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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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Nigel travels a total of 312 miles to school each day. He walks 14 mile to the bus stop. He travels 234 miles on the city bus. I
Valentin [98]
The bus drops Nigel off 64 miles away from the school.

Step by step Explanation:

An equation for this would be 312-14-234 (this was the equation I used. Since you would do left to write to solve the equation, you would do, 312-14 which equals 298. Then, the equation is left as 298-234, and when you solve that part to the equation, yoh would be getting 64. And that's how you would get the answer 64miles away from the school.
7 0
3 years ago
9 + 10 = 21 PLSSSSSSSSSSSSS
stellarik [79]

Answer:

9 + 10 +x= 21

x=21-19

x=2

add 2 in left hand side to get 21

6 0
3 years ago
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Can someone solve -5x +2y=10
marta [7]

Answer:

x=\frac{2}{5}y-2

Step-by-step explanation:

-5x+2y=10\\-5x+2y-2y=10-2y\\-5x=2y-10\\\frac{-5x}{-5}=\frac{2y-10}{5}\\ x=\frac{2}{5}y-2

6 0
3 years ago
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82.8 cm measured to the nearest tenth of a cm <br><br> what's the answer<br><br> ;-)
patriot [66]

Answer:

I think it 8.0 cm

7 0
3 years ago
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Determine the equation of the line that is perpendicular to the line y = 3x + 4 and passes through the point (6, 2).
fomenos

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines: Their gradients are reciprocals.

This means:

  • -1 ÷ Gradient 1 = Gradient 2
  • Gradient 1 * Gradient 2 = -1

Gradient of the given equation is 3.

-1 / 3 = -1/3

Gradient of the equation we're finding is -1/3

y = -1/3x + c

Substitute the coordinates in to find the value of c

2 = -1/3(6) + c

2 = -2 + c

2 + 2 = c

4 = c

y = -1/3x + 4

3 0
3 years ago
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