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notsponge [240]
3 years ago
13

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation? u = (x + 5) u = (x – 5) u = (x

+ 5)2 u = (x – 5)2
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
6(x+5)² + 5(x+5)-4 = 0

(x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25

6(x²+10x+25) + 5(x+5) - 4 = 0
6x² + 60x + 150 + 5x + 25 - 4 = 0
6x² + 60x + 5x + 150 + 25 - 4 = 0
6x² + 65x + 171 = 0

<span>u = (x + 5)</span>
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Write an equation in slope intercept form for the line that goes through the point (-2,-5) and (3,5)
Orlov [11]

Answer:

Slope intercept form is y=mx+b

Let’s first find the slope, which is y2-y1/x2-x1

Let’s make the point (-2,-5) our x1 and y1 and let’s make the point (3,5) our x2 and y2.

5+5/3+2

10/5

2 = slope

So far, our equation is looking like this:

y=2x + b

To find the y-intercept (b), let’s plug in one of the points.

Let’s use the point (3,5)

(5)=2(3) + b

5=6 + b

What adds to 6 to equal 5? -1

So, our y-intercept is going to be -1

Finally, our equation is going to look like this:

y=2x-1

Hope I helped!

5 0
3 years ago
-8(8v + 1) - 2 = -394
Bess [88]

Answer:

v = 6

Step-by-step explanation:

Solve for v:

-8 (8 v + 1) - 2 = -394

-8 (8 v + 1) = -64 v - 8:

-64 v - 8 - 2 = -394

Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):

-64 v + (-8 - 2) = -394

-8 - 2 = -10:

-10 - 64 v = -394

Add 10 to both sides:

(10 - 10) - 64 v = 10 - 394

10 - 10 = 0:

-64 v = 10 - 394

10 - 394 = -384:

-64 v = -384

Divide both sides of -64 v = -384 by -64:

(-64 v)/(-64) = (-384)/(-64)

(-64)/(-64) = 1:

v = (-384)/(-64)

The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:

Answer:  v = 6

3 0
3 years ago
Read 2 more answers
What is the best next step in the construction of the perpendicular bisector of AB?
Vladimir79 [104]

Answer:

This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. It finds the midpoint of the given line segment.

6 0
3 years ago
Can someone help me out please.
KATRIN_1 [288]

Step-by-step explanation:

You need to reflect the shape along the line

5 0
2 years ago
In ABC, what is the value of x<br><br> 5.5<br> 6.5<br> 55<br> 65
vekshin1

<em>Answer:</em>

( B ) x = 6.5

<em>Step-by-step explanation:</em>

We know that all the angles of a triangle equal 180 when added together. So lets make an equation for this question.

(10x-10) + (10x+8) + 8x = 180

I just took all the angles and added them together to make 180. Now solve for x.

10x - 10 + 10x + 8 + 8x = 180 <em>(combined like terms)</em>

28x -2 = 180 <em>(added 2 to both sides)</em>

28x = 182 <em>(divided both sides by 28)</em>

x = 6.5

6 0
3 years ago
Read 2 more answers
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