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ohaa [14]
3 years ago
10

What are the x-intercept of the quadratic function y- x^2 +2x - 35?a. -1b. 7 and -5c. -7 and 5d. -32 and 2

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0
<span>y = x^2 +2x - 35</span>
x-intercept y=0
0 = <span>x^2 +2x - 35
</span>0 = <span>x^2 -5x + 7x - 35  //factoring with leading coefficient
</span>0 = x(x-5) + 7(x-5)
0 = (x+7)(x-5)
x=-7 or x=5
answer: C. -7 and 5

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What are the ratios for sin A and cos A? The triangle is not drawn to scale.
dalvyx [7]

Answer:

SinA = \frac{84}{85}  and  CosA=\frac{13}{85}

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

Sin A = \frac{Opposite}{Hypotenuse} , and

CosA = \frac{Adjacent}{Hypotenuse}

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}

CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}

The correct answer is  the first answer choice.

7 0
3 years ago
True or false? The quadratic equation 10p2 - 5p = -8 has one solution.
pav-90 [236]

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

  • a = 10
  • b = -5
  • c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

6 0
2 years ago
Evaluate.
snow_lady [41]

Replace a and b with their given values:

(2(3/5) -1/3) / -6.75/15

2 x 3/5 = 6/5

6/5 - 1/3 = 18/15 - 5/15 = 13/15

13/15 / -6.75/15 = 13/15 x 15/-6.75  = (13 x 15) / (15 x -6.75) = 195/-101.25  = -1 25/27

Answer: -1 and 25/27

8 0
2 years ago
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