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2 years ago

Quickly answer number 10 text only no fonts (100 points) mark brainliest

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

5 0

There's no picture but soon as you add one so I can see what I'm answering then I will immediately help!

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Solve the system of linear equations by substituting. Check your solution

Ghella [55]

QUESTION 4

The given system of linear equations are,

$y = 5x - 7...(1)$

and

$- 3x - 2y = - 12...(2)$

We put equation (1) into equation (2) to obtain,

$- 3x - 2(5x - 7) = - 12$

We expand to get,

$- 3x - 10x + 14 = - 12$

Group like terms to get,

$- 3x - 10x = - 12 - 14$

Simplify to get,

$- 13x = - 26$

Divide both sides by -13 to get,

$x = 2$

Put the value of x into equation (1) to get,

$y = 5(2) - 7$

$y = 10 - 7 = 3$

The solution is

$x = 2 \: \: and \: \: = 3$

QUESTION 5

The given system of linear equations are

$-4x+y=6....(1)$
and

$-5x-y=21...(2)$

We make y the subject in equation (1) to get,

$y = 4x + 6....(3)$

Put equation (3) into equation (2) to get,

$- 5x - (4x + 6) = 21$

We expand to get,

$- 5x - 4x - 6 =21$

We group like terms to get,

$- 5x - 4x = 21 + 6$

This implies that,

$- 9x = 27$

We divide both sides by -9 to get,

$x = - 3$

Put the value of x in to equation 3 to get,

$y = 4( - 3) + 6$

$y = - 12 + 6 = - 6$

Therefore the solution is

$x = - 3 \: and \: y = - 6$

QUESTION 6

The given equations are,

$-7x-2y=-13...(1)$

and

$x-2y=-13...(2)$

Make x the subject in equation (2) to get,

$x = 2y - 13...(3)$

Put equation (3) into equation (1) to get,
$- 7(2y - 13) - 2y = - 13$

We expand to get,

$- 14y + 91 - 2y = - 13$

We group like terms to obtain,

$- 14y - 2y = - 13 - 91$

.Simplify to get,

$- 16y = - 104$

Divide through by -16 to get,

$y = \frac{13}{2}$

Put the value of y into equation (3) to get,

$x = 2( \frac{13}{2} ) - 13$

$x = 13 - 13 = 0$

Therefore

$x = 0 \: and \: y = \frac{13}{2}$

8 0

2 years ago

Use the circle to answer the questions

insens350 [35]

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

We're given:

The radius (5.4 cm)

1) Determine the diameter

$d=2r$

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

2) Determine the circumference of the circle

$C=\pi d$

Plug in the diameter 10.8

$C=10.8\pi$

Therefore, the circumference of the circle in terms of π is 10.8π cm.

3) Determine the approximate circumference of the circle

$C=10.8\pi\\C=10.8(3.14)\\C=33.91$

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!

5 0

3 years ago

WILL MARK THE FIRST BRAINLY ANSWER!

ehidna [41]

Answer:

A quadrant 1

Step-by-step explanation:

hope it helps

3 0

2 years ago

What's 0.7 multiplied by 9 Estimate Tell me estimation and answer in comments

kirill [66]

Estimate:6
Answer:6.3

8 0

3 years ago

Read 2 more answers

a dance team has 80 dancers.The ratio of seventh-grade dancers to all dancers is 5:16.Find the number of seventh-grade dancers o

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Each of the 16 "ratio units" representing all 80 dancers must stand for ...

(80 dancers)/(16) = 5 dancers

Then 5 "ratio units" representing seventh-grade dancers will stand for ...

5 × 5 dancers = 25 dancers

___

Another way to figure this is to write the proportion ...

(seventh-grade dancers)/(all dancers) = 5/16

seventh-grade dancers = (all dancers)×(5/16) = 80×5/16

seventh-grade dancers = 25

5 0

2 years ago