MATHEMATICS HIGH SCHOOL

PLEASE ANSWER + BRAINLIEST!!Factor completely.

x^2 - x - 30 =

2m^2 - 2m - 60 =

Answers

Answer 1
Answer: Looking at x^2 - x - 30, we see that 5*6=30, so we can immediately conclude that x^2 - x - 30 = (x+5)(x-6).  check this by multiplication.

2m^2 - 2m - 60 can be reduced to 2(m^2 - m - 30), which in turn can be factored as    2(m+5)(m-6).  The trick here is to notice how easily "2" can be factored out of the given equation.

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Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?(See picture attached below) Answer Choices: A. x2 + 15x − 2 = 0 B. x2 + 15x + 58 = 0 C. 4x2 + 30x − 2 = 0 D. 4x2 + 30x + 58 = 0
How many solutions are there to the following system of equations?4x – 14y = 6–2x + 7y = –3A.1B.2C.infinitely manyD.0
HELP! 10 POINTS!! :((
What doubles fact can help you solve 6+5=11?
Describe how to estimate a non-perfect square root to the hundredths place without using a calculator.

Each month Allison gets a $15 allowance and earns $100 working at the theater. She uses the expression 15x+100y to keep track of her earnings Part A Part B Part C

Answers

Step-by-step explanation:

The expression for he earning of Allison and her allowance is as follows :

15x+100y

Part A

Variables are x and y. Coefficients are 15 and 100.

Part (B)

There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.

Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.

To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meters more than the distance she walked north. If Sindy were able to walk directly from the post office to the library in a straight line, she would have walked 150 meters. Suppose x represents the distance Sindy walked north. Which equation can be used to find x?x^2 (x 20)^2=150^2
202=x^2-150^2
x (x 20)=150
x^2 (x 150)^2=20^2

Answers

Answer:

x² + (x + 20)² = 150²

Step-by-step explanation:

Sindy walked x meters in north and then x+20 meters toward east. If Sindy were able to walk directly from the post office to the library directly in a straight line, the distance she would have walked 150 meters.

Thus Sindy forms a right angle triangle as in the figure attached.

From Pythagoras theorem

x² + (x + 20)² = 150²

This is the equation we can use to find x.

Technically, none of the equations.

The equation you're looking for would be:

x²+(x+20)²=150²

How can x + 8 = -x + 7 be set up as a system of equations? y = x + 8
y = -x + 7
y = x + 8
y = -3x + 7
y = x + 5
y = -2x + 11
y = 8
y = -3x + 7

Answers

The first answer choice is correct

separate x + 8 and -x + 7 and set them both to equal y

y = x + 8 ; y = -x + 7

Answer:

The answer is y = x + 8

                       y = -x + 7

Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29,  2 /√29 >  ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let  

u = < x , y > ∈/R^2  be perpendicular to  v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

∧

u   = < 5 /2 y * 2 / y√29 ,  y*2 / y√29 >

    = < 5/√29,  2 /√29 >  ( unit vector perpendicular to < -2, 5 > )

for a given right triangle , side a =490 feet and side b =960 feet what is the measure of angle B to the nearest degree ?

Answers

Hello,
2 possibilities:

1)
b is the hypotenuse and than B=90°

2)
or tan B=960/490=1.9591...
==>B=62.9594...°≈63°

5. Find the square rots of 4i.

Answers

Answer:

√(4i)=2√(i)

Step-by-step explanation:

4i=4√(-1)

Applying square root

√(4i)

=\sqrt{4√(-1)}

=2\sqrt{√(-1)}

=2* -1^{(1)/(4)}

Now,

i=√(-1)\n\Rightarrow i=-1^{(1)/(2)}

\n\Rightarrow 2* -1^{(1)/(4)}=2* i^{(1)/(2)}=2√(i)

So, √(4i)=2√(i)
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PLZ HELP ASAP WILL MARK BRAINIEST(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3solve for x!!