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3 years ago

What are the zeros of the function y = x^2 - 3x - 10

Mathematics

1 answer:

kramer3 years ago

5 0

$x^2 - 3x - 10=0\\ x^2+2x-5x-10=0\\ x(x+2)-5(x+2)=0\\ (x-5)(x+2)=0\\ x=5 \vee x=-2$

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A slide 4.1 meters long makes an angle of 35° with the ground. To the nearest tenth of a meter, how far above the ground is the

Artemon [7]

Hey there! I'm happy to help!

We want to figure out what x is. Let's use a trigonometric ratio of our 35 degree angle to find it.

We see that x is opposite of the 35 degree angle. We also see that our hypotenuse 4.1 m. The hypotenuse is always across from the right angle.

The trigonometric ratio that deals with opposite and hypotenuse is the sine, which is the opposite divided by the hypotenuse. This gives us the following equation.

$sin35=\frac{x}{4.1}$

We want to solve for x, so we simply multiply both sides 4.1

$x=4.1(sin35)$

If we evaluate this on our calculators, we get 2.351663389......

We round this to the nearest tenth, giving us 2.4 m.

Have a wonderful day! :D

6 0

3 years ago

Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?

zlopas [31]

Answer: 20.83

Step-by-step explanation: 44 - 11 2/3 - 11 1/2 = 20.83

Too Easy.

4 0

3 years ago

HELPP!!! Isn't one of the answers supposed to be 3?????

ikadub [295]

Step-by-step explanation:

well, it is supposed to be -3.

but you are right. something is wrong or missing here.

5x + 3 = 4x

x + 3 = 0

x = -3

maybe a "+ 1" is missing on the right side ?

5x + 3 = 4x + 1

gives us

x = -2

7 0

2 years ago

Read 2 more answers

What is the factor of this number 66

Leona [35]

11 and 6 ! Hope I could help!

6 0

4 years ago

Read 2 more answers

Stewart School has 178 computers. Grade 3 has 58 computers and flgrade 4 has 57 computers. What equations can be used to find ho

Ilya [14]

Answer: $x=58+57=115$

$y=178-115=63$

Step-by-step explanation:

Let x be the number of computers Grade 3 and grade 4 has and y be the numbers of computers the rest of school has.

Then, x= Grade 3 computers +Grade 4 computers.

$\Rightarrow\ x=58+57=115$

And y = Total computers - x

$\Rightarrow\ y=178-115=63$

Therefore, The equations can be used to find how many computers the rest of the school has.

$x=58+57=115$

$y=178-115=63$

7 0

4 years ago