MATHEMATICS HIGH SCHOOL

What is the sum of the polynomials?(8x²-9x²-4x)+(x²-3y²-7x)A. 7x²-6y²+3x
B. 9x²-6y²+3x
C. 9x²-12y²+3x
D. 9x²-12y²-11x

Answers

Answer 1

Answer:

Answer:

$\sf D. 9x^2-12y^2-11x$

Step-by-step explanation:

$\sf (8x^2-9y^2-4x)+(x^2-3y^2-7x)$

Distribute the negative sign in the first set of parentheses:

$\sf 8x^2 - 9y^2 - 4x + x^2- 3y^2 - 7x$

Combine the terms that are alike:

$\sf 8x^2 +x^2-9y^2-3y^2-4x -7x$

$\sf 9x^2-12y^2-11x$

Therefore, the sum of the polynomials is:

$\sf D. 9x^2-12y^2-11x$

Answer 2

Answer: U can begin by simplifying the terms within each set of parentheses first and then combining like terms.

(8x² - 9x² - 4x) + (x² - 3y² - 7x)

= (-x² - 4x) + (x² - 3y² - 7x)

= -x² + x² - 4x - 7x - 3y²

= -11x - 3y²

Therefore, the sum of the polynomials is -11x - 3y², which is option D.

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One angle of an isosceles trapezoid has measure 57. What are the measures of the other angles?

Answers

$\alpha =57^o\n \n The \ interior \ angle \ at \ the \ shortest \ base \ is \ equal \ to :\n \n \beta = 180^o - 57^o = 123^o$

In an isosceles trapezoid the two adj angles are equal
& the two opposite angles are equal & the
sum of the interior angles =360
so 57 + 57 = 114
360-114 = 246
the other angles are 246/2 = 123
the measure of the other angles are 57,123 & 123

Idk why but I need an image answer for this...
8.25
x6.75

Answers

Answer: 55.6875

Step-by-step explanation:

Answer:

8.25

x6.75

Step-by-step explanation:

55.6875

You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the ground. How tall is your house?

Answers

A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall

Sixteen is fourteen less than the product of a number and five. What is the number?

Answers

16=5x-14
+14 +14
30=5x
/5 /5
6=x
X=6

5*?=?-14=16
5*6=30
30-14=16

Jerome takes a math course and a science course for summer school. For every 5 hours Jerome spends studying math, he studies science for 4 hours. If Jerome spent a total of 54 hours studying last week, then how long did he study math?