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ser-zykov [4K]
3 years ago
10

the sum of −2x2 + x + 31 and 3x2 + 7x − 8 can be written in the form ax2 + bx + c, where a, b, and c are constants. What is the

value of a + b + c ?
Mathematics
1 answer:
just olya [345]3 years ago
8 0

Answer:

Part 1) a=1,b=8,c=23

part 2) a+b+c=32

Step-by-step explanation:

we have

(-2x^{2} +x+31)+(3x^{2}+7x-8)

Adds the terms

Group terms that contain the same variable

(-2x^{2}+3x^{2})+(x+7x)+(31-8)

Combine like terms

(x^{2})+(8x)+(23)

where

a=1,b=8,c=23

therefore

a+b+c=1+8+23=32

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Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the
Sunny_sXe [5.5K]

Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z =  l × cos(θ₂)

∴  z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

6 0
3 years ago
Is math real? I feel like it doesn't exist.
Dafna11 [192]

Answer:

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7 0
3 years ago
For what values of x does the value of the fraction (3-x)/8 belong to the interval (−2; 5]?
Tamiku [17]

Answer:

-37\leq x\:

Step-by-step explanation:

To find the values of x for which, the value of \frac{3-x}{8} belongs to (-2,5],we solve the inequality;

-2\:

We multiply through by 8 to obtain;

-16\:

We subtract 3 to get

-19\:

Divide through by -1 to obtain;

19\:>x\ge-37

Or

-37\leq x\:

7 0
3 years ago
Does anyone know what equation can be used to find x
statuscvo [17]

8-2 = 6 per plate profit

6x

 they spent 150 so it would be -150

6x - 150 = 2400

3 0
3 years ago
What does SOH,CAH,TOA mean?​
Mice21 [21]

Answer:

Use Sin if Opposite Hypotenuse, Use Cosine if Adjacent Hypotenuse, and Use Tangent if Opposite Adjacent

7 0
3 years ago
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