The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The perimeter of the quadrilateral ABCD is plotted. These are the points:
A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)
The distance of AB
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]
The distance of BC
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]
The distance of CD
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]
The distance of AD
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]
Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.
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Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
Write an expression to represent the total cost of the shirts in two different ways.
Enter the correct answers in the boxes.
Answer:
2S + 0.065(2S)
Step-by-step explanation:
Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S
a tax is a compulsory sum levied on goods and services. tax increases the price of a good
The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)
This gives = 2S + 0.065(2S)
Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S
We want to write two expressions that represent the total cost of the shirts, the expressions are:
Cost = P*(1.065) + P*(1.065)
cost = P*2.13
We know that Benita buys two shirts for the same price, P.
Then at this moment. the total cost is just:
cost = 2*P
Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:
P' = P*(1 + 6.5%/100%) = P*(1.065)
Then the total cost is twice that amount, written as:
Cost = P*(1.065) + P*(1.065)
This can be one of the two expressions.
Now to get the other expression, we just simplify the above one:
cost = 2*P*(1.065) = P*2.13
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The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)
Answer:
i dont know this is ut of my slybos
Step-by-step explanation:
The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)
What is the value of x to the nearest tenth ?
Answer:
7.2
Step-by-step explanation:
24/2 = 12
19.2/2 = 9.6
[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84
[tex]\sqrt{51.84}[/tex] = 7.2
Help Fast!!! What is 65 divided by 2,210 in a number not percentages or a fraction.
Answer:
0.02941176...
— Used a calculator for this, so it is guarantied correct! Hope this helps. Brainliest appreciated (and very much needed)
Halp,ignore the answer I chose lolz
Answer:
the answer will be b that should be the answer
PLS ASSAAAAPPP IMMA CRY( MAY U PLS SHOW HOW TO DO IT LIKE THE WORK)!!
Darwin's house is located on the edge of a park. He leaves his house and walks north along the edge of the park for 5 blocks. He turns and walks 12 blocks west in the park. He then walks directly back to his house in a straight line across the park. Determine the total distance of his trip. HINT: you must find the length of the hypotenuse
Answer:
here you go
Step-by-step explanation:
A box with no top is to be constructed from a piece of cardboard whose length measures 6 inches more than its width. The box is formed by cutting squares that measure 2 inches on each side from the four corners and then folding up the sides. If the volume of the box will be 14 in^3, what are the dimensions of the piece of cardboard?
Answer:
This is not possible
W = width of cardboard to start with
W+6 = length of cardboard to start with
H =2 (height of finished box)
volume = W x L x H = 14 in^3
if H=2 in, then the area of the base before cutting out the 2x2 corners is W x L = 7 in^2
This is not enough area to cut out the 4 corners of 2x2 each, which would be 16 in^2
XYZ will be translated so that the coordinates of X are (5,11)
Answer: B
Step-by-step explanation:
Apply the distributive property and simplify. -9(x+2)=45 -9x+(__)=45
Tacos from the taco truck or 60% off on Tuesdays Erica by the taco for 1.50 on Tuesday she wants to know the regular price of a taco quick answer
Answer:
3.75
Step-by-step explanation:
i did the lesson its correct :)
Answer:
Regular Price: 100%
$3.75
Sale price: 40%
$1.50
Discount:
60%
$2.25
Which equation can be used to find the regular price, r, of a taco?
1.5 = 0.4r
Step-by-step explanation:
Read the answers correctly, or you might be typing in the wrong answer.
Everything is all correct, Thank me later :)
Please help me will give brainlest to correct answer and simple/small explanation
Answer:
the measure of the angle is 72
x=36
Step-by-step explanation:
we can make an algebraic equation using the info given
2x+80=152
2x=72
x=36
the measure of the angle is 72
Answer:
x = 36, the measure of the angle is 72
Step-by-step explanation:
We can see this because Angle 2x and Angle 72 are verticle angles. Based on this information we know that verticle angles are congruent to each other, meaning the are the same. So that leaves us with an equation to figure out x.
2x = 72
[tex]\frac{2x}{2}[/tex] = [tex]\frac{72}{2}[/tex]
x = 36
Sharon is buying candy. she buys 5 type on the menu if she splits the price equality with four friends how mich do they each pay
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
they all must pay 0.65 each
Answer:
0.65
Step-by-step explanation:
Line A passes through the points (-4, 3) and (-2, -1). Line B passes through the points (-4, 4) and (-5, 7). At what point do the lines intersect?
Answer:
he
Step-by-step explanation:
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1. What is (6^1/2 x3/4 simplified?
Answer:
1/ 6
Step-by-step explanation:
The regular price of a pair of shoes is $65.00. The shoes are on sale for $58.50. What is the percent decrease in the price of the shoes?
Answer:
10%
Step-by-step explanation:
65.00x10%=6.50
65.00-6.50
0r you can do
65.00-10%=58.50
What is the slope of the line that passes through the points (3, 4) and (-8, -2)?
Answer:
6/11
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-4)/(-8-3)
m=-6/-11
m=6/11
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.
Or you can do it using the Pythagorean Theorem directly:
9^2 + 12^2 = 15^2
and that is true.
Answer:
yes it is.
Step-by-step explanation:
pythagorean theorem. A^2 + B^2 = C^2
Ex 9^2 + 12^2 = 15^2
enter an equation that represents the function defined by this table of values
Answer: -3x + 1
Step-by-step explanation:
Looking at the y table, when we subtract 1 from them, they become multiples of -3
So we multiply x by -3 then add 1
of the 19 total sloths that were spotted how many were not seen in the 30 - 39 interval
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
39 - 30 = 9
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Find the slope of the line ([tex]m[/tex])
When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:
[tex]y=3x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.
[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]
Subtract both sides by 12
[tex]-3-12=12+b-12\\-15=b[/tex]
Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.
[tex]y=3x+(-15)\\y=3x-15[/tex]
I hope this helps!
The normal price of a computer game is £40
The price is reduced by 1/2 in a sale.
Work out the price of the computer game in the sale.
Answer:
The answer is £20
Step-by-step explanation:
Since the game is half-priced, we just have to divide the original price by 2.
£40/2 = £20
What is the greatest common factor of 48, 24, and 32?
Answer:
8
Step-by-step explanation:
Answer:
It is 2
Step-by-step explanation:
The greatest common factor is 2 because 2×16=32
also works for 24 because 2×24=48
then yes it works again for 2×12=24
division is also very helpful
HELP ASAP I WILL MARK BRAINLIEST
Answer:
It's the first one...!!!
find the product
(y + 9) (y-9)
Answer: it's y squared by 2-81
Step-by-step explanation:
Answer:
hope this is what u want
hope u find it useful
Write an equation to represent the situation: A starfish descends 2/3 of a meter each hour, h, until it has moved 6 total meters.
Answer:
6=2/3h
Step-by-step explanation:
Priya has a recipe for banana bread. She uses 7.5 cups of flour to make 3 loaves of banana bread. How much flour does Priya need to make 1 loaf of bread?
Answer:
It would take 2.5 cups of flour to make 1 loaf of bread.
Step-by-step explanation:
You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.
7.5/3 = 2.5
it would take 2.5 cups of flour to make 1 loaf of bread.
f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function
Answer:
Here, the given function,
Since, the leading coefficient is negative, and degree is odd,
Thus, the end behaviour of the function is,
Therefore, the graph rises to the left and falls to the right.
Now, when f(x) = 0
That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).
When x = 0,
That is, graph intersects the y-axis at ( 0, -3),
Also, for 0 > x > -1 , f(x) is decreasing,
For 2.55 > x > 0, f(x) is increasing,
For 3 > x > 2.55, f(x) is decreasing,
a
A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places.
28.73%
b. 39.68%
C. 40.32%
d. 45.97%
Answer:
c. 40.32%
Step-by-step explanation:
HELPPPPPPP MAAAAATHHHH GRADE 6
Answer:
Data 3 has the greater spread in 90 and 100 while Data 4 has a greater spread in 80
Step-by-step explanation:
Hope this Helped
Answer:
it is girl 3 higher speed
Step-by-step explanation:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
Which option gives the lowest unit price?
Answer:
29/12=2.41666667
..................=2.33333333
.......................=2.58
second
Step-by-step explanation: