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3 years ago

HELPPPPPPPPPP! It’s very important:/

Mathematics

1 answer:

kogti [31]3 years ago

4 0

Do 4 times $15 and 5 times $9. Add both of the answers together. That is the total cost.

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A rectangular rug is 24 feet long and 10 feet wide. A rhombus design is formed inside the rug by joining the midpoints of each s

Mice21 [21]

In all geometry problems, drawing a diagram is most helpful.

The half-side lengths are 5 feet and 12 feet.

By the Pythagorean Theorem, the hypothenuse, or side length of the rhombus is therefore

sqrt(5^2+12^2)=sqrt(169)=sqrt(13^2)

= 13 feet.

See diagram below.

6 0

3 years ago

Solve by graphing <br><br> u=v and 6u=2v-24

Vadim26 [7]

Answer:

$u=-6 \\ \\ v=-6$

Step-by-step explanation:

In this exercise, we have two equations, namely:

$u=v \ and \ 6u=2v-24$

And we are asked to solve this problem by graphing. In this way, we can write a system of linear equations in two variables, but first of all, let's rewrite:

$u=y \\ \\ v=x$

Then:

$\left\{ \begin{array}{c}y=x\\6y=2x-24\end{array}\right.$

So here we have two lines.

The first one is:

$\boxed{y=x}$

This line passes through the origin and has a slope $m=1$

The second one is:

$6y=2x-24 \\ \\ \therefore y=\frac{2x-24}{6} \\ \\ \therefore \boxed{y=\frac{1}{3}x-4}$

This line has a slope $m=\frac{1}{3}$ and cuts the y-axis at $b=-4$

By using graph tools, we get the graph shown below, then:

$x=-6 \\ \\ y=-6 \\ \\ \\ Since \ u=y \ and \ v=x, then: \\ \\ u=-6 \\ \\ v=-6$

8 0

3 years ago

Write the system of linear equations <br> Y=3x+1<br> Y=2x+3

Firlakuza [10]

Answer:

x = 2

y =7

Step-by-step explanation:

the system of linear equation will be solve using substitution method,

let

Y=3x+1.............................................. equation 1

Y=2x+3.............................................. equation 2

substitute equation 1 into equation 2

3x + 1 = 2x + 3

combine the like terms

3x+1 -2x = 3

x = 3 -1

x = 2

put the value of x=2 in either equation 1 or 2

Y=2x+3.............................................. equation 2

y = 2(2) + 3

y = 4 + 3

y = 7

7 0

3 years ago

Megan will multiply the first equation by 3 then add the result to the second equation.

Nesterboy [21]

The resulting equation will be x + y = 4 and 4y =20

<h3>System of equation</h3>

GIven the system of equation given as:

x + y = 4

-3x + y = 8

If Megan multiplies the first equation by 3 then add the result to the second equation, the resulting equation will be:

3x + 3y = 12

-3x + y = 8

Adding both equation

3y + y = 12 + 8

4y = 20

Hence the resulting equation will be x + y = 4 and 4y =20

Learn more on the system of equation here: brainly.com/question/13729904

3 0

2 years ago

Find the area of the trapezoid!!!! PLEASE HELP!!!!

san4es73 [151]

ANSWER

$32 \sqrt{3} {ft}^{2}$

EXPLANATION

The area of a tra-pezoid is half times sum of the bases times the vertical height.

From the diagram ( see attachment) we use the Pythagoras Theorem to obtain,

${x}^{2} + {(4 \sqrt{3}) }^{2} = {8}^{2}$

${x}^{2} + 48 = 64$

${x}^{2} = 64 - 48$

${x}^{2}=16$

$x = \sqrt{16} = 4ft$

This implies that , y=10-4=6ft

The area of tra-pezoid

$= \frac{1}{2} (10 + 6) \times 4 \sqrt{3}$

$= \frac{1}{2} (16) \times 4 \sqrt{3}$

$= 8\times 4 \sqrt{3}$

$= 32 \sqrt{3} {ft}^{2}$

6 0

4 years ago