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3 years ago

What is the y-intercept of this line: y=5-7x

Mathematics

2 answers:

Damm [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Rewrite the equation as y=-7x+5.

y=mx+b is slope-intercept form with mx representing slope and b representing the y-intercept.

Daniel [21]3 years ago

4 0

Answer:

Explanation: y-intercepts are just numbers that don't have any variables and they can be found on the y axis.

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Determine the value of c that will result in a perfect square trinomial. <br> w^2+6w+ c =130+c

Genrish500 [490]

Answer:

The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

Step-by-step explanation:

We need to determine the value of c that will result in a perfect square trinomial.

$w^2+6w+ c =130+c$

Perfect square trinomial are of form: $a^2+2ab+b^2=(a+b)^2$

Now, the equation given is:

$w^2+6w+ c =130+c$

Looking at the term 6w, we can write it as 2(w)(3)

We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2

So, we will be adding (3)^2 on both sides

$w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139$

So, The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

3 0

3 years ago

Someone, please help me fill this out

nadezda [96]

Answer:

Here is the summary:

y = 13x+5 satisfies the points (0, 5) and (-2, -21)

y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)

y = x-10 satisfies the points (8, -2)

Step-by-step explanation:

Given the equation

y = 13x+5

y = -3x

y = x-10

The points which satisfy the equation y=13x+5

y = 13x+5

Checking the point (0, 5)

5 = 13(0)+5

5 = 0 + 5

5 = 5

TRUE

Checking the point (-2, -21)

-21 = 13(-2)+5

-21 = -26 + 5

-21 = -21

TRUE

The points which satisfy the equation y=-3x

y = -3x

Checking the point (0, 0)

0 = -3(0)

0 = 0

TRUE

Checking the point (-5, -15)

y = -3x

-15 = -3(-5)

-15 = -15

TRUE

Checking the point (-3, 9)

y = -3x

9 = -3(-3)

9 = 9

TRUE

The points which satisfy the equation y=x-10

y = x-10

Checking (8, -2)

-2 = 8 - 10

-2 = -2

TRUE

Therefore, from the above calculations we conclude the summary:

Here is the summary:

y = 13x+5 satisfies the points (0, 5) and (-2, -21)

y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)

y = x-10 satisfies the points (8, -2)

7 0

3 years ago

Solve the simultaneous equations<br> y = 2x^2<br> y = 3x + 14

Mekhanik [1.2K]

Answer:

x = -2

And, x = 7 ÷ 2

Step-by-step explanation:

Given that

y = 2x^2

y = 3x + 14

Now equate these two above equations

2x^2 = 3x + 14

2x^2 - 3x - 14

2x^2 -7x + 4x - 14

x(2x - 7) + 2(2x - 7)

(x + 2) (2x - 7)

So it can be x = -2

And, x = 7 ÷ 2

3 0

3 years ago

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles

Alexxx [7]

What is the area of the triangular base?
8 square feet

What is the length of edge DF?
4 feet

3 0

3 years ago

Read 2 more answers

What is the sum of the infinite geometric series 1 - 1/2 + 1/4 - 1/8 + 1/16

mina [271]

Answer: The answer is 11/16

Step-by-step explanation:

PEMDAS theres only addition and subtraction so we figure out this equation left to right.

1-1/2=1/2

1/2+1/4=3/4

3/4-1/8=5/8

5/8+1/16=11/16

6 0

3 years ago