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3 years ago

Which graph best represents the solution to the system of equations shown below?

Mathematics

2 answers:

siniylev [52]3 years ago

7 0

1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4

Alinara [238K]3 years ago

3 0

Answer:

Option 2

Step-by-step explanation:

The system of equations consists of equations

y = -4x + 19 --------(1)

y = 2x + 1 ---------(2)

Now equating both the equations for the values of y

-4x + 19 = 2x + 1

-2x - 4x + 19 = 1

-6x = 1 - 19

-6x = -18

x = $\frac{18}{6}$

x = 3

from equation (1) y = -4(3) + 19

= -12 + 19

= 7

Therefore, solution of the system of the equations is (3, 7)

This solution of the system of equation has been given in graph (2)

Therefore, Option (2) is the answer.

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2 years ago

What is the value of x in the figure below?

zhenek [66]

Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.

For instance: ADC, its hypotenuse is 15

For ABC, it is 20,

so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'

x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)

So:

20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4

Which is C

Not sure whether it's too late to help you though!!!!

Also notice that it's kind of a product rule:

x * 20 = 15 * 15

I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!

7 0

2 years ago

The rectangle below has an area of c^2-4x-12 square meters and a length of x+2 meters what expression represents the width of th

Korolek [52]

Answer:

Width = $\frac{c^2 - 4x - 12 }{x+2}$

Step-by-step explanation:

All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.

Area = length * width

We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.

(c^2 - 4x - 12) = (x + 2) * w

(c^2 - 4x - 12) = w(x +2)

Divide both sides by (x+2) so w can stand alone.

$\frac{c^2 - 4x - 12}{x+2} = \frac{w(x+2)}{x+2}$

w = $\frac{c^2 - 4x - 12 }{x+2}$

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2 years ago

PLEASE HELP ASAP WILL GIVE BRAINLEIST

OleMash [197]

Angle Q and angle S equal 61

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2 years ago

Consider the equations 4(x-3)=16 and 4x-3=16 do they have the same solution? Why or why not ?

Sladkaya [172]

Answer: Both the equations when solved have different answers, the solutions for both the equation are given below. In the the first equation 4 (x-3)=16 , 4 is multiplied with both the terms in the bracket. Whereas, in the second equation 4x- 2 = 16 there is no variable to multiply with the LHS equation

Solution:

4 (x-3)=16

4x - 12 = 16

4x = 16 + 12

4x = 28

x = 7

4x - 3 = 16

4x = 16 + 3

4x = 19

x = 19/4

x = 4.75

4 0

2 years ago