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3 years ago

How do u simplify 5x^2-8x-12 subracted from -4x^2+2x-8

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

- 9x² + 10x + 4

Step-by-step explanation:

Calculate the subtraction as

- 4x² + 2x - 8 - (5x² - 8x - 12 ) ← distribute parenthesis by - 1

= - 4x² + 2x - 8 - 5x² + 8x + 12 ← collect like terms

= - 9x² + 10x + 4

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Find the slope and y-intercept and tell me if its proportional or non-proportional.

weqwewe [10]

Answer:

Slope: 6

Y-intercept: 0

Proportional

Step-by-step explanation:

The equation for this table is y = 6x + 0 or just y = 6x.

y = 6x + 0

y-value slope (x-value) y-intercept

Proportional because it crosses (0,0) on the graph.

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3 years ago

You borrow $24,500 to buy a car. Your monthly payment on the 5-year loan is $496.77. What is your total finance charge?

svetlana [45]

60 payments of $496.77 add to 29,806.20, so the finance charges amount to
.. $29806.20 -24500.00 = $5,306.20

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3 years ago

Find the value of x in the picture below.

lilavasa [31]

Answer:

I think that the answer is 2.5 , the second item .

4 0

3 years ago

Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)

Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0

3 years ago

Find the distance betwen the folowing points.

sveticcg [70]

Answer:

a. 5

b. 5

c. 6√2

d. √34

e. 43 (appx.)

Step-by-step explanation:

The distance between two points on the coordinate plane having coordinate (x1, y1) and (x2, y2) is given by $\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}$ .... (1)

a. Hence, the distance between points A(2,3) and point B(6,6) is $\sqrt{(2-6)^{2}+(3-6)^{2}}=5$ units. {Using equation (1)}

b. Coordinates of A and B in the Cartesian coordinate plane are (2,3) and (6,6) respectively.

Hence, the distance between A and B is $\sqrt{(2-6)^{2}+(3-6)^{2}}=5$ units.

c. Coordinates of A and B in the Cartesian coordinate plane are (-1,5) and (5,11) respectively.

Hence, the distance between A and B is $\sqrt{(-1-5)^{2}+(5-11)^{2}}=6\sqrt{2}$ units.

d. Coordinates of A and B in the Cartesian coordinate plane are (1,-2) and (-2,3) respectively.

Hence, the distance between A and B is $\sqrt{(1+2)^{2}+(-2-3)^{2}}=(34)^{\frac{1}{2}}$ units.

e. Coordinates of A and B in the Cartesian coordinate plane are (12,-12) and (-23,13) respectively.

Hence, the distance between A and B is $\sqrt{(12+23)^{2}+(-12-13)^{2}}=43$ units. (Approximate) (Answer)

3 0

3 years ago