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2 years ago

Quadrilateral is a rectangle with vertices D(–8, 2), E(2, 7), F(5, 1), and G(–5, –4). Find the area of the rectangle.

Mathematics

1 answer:

Katarina [22]2 years ago

8 0

The answer would be C

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What is the greatest common factor of 72x^2y and 18xy?

ELEN [110]

The GCF is the number or variables you can get out of a a term or multiple terms, when you get it out you have to be able to multiply it again and get the same terms as before for example the GCF of here is 18xy because both numbers can be divided in 18 and they both share 1 x and 1 y in common... Now divide to get your answer put the GCF outside the parenthesis and the numbers divided inside

18xy(4x + 1) if you do distributive property and multiply it you will get 72x2y+18xy see they match so the GCF of "18xy" is correct....

Hope this helped

5 0

2 years ago

Read 2 more answers

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

$114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)$

Applying the following property of exponentials numbers in (II):

$e^{a}.e^{b}=e^{a+b}$

Therefore $e^{-28k}$ can be written as $e^{-14k}.e^{-14k}$

$152=190-Ae^{-14k}.e^{14k}$

Replacing (I) in the previous equation:

$152=190-76e^{-14k}$

Solving for k:

Subtracting 190 both sides, dividing by -76:

$0.5=e^{-14k}$

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

$Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76$

Dividing by 0.5

A=152

7 0

2 years ago

The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles

Ksju [112]

9514 1404 393

Answer:

96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

V = LWH

V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

7 0

2 years ago

I need help, pls and thx

Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a}$

$x_2 = \frac{-b - \sqrt{\Delta}}{2a}$

In which:

$\Delta = b^2 - 4ac$

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

$\Delta = (-2)^2 - 4(5)(7) = 144$

$x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}$

$x_2 = \frac{2 - \sqrt{144}}{10} = -1$

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

7 0

1 year ago

for a field trip, a bus company charges a flat fee plus an additional fee per student. For 40 students, the total cost is $250.0

swat32

Okay so 6.25 a student then it goes to 4.50 for 15 more students at 70 students its 358.75 now it drops another 1.75 so it would be 368.75 for 80 students so the equation is 4.48 x 80 = 368.75. enjoy :D

3 0

2 years ago