Answer:
[tex]\large \boxed{9.22}[/tex]
Step-by-step explanation:
The formula for the distance between two points is
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
x₂ - x₁ = 4 - (-2) = 9
y₂ - y₁ = 3 - (-4) = 7
The formula, in effect, creates a right triangle, so we can use the Pythagorean theorem to calculate the distance.
[tex]\begin{array}{rcl}AB & = & \sqrt{6^{2} + 7^{2}}\\& = & \sqrt{36 + 49}\\& = & \sqrt{85}\\& \approx & \mathbf{9.220} \end{array}\\\text{The approximate distance between the points is $\large \boxed{\mathbf{9.220}}$}[/tex]
The approximate distance between points A and B will be equal to 9.220.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The length of the line segment between two places represents their distance.
Most notably, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula for the distance between two points is,
[tex]D =\sqrt{(x_2-x_1)+y_2-y_1)^2[/tex]
x₂ - x₁ = 4 - (-2) = 9
y₂ - y₁ = 3 - (-4) = 7
The formula, in effect, creates a right triangle, so we can use the Pythagorean theorem to calculate the distance.
AB = √( 6² + 7² )
= √ ( 36 + 49 )
= √85
= 9.22
Therefore, the approximate distance between points A and B will be equal to 9.220.
To know more about Coordinate geometry follow
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help me please! i’m very behind.
0 Translating Inequalities
Match the inequality with its symbolic form,
A number is at most 6
A number is below 5
A number is not less than 5
A number is larger than 6
Answer:
A number is larger than 5 --> x > 5
A number is not less than 5 --> x ≥ 5
A number is at most 5 --> x ≤ 5
A number is below 5 --> x < 5
Step-by-step explanation:
Explaining each choice:
"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.
"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.
"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.
"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.
In the diagram, line c is a transversal of lines a and_______
Answer:
b
Step-by-step explanation:
C cuts a and b as well.Therefore it will be the transversal of a and b.
plzz mark this answer as brainliest answer
Answer:
b
Step-by-step explanation:
just did it on edge
Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4
Answer:
B) [tex]-5n^4[/tex]
Step-by-step explanation:
We want to simplify [tex]\sqrt[3]{-125n^{12}}[/tex]
[tex]\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4[/tex]
The answer is [tex]-5n^4[/tex]
There are nuts in three boxes. In the first box, there are 6 fewer pounds of nuts than in the other two boxes combined. In the second box, there are 10 fewer pounds of nuts than in the other two boxes combined. How many pounds of nuts are there in the third box?
Answer:
8 pounds
Step-by-step explanation:
Let a, b, c represent the number of pounds of nuts in the first, second, and third boxes, respectively. We can write the equations ...
a = b +c -6 . . . . . first box has 6# fewer than the total of the others
b = a +c -10 . . . . second box has 10# fewer than the total of the others
Substituting the second equation into the first, we find ...
a = (a +c -10) +c -6
0 = 2c -16 . . . . subtract a
0 = c -8 . . . . . . divide by 2
8 = c . . . . . . . . . add 8
There are 8 pounds of nuts in the third box.
25 POINTS! The graph shows two lines, M and N. A coordinate plane is shown with two lines graphs. Line M has a slope of 1 and passes through the y axis at negative 2. Line N has a slope of 1 and passes through the y axis at negative 2. How many solutions are there for the pair of equations for lines M and N? Explain your answer. PLS ANSWER AS SOON AS POSSIBLE
Answer:
Infinite solutions
Step-by-step explanation:
Both lines have the same slope and y-intercept, therefore they are the same line and intersect at all points, resulting in infinite solutions.
Jonah’s dog walking service went so well that he decided to do it again the following summer. This summer, however, Jonah will only have 8 weeks of free time. He is hoping to earn a total of $200. Select all of the strategies that would allow Jonah to reach his $200 goal in 8 weeks. Remember, last summer he made $3 per dog and walked 5 dogs per week. Continue walking 5 dogs per week, but increase his rate to $5 per dog Continue walking 5 dogs per week, but increase his rate to $4 per dog Walk 8 dogs per week at the same rate as $3 per dog Double the amount of dogs he walks per week, but keep the same rate of $3 per dog Double the amount of dogs he walks per week and cut his rate to $2 per dog
Answer:
The correct options are;
1) Continue walking 5 dogs per week, but increase his rate to $5 per dog
4) Double the amount of dogs walked per week but keep the same rate of $3 per dog
Step-by-step explanation:
The parameters given are;
Jonah is hoping to earn $200 from 8 weeks of dog walking
Therefore, Jonah has to make $200/8 per week or $25 per week
1) Continue walking 5 dogs per week, but increase his rate to $5 per dog
With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total
2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks
3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks
4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks
5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks
Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;
1) Continue walking 5 dogs per week, but increase his rate to $5 per dog
4) Double the amount of dogs walked per week but keep the same rate of $3 per dog.
A jacket is on sale for 10% off including the discount and 7% tax the sales price of the jacket is $115.56 what is the price of the jacket before the discount and tax
Answer:
120.00
Step-by-step explanation:
Let x be the original price
The price is 10% off, or we pay 90% of the original price
.9 x
Then we have to pay 7% sales tax
.9x * 7%
.9x * .07
.063x is the tax
Add this to the .9x we have to pay for the jacket
.9x + .063x = .963x
This is the cost of the jacket
.963x = 115.56
Divide each side by.963
.963x/.963 = 115.56/.963
x =120.00
The cost of the jacket before discount and tax is 120.00
Wegnerkolmp or someone please help me with this question about slope....
Answer:
The slope is -3/4
Step-by-step explanation:
We need two points to find the slope
We have one point at (0,5) and we have one point at (4,2)
We can use the slope formula
m = (y2-y2)/(x2-x1)
= (2-5)/( 4-0)
= -3/4
The slope is -3/4
Answer:
-3/4
Step-by-step explanation:
Get the coordinates of 2 points on the line:
(0, 5) and (4, 2)Use formula to find the slope:
m= (y2-y1)/(x2-x1)m=(2-5)/(4-0)= -3/4So the slope is -3/4
PLEASE HELP!!! Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.
Answer: I would paint either of the 3/4 of a circle or a circular ring.
Step-by-step explanation: We shall start by calling the three quarter circle on the left A, and the ring on the right we shall call B.
The area of both can be calculated and that figure which results in the lesser value (of area) shall cost you less to paint.
For A, the area of the circle is given as
Area = πr²
Where π shall be taken as 3.14 and the radius r is 6.
Area = 3.14 * 6²
Area = 3.14 * 36
Area = 113.04
The area of the quarter of the circle would be subtracted from the total area as shown in the calculation above.
Area of sector = ∅/360 * πr²
The sector is a quarter of the circle and that makes the angle at the sector to be equal to (360/4) 90 degrees. Therefore ∅ equals 90.
Area of sector = (90/360) * 113.04
Area of sector = 1/4 * 113.04
Area of sector = 28.26
Area of A therefore is derived as;
Area of A = 113.04 - 28.26
Area of A = 84.78 square metres
For B, the area of the ring is given as follows;
Area of B = Area of larger circle - Area of smaller circle
Area of B = πR² - πr²
Where R is the radius of the larger circle and r is the radius of the smaller inner circle. By factorizing the right hand side of the equation, we now have;
Area of B = π (R² - r²)
Area of B = 3.14 (6² - 3²)
Area of B = 3.14 (36 - 9)
Area of B = 3.14 * 27
Area of B = 84.78 square metres.
From the calculations shown along with the explanations, both the three-quarters and the ring have exactly the same area, which means you are going to spend exactly the same quantity of paint and spend the same amount of time painting either one of them.
So the answer is; I would paint EITHER ONE OF THEM.
the triangle ADE
BC is parallel to DE
AB = 9cm, AC = 6cm, BD = 3cm, BC = 9cm
Answer:
a) DE is 12 cm
b) CE is 2 cm
Step-by-step explanation:
In the two triangles [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].
[tex]\angle A[/tex] is common.
BC || DE
[tex]\Rightarrow \angle B = \angle D\ and \\ \Rightarrow \angle C = \angle E[/tex]
[tex]\because[/tex] two parallel lines BC and DE are cut by BD and CE respectively and the angles are corresponding angles.
All three angles are equal hence, the triangles:
[tex]\triangle ABC[/tex] [tex]\sim[/tex] [tex]\triangle ADE[/tex].
Ratio of corresponding sides of two similar triangles are always equal.
[tex]\dfrac{AB}{AD} = \dfrac{BC}{DE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{9}{DE}\\\Rightarrow \dfrac{9}{12} = \dfrac{9}{DE}\\\Rightarrow DE = 12\ cm[/tex]
[tex]\dfrac{AB}{AD} = \dfrac{AC}{AE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{6}{AC+CE}\\\Rightarrow \dfrac{9}{12} = \dfrac{6}{6+CE}\\\Rightarrow 6+CE = \dfrac{4\times 6}{3}\\\Rightarrow 6+CE = 8\\\Rightarrow CE = 2\ cm[/tex]
So, the answers are:
a) DE is 12 cm
b) CE is 2 cm
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Answer:
Both expressions equal 5 when substituting 2 for x because both expressions are equivalent
Step-by-step explanation:
Given
[tex]\frac{1}{2}x + 4[/tex] - Expression 1
[tex]x + 6 - \frac{1}{2}x - 2[/tex] -- - Expression 2
Required
Find the result of both expressions when [tex]x = 2[/tex]
Expression 1
[tex]\frac{1}{2}x + 4[/tex]
Substitute [tex]x = 2[/tex]
[tex]\frac{1}{2} * 2 + 4[/tex]
[tex]1 + 4[/tex]
[tex]Result = 5[/tex]
Expression 2
[tex]x + 6 - \frac{1}{2}x - 2[/tex]
Substitute [tex]x = 2[/tex]
[tex]2 + 6 - \frac{1}{2} * 2 - 2[/tex]
[tex]2 + 6 -1 -2[/tex]
[tex]Result = 5[/tex]
Answer:
Putting it short: Both expressions equal 5 when substituting 2 for x because both expressions are equivalent
Step-by-step explanation:
Please help me ASAP!
Answer:
Exponential growth
Step-by-step explanation:
This is not a negative so it is growing.
Hope this helps!
expand this expression 3m(2m+n-5)
Answer:
6m^2 + 3mn - 15m.
Step-by-step explanation:
3m(2m + n - 5)
= (3m * 2m) + (3m * n) - (3m * 5)
= 6m^2 + 3mn - 15m.
Hope this helps!
Answer:
[tex]6m^2+3mn-15m[/tex]
Step-by-step explanation:
[tex]3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m[/tex]
BRAINLIEST LCM PICTURE INCLUDED
Answer: D) 11/9
Step-by-step explanation:
LCM of 5, 9, 3, 8, 7 = 5 x 9 x 8 x 7 = 2520
Convert each fraction so the denominator = 2520
[tex]\dfrac{3}{5}\bigg(\dfrac{9\times 8 \times 7}{9\times 8 \times 7}\bigg)=\dfrac{1512}{2520}\\\\\\\dfrac{5}{9}\bigg(\dfrac{5\times 8 \times 7}{5\times 8 \times 7}\bigg)=\dfrac{1400}{2520}\\\\\\\dfrac{2}{3}\bigg(\dfrac{5\times 3\times 8 \times 7}{5\times 3\times 8 \times 7}\bigg)=\dfrac{1680}{2520}\\\\\\\dfrac{5}{8}\bigg(\dfrac{5\times 9 \times 7}{5\times 9 \times 7}\bigg)=\dfrac{1575}{2520}\\\\\\\dfrac{4}{7}\bigg(\dfrac{5\times 9 \times 8}{5\times 9 \times 8}\bigg)=\dfrac{1440}{2520}\\\\\\[/tex]
The smallest number is [tex]\dfrac{1400}{2520}=\dfrac{5}{9}[/tex] and the largest number is [tex]\dfrac{1680}{2520}=\dfrac{2}{3}[/tex]
[tex]\dfrac{5}{9}+\dfrac{2}{3}\\\\\\=\dfrac{5}{9}+\dfrac{2}{3}\bigg(\dfrac{3}{3}\bigg)\\\\\\=\dfrac{5+6}{9}\\\\\\=\large\boxed{\dfrac{11}{9}}[/tex]
The graph represents a distribution of data. Which statement about the data is true
Answer:
the answer is D i believe
Step-by-step explanation:
-4x+7>x-13
Can someone please help
Answer:
-4x+7>x-13
Group like terms
We have
- 4x - x > - 13 - 7
-5x > - 20
Divide both sides by - 5
-5x / -5 > -20/-5
x < 4
Hope this helps you
Answer:
x < 4Step-by-step explanation:
[tex]-4x+7>x-13\\Subtract ; -x from-both-sides\\-4x+7-x>x-13-x\\-4x-x+7>-13\\Subtract; -7 -from-both-sides\\-5x+7 -7>-13-7\\-5x>-20\\Divide- both- sides -by -5\\\frac{-5x}{-5} >\frac{-20}{5} \\x < 4[/tex]
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
A. 3
B. t<4
C. t>4
D. 3>t>4
Answer: 3 < t < 4
Step-by-step explanation:
Given the following information :
Initial Velocity of projectile = 112 ft/s
Height (h) above the ground after t seconds :
h = –16t2 + 112t
To calculate the time when h exceeds 192 Feets (h >192)
That is ;
-16t^2 + 112t = > 192
-16t^2 + 112t - 192 = 0
Divide through by - 16
t^2 - 7t + 12 = 0
Factorizing
t^2 - 3t - 4t + 12 =0
t(t - 3) - 4(t - 3) = 0
(t-3) = 0 or (t-4) =0
t = 3 or t=4
Therefore, t exist between 3 and 4 for height in excess of 192ft
–16(3)^2 + 112(3) = 192 feets
–16(4)^2 + 112(4) = 192 feets
3 < t < 4
How many days are there in 12 years?
Answer: 4380
Step-by-step explanation:
Answer:
4380 days
Step-by-step explanation:
365 (# of days in a year) x 12 (years) = 4380 days in 12 years
In a random sample of 1066 U.S. adults, 580 think that the U.S. government
is doing too little to protect the environment. In another random sample of
1038 U.S. adults taken 10 years ago, 514 think that the U.S. government is
doing too little to protect the environment. At a = 0.10, can you reject the
claim that the proportion of U.S. adults who think that the U.S. government
is doing too little to protect the environment has not changed?
Resource: Two Samples, Proportions
Answer:
Step-by-step explanation:
This is a test of 2 population proportions. Let 1 and 2 be the subscript for the adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago. The population proportions would be p1 and p2 respectively.
p1 - p2 = difference in the proportion of adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago.
The null hypothesis is
H0 : p1 = p2
p1 - p2 = 0
The alternative hypothesis is
Ha : p1 ≠ p2
p1 - p2 ≠ 0
it is a two tailed test
Sample proportion = x/n
Where
x represents number of success
n represents number of samples
For the present,
x1 = 580
n1 = 1066
p1 = 580/1066 = 0.54
For 10 years ago,
x2 = 514
n2 = 1038
P2 = 514/1038 = 0.5
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (580 + 514)/(1066 + 1038) = 0.52
1 - pc = 1 - 0.52 = 0.48
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.54 - 0.5)/√(0.52)(0.48)(1/1066 + 1/1038) = 0.04/0.02178551744
z = 1.84
Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the test z score in the right tail 1 - 0.967 = 0.033
We would double this area to include the area in the left tail of z = - 1.84 Thus
p = 0.033 × 2 = 0.066
Alpha = 0.1
Since alpha, 0.1 > p value 0.066, we would reject the null hypothesis.
Therefore, at a = 0.10, we can reject the
claim that the proportion of U.S. adults who think that the U.S. government
is doing too little to protect the environment has not changed.
Solve (2x + y) (2x - y)
Answer:
Hello There!
~~~~~~~~~~~
(2x + y) (2x - y) =
[tex]4x^{2} - y^{2}[/tex]
Step-by-step explanation: Simplify the expression.
Hope this helped you. Brainliest would be nice!
☆_____________❤︎______________☆
Answer:
Step-by-step explanation:
there is formula (a+b)(a-b)=a^2-b^2
(2x+y)(2x-y)=(2x)^2-y^2=4x^2-y^2
In a test of a method of gender selection, 725 couples used the XSORT method and 368 of them had baby girls. Choose the correct answer below. A. The data set is neither continuous nor discrete. B. A continuous data set because there are infinitely many possible values and those values can be counted C. A continuous data set because there are infinitely many possible values and those values cannot be counted D. A discrete data set because there are a finite number of possible values
Answer:
D. A discrete data set because there are a finite number of possible values
Step-by-step explanation:
If in a test of a method of gender selection, 725 couples used the XSORT method and 368 of them had baby girls. Therefore, this is a discrete data set because there are a finite number of possible values.
A discrete data is a data set in which the number of possible values are either finite or countable.
For continuous data, there are infinitely many possible values in the data set and those values are uncountable, meaning they cannot be counted.
In this scenario, 725 couples used the XSORT method and 368 of them had baby girls. Therefore, this is a discrete data because the values (725 and 368) are finite and can be counted.
X+ 15 = 28
what’s the solution to this question
Answer: x = 13
Step-by-step explanation:
28 - 15 = 13
Answer:
x=13
Step-by-step explanation:
28 - 15 = 13 thus x=13
A and b can do a piece of work in 30 days while b and c can do the same work in 24 days and c and a in 20 days. If they all work together, in how many days will the work finish?
Answer:
16 days.
Step-by-step explanation:
The work done by a and b in one day = 1/30
The work done by b and c in one day = 1/24
The work done by c and a in one day = 1/20
Find the sum of all these fractions , this will be the work done by 2a and 2b and 2c in one day. This gives 0.125, which is equivalent to 1/8.
The work done by 2 of each person = 8, so it takes double this value for just one of each person, this is 16 days.
Hope this helps
There are two cube-shaped tanks. One of the tank has a 3 m side, while the other one has a side measuring half of the first one. Which tank can store more water and why
Answer: The tank which has 3 m side.
Step-by-step explanation: A cube is a form that has equal sides. To calculate the volume of it, multiply all three sides:
V = length*width*height
Since they are all the same, volume will be:
V = s³
One tank has a 3 m side, so its volume is:
V = 3³
V = 27 m³
The other has half of the first one side, then s = [tex]\frac{3}{2}[/tex] and volume will be:
V = [tex](\frac{3}{2})^{3}[/tex]
V = [tex]\frac{27}{8}[/tex] m³
As you can see, the volume of the second tank is [tex]\frac{1}{8}[/tex] smaller than the first one. Therefore, the tank which has 3 m side can store more water than the tank with side measuring half of the first.
Please answer this question now in two minutes
Answer:
30+37=67
180-67=113
Step-by-step explanation:
its a triangle lol
A football team carried out a report to see the impact of stretching on preventing injury. Of the 32 footballers in the squad 25 stretch regularly. Of those who stretch, 3 got injured last year. There was a total of 8 injured players last year. The results can be presented in a frequency tree. What fraction of players are not stretching regularly?
Answer:
1/16
Step-by-step explanation:
Total = 32 footballers
25 stretch regularly.
3 injure last year
now, 22 stretch regularly.
out of 32, 8 are injured. Therefore, 32-8=24 should stretch regularly but only
22 stretch regularly. Therefore, 24-22 =2 are not stretching regularly.
fraction of players are not stretching regularly = 2/32 =1/16
helppppppppppppppppppppppppppppppp plz
The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)
If the circumference of a circular tank is 44m. Find the diameter
Answer:
14 mSolution,
Circumference of circular tank = 44m
Radius = ?
Diameter= ?
Now,
Circumference of a circle = 44
[tex]or \: 2\pi \: r \: = 44[/tex]
[tex]or \: 2 \times 3.14 \times r = 44[/tex]
[tex]or \: 6.28r = 44[/tex]
[tex]or \: r = \frac{44}{6.28} [/tex]
[tex]r = 7.0 \: m[/tex]
Again,
Diameter = 2 radius
= 2 * 7.0
= 14 m
Hope this helps..
Good luck on your assignment..
Answer:
2×3.14×r=44
6.28r=44
r=44/6.28
r=7.0
d=r
2×7.0
14
Find the area and perimeter of shape ABCD with vertices A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).
Answer:
Perimeter = 22
Step-by-step explanation:
To find the perimeter, we will follow the steps below:
A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).
First, we will find the distance AB
A = (-1,-1), B = (2,3)
|AB| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = -1 y₁=-1 x₂=2 y₂=3
we can now proceed to insert the values into the formula
|AB| = √(x₂-x₁)²+(y₂-y₁)²
= √(2+1)²+(3+1)²
= √(3)²+(4)²
= √9 + 16
=√25
= 5
|AB| = 5
Next, we will find the distance BC
B = (2,3), C = (5,3),
|BC| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = 2 y₁=3 x₂=5 y₂=3
we can now proceed to insert the values into the formula
|BC| = √(x₂-x₁)²+(y₂-y₁)²
= √(5-2)²+(3-3)²
= √(3)²+(0)²
= √9 + 0
=√9
= 3
|BC|=3
Next, we will find the distance CD
C = (5,3), D = (8,-1).
|CD| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = 5 y₁=3 x₂=8 y₂=-1
we can now proceed to insert the values into the formula
|CD| = √(x₂-x₁)²+(y₂-y₁)²
= √(8-5)²+(-1-3)²
= √(3)²+(-4)²
= √9 + 16
=√25
= 5
|CD|=5
Next, we will find the distance DA
D = (8,-1) A = (-1,-1)
|DA| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = 8 y₁=-1 x₂=-1 y₂=-1
we can now proceed to insert the values into the formula
|DA| = √(x₂-x₁)²+(y₂-y₁)²
= √(-1-8)²+(-1+1)²
= √(-9)²+(0)²
= √81 + 0
=√81
= 9
|DA|=9
PERIMETER = |AB|+|BC|+|CD|+|DA|
=5 + 3+5 +9
=22
Perimeter = 22
Please answer this in two minutes
Answer:
131°.
Step-by-step explanation:
its equal to that other angle i forgot how but i learned this 1 week ago