Answer:
Step-by-step explanation:
(x₁, y₁) = (-9, 7) & (x₂ , y₂) = (9 , -3)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-7}{9-[-9]}\\\\= \frac{-3-7}{9+9}\\\\=\frac{-10}{18}\\\\= \frac{-5}{9}[/tex]
Find the area, in square units, of ABC plotted below.
Answer:
43.55
Step-by-step explanation:
1. Use the distance formula on both points AC and AB.
Distance formula is this:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
The area of triangle ABC is 43.5 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shape ABC is a triangle.
Where,
AB = Base
AC = Height
A = (1, 8)
B = (6, 6)
C = (-5, -7)
First, let's find the length of AB using the distance formula:
AB = √((6-1)² + (6-8)²)
= √(25 + 4)
= √(29)
Next, let's find the length of AC using the distance formula:
AC = √((1-(-5))² + (8-(-7))²)
= √(36 + 225)
= √(261)
The area of the triangle ABC can be found using the formula:
Area = (1/2) x base x height
We know that AB is the base and AC is the height,
Area = (1/2) x AB x AC
Area = (1/2) x √(29) x √(261)
Area = (1/2) x √(7569)
Area = (1/2) x 87
Area = 43.5
Therefore,
The area of triangle ABC is 43.5 square units.
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jesuseduardomontiel0 avatar
jesuseduardomontiel0
3 days ago
Mathematics
High School
Daniel has 4.8 pounds of ground beef. He makes 8 burgers of equal amounts. Daniel draws this model to show how much each burger will weigh. Daniel's model correct? Why or why not?
WOW JIMMY. THATS A BIG . BIG. BIG. NUT SACK
Type the missing number in this sequence:
58, 65, 72, ___, 86, 93
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
Each number has a 7 numerical difference
The prime factorization of
___
Answer:
80
Step-by-step explanation:
Answer:
The correct answer is 80.
Step-by-step explanation:
=2^4×5
=2×2×2×2×5
=4×2×2×5
=8×2×5
=16×5
=80#
the angles of a triangle are in the ratio 2:3:4 find the size of each angle
Answer:
40:60:80
Step-by-step explanation:
2x+3x+4x=180 (sum of ang. In tri. Is 180)
X=20
2x is 40
3x is 60
4x is 80
40 plus 60 plus 80 is 180.
5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?
Answer:
5.3 hours
Step-by-step explanation:
Jane can paint the office by herself in 7 hours.
with an associate, she can paint the office in 3 hours.
The combined work rate is 3 hours per office
Required
the work rate for the associate
Step two:
let the expression for the wok rate be
1/A+1/B= 1/T
1/7+1/B=1/3
1/B=1/3-1/7
1/B= 8-4/21
1/B= 4/21
B= 21/4
B=5.3 hours
the work rate for the associate is 5.3 hours
John is standing on a set of bleachers and throws a baseball into the air. the baseball lands on the field. the height of the ball, in meters, is modeled by the function shown in the graph. what's the average rate of change of the height of the ball from the point when John throws it to its maximum height?
Answer:
2 m/s
Step-by-step explanation:
Given the graph of the baseball thrown into air.
John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.
The height of the baseball (in metres) is modeled by the function graph with respect to time.
To find:
The average rate of change of height of the ball from the point the ball is thrown to the maximum height.
Solution:
Here, the average rate of change can be found by dividing the distance between the two points with the change in time.
The starting time is 0 seconds.
The starting height is 3 metres.
The ending time is 2 seconds i.e. at which the ball reaches the maximum height.
The height is 7 metres.
Therefore, the average rate of change is:
[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]
Answer:
2 meters per second
Step-by-step explanation: I took the test
What is the answer to 2W-12-5
Answer: 2W-17
Step-by-step explanation: HOPE THIS HELPS
Plzzzz help right answer gets a brainly!
Answer: A, The line starts at 9 and ends at 29
HELP!!!!!!!!!!!!!!!!!
Answer:
b
-8
Step-by-step explanation:
Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)
(y-4) = 2(X+1)
Step-by-step explanation:
Hey there!
The given eqaution is; y = 2x-5.......(i)
Now; As the eqaution is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the eqaution of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write upto here. But it you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Hope it helps.....
Answer: y - 4 = 2(x + 1)
Step-by-step explanation:
The point slope form formula says that y - b = m(x-a) where m is the slope,b is the y coordinate of a given point , and a is the x coordinate of the same point.
Remember that parallel lines have the same slopes but different y-intercepts, meaning that m will equal to 2 because the slope for the line y=2x-5 is 2.
m will be 2, b will be 4 , and a will be -1.
y - 4 = 2(x - (-1) which reduces to
y - 4 = 2(x + 1)
Calculate the speed of a wave with a frequency of 2 Hz, amplitude of 3m, and a wavelength of 10m
The speed of a wave is the product of the wavelength and its frequency.
The speed of the wave is 20m/s
Given
[tex]\lambda = 10m[/tex] --- the wave length
[tex]f =2Hz[/tex] --- the frequency
[tex]A = 3m[/tex] --- the amplitude
The speed of wave (v) is calculated as follows:
[tex]v =f\lambda[/tex]
Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]
[tex]v = 2Hz \times 10m[/tex]
[tex]v = 20ms^{-1}[/tex]
Hence, the speed of the wave is 20m/s
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Type the correct answer in the box. Round your answer to the nearest integer.
B
D
30
35
A
С
In the figure, if m_ABD = 120°, then m_ADC =
-4345
Answer:
[tex]m\angle ADC=132^\circ[/tex]
Step-by-step explanation:
The Law of Sines
It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:
[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]
We have completed the figure with the variable x for angle BDA. Thus
[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]
Solving for x:
[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]
Calculating:
[tex]\sin x=0.742[/tex]
[tex]x=\arcsin 0.742[/tex]
[tex]x\approx 48^\circ[/tex]
Since angles ADC and x are linear, their sum is 180° and:
[tex]m\angle ADC=180^\circ-48^\circ[/tex]
[tex]\mathbf{m\angle ADC=132^\circ}[/tex]
If a triangle has a 30° angle and a 60° angle, then the triangle is an obtuse triangle
True or false
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
60+30=90, and because a triangle always has a total of 180 degrees for their interior angles, the remaining angle is 90 degrees, so it is a right triangle, not obtuse.
Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?
Answer: Yes
Step-by-step explanation:
A supplementary triangle has sides adding up to 180°.
We have the side lengths 40, 60, and 80.
To find out if it is a supplementary triangle, we will add all the sides.
40 + 60 + 80 = 180
We get 180° as our answer when we add.
We got 180°, so the answer is yes, it can.
Best of Luck!
Answer:
yes.
Step-by-step explanation:
Any angle that adds up to 180 is a supplementary angles.
based on your examples 40, 60, 80, if you sum it up...
it equates to 180. so the answer is yes.
Please help me Asp with this
Answer:
13/24 more
Step-by-step explanation:
Dina = 5/6
Natasha = 11/8
Find the LCF
6| 6, 12, 18, 24
8| 8, 16, 24
Get each fraction to have a denominator of 24
5/6 = 20/24
11/8 = 33/24
Subtract 20/24 from 33/24
33/24 - 20/24 = 13/24
The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?
a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.
Answer:
c. The particle is moving away from the origin at a decreasing speed.
Step-by-step explanation:
Since x(2) which represents the particles position is less than zero, that is, x(2) < 0, it shows that the particle is at the left of the origin at t = 2.
Also, x'(2) which represents the particle's speed at t = 2 is less than zero, that is, x(2) < 0, the particles speed is negative at t = 2.
Finally, since x"(2) which represents the particle's acceleration at t = 2 is less than zero, that is, x"(2) < 0, the particle's acceleration is negative at t = 2 and thus decreasing.
So, combining these three conditions together shows that the particle is moving away from the origin at a decreasing speed at time, t = 2.
Since [tex]x(2)[/tex], which represents the subatomic particle location, is below zero, that is, [tex]x(2) <0[/tex], it indicates that the particles are to the left of the origin at [tex]t = 2.[/tex]
Therefore, [tex]x'(2)[/tex], which represents the particle's speed at [tex]t = 2[/tex], is less than zero, implying that[tex]x(2) <0[/tex], the subatomic particle speed at [tex]t=2[/tex], is negative.Furthermore, because [tex]x"(2)[/tex], which represents that particle's acceleration at [tex]t = 2[/tex], is less than zero, [tex]x"(2)< 0[/tex], the particle's acceleration at [tex]t = 2[/tex] is negative and consequently declining.Considering these three requirements reveals that at the moment [tex]t = 2[/tex], the particle is moving away from the nucleus at a decreasing speed.Therefore, the answer is "Option C".
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pls help me if you do geometry and really good at this
pls help i don’t know how to simplify lol
Answer:
the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)
Answer: 5/12, 3/14
Step-by-step explanation:
first problem:
first, we just reduce the numbers.
5/4 x 1/3
then, we simply multiply.
5/12
second problem:
again, we just reduce the numbers.
3/2 x 1/7
and then multiply.
3/14
X=UHB SOLVE FOR H.
SOMEONE HELP ME PLS I BEG YOU!!
Answer:
[tex]\frac{X}{UB} = H[/tex] is the answer.
Step-by-step explanation:
Since we are solving for H, we need to get rid of everything that isn't H.
X = UHB can also be shown as X = UBH
Divide by UB on both sides to equal to H.
[tex]\frac{X}{UB} = H[/tex]
This is your answer.
#teamtrees #WAP (Water And Plant)
95 points!!!! please help
When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets home.
Draw a graph to represent this situation?
Answer:the sum of the first 20 terms of the sequence 50, 100, 150,.... is equal to
Step-by-step explanation:
Answer:
Just subtract, 400 - 50 = 350, 350 - 50 = 300....etc until you reach (8,0) point on the graph. Graph a straight line down from starting point (0,400) on graph to (8,0). This is your answer subtract 50 from 400 until you reach 0. Starting point (0,400) and ending point (8,0), it's a straight line down ward..
Step-by-step explanation:
Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?
Answer:
The result of the correct substitution gives:
x = 3/7 and y = 27/7
Step-by-step explanation:
From the given information:
y = 2x + 3 ---- (1)
3x + 2y = 9 ---- (2)
By using substitutional method
Substitute the value of y = 2x +3 into equation (2)
So,
3x + 2(2x + 3) = 9
3x + 4x + 6 = 9
7x = 9 - 6
7x = 3
x = 3/7
From equation (1), let replace the value of x to be 3/7
So,
y = 2x + 3
y = 2(3/7) + 3
y = 6/7 + 3
y = 27/7
To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30
6 or 10
16 or 30
30 only
6, 10, or 30
Answer:
6,10,or 30 is your answer
Please help please please
PLEASE HELP ASAP!!!
Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)
Answer:
1.)10 2.)0 3.)10
Step-by-step explanation:
1.) 4 (2) = 8 + 2 = 10
2.) 2(2) - 4/5 = 0
3.)2y + 11/-11 = +3y/-3y +1
2y - 3y = 1 - 11
-1y/-1 = -10/-1 = 10
What is the quotient of 8/9 ÷ 16/9
Answer:
1/2 or 0.5
Step-by-step explanation:
What is the value of x?
Answer:
Step-by-step explanation:
The triangle is equilateral. That means that <N = 60 degrees
7x - 3 = 60 degrees Add 3
7x = 60 + 3 Combine the right
7x = 63 Divide by 7
7x/7 = 63/7
x = 9
Sophia, Aiden, and Jaiden had a challenge to see who could bike the farthest in one day. Sophia biked 13 miles, Aiden biked 2 times as many miles as Jaiden and Jaiden biked 3 times as many miles as Sophia. How many miles did Aiden bike?
Answer:
78 is the answer
Step-by-step explanation:
ok so look below for steps to solve it!
step 1: it says Jaiden did 3* as many so multiply 3*13=39
step 2: then multiply 39*2=78
step 3: thus, the answer is 78
please give me brainliest! have a great day!
Answer:
Its 78
Step-by-step explanation:
A class has 11 seniors and 7 juniors. If two students are chosen at random, what is
the probability that the students chosen will be a senior and a junior?
Answer:
Seniors: 11/18
Juniors: 7/18
Step-by-step explanation:
11+7=18
Help if you know please
Answer:
D, F, C
I hope this helps you out! :D
Answer:
A and E
Step-by-step explanation:
I have attached the graph of the problem.