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2 years ago

-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?

Mathematics

1 answer:

Maru [420]2 years ago

6 0

Answer:

Number of coefficients of x: 2 coefficients (-4 and 3)

Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)

Simplified: - x - 12

Step-by-step explanation:

1) Subtract the numbers.

-4x - 12 + 3x

2) Combine like terms.

- x - 12

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Which point is on the line that passes through point Z and is perpendicular to line AB?

tankabanditka [31]

Step 1

Find the slope of the line AB

we know that

the formula to find the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

we have

$A(-2,4)\\B(0,-4)$

substitute in the formula

$m=\frac{(-4-4)}{(0+2)}$

$m=\frac{(-8)}{(0+2)}$

$m1=-4$

Step 2

Find the slope of the line that passes through point Z and is perpendicular to line AB

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

$m1*m2=-1$

$m2=-\frac{1}{m1}$

we have

$m1=-4$

substitute

$m2=\frac{1}{4}$

Step 3

Find the equation of the line that passes through point Z and is perpendicular to line AB

we have

$Z(0,2)\\m2=\frac{1}{4}$

we know that

the equation of the line into point -slope form is equal to

$y-y1=m*(x-x1)$

substitute

$y-2=\frac{1}{4}*(x-0)$

$y=\frac{1}{4}x+2$

Verify which point is on the line that passes through point Z and is perpendicular to line AB

we know that

If a point is on the line, then the coordinates of the point must be satisfy the equation of the line

we are going to proceed to verify each point to determine the solution

Substitute the values of x and y of the point in the equation of the line. If the equation is true, then the point is on the line

Step 4

point $A(-4,1)$

$1=\frac{1}{4}*(-4)+2$

$1=1$ --------> the equation is true

therefore

the point $A(-4,1)$ is on the line

Step 5

point $B(1,-2)$

$-2=\frac{1}{4}*(1)+2$

$-2=\frac{9}{4}$ --------> the equation is not true

therefore

the point $B(1,-2)$ is not on the line

Step 6

point $C(2,0)$

$0=\frac{1}{4}*(2)+2$

$0=\frac{5}{2}$ --------> the equation is not true

therefore

the point $C(2,0)$ is not on the line

Step 7

point $D(4,4)$

$4=\frac{1}{4}*(4)+2$

$4=3$ --------> the equation is not true

therefore

the point $D(4,4)$ is not on the line

the answer is the option

$A(-4,1)$

4 0

4 years ago

Read 2 more answers

Please help if you can! I'll mark brainiest if you're right;; Thank you in advance :D

Stels [109]

Answer:

[83, 100]

Step-by-step explanation:

Lowest score to get a B is 80

Total 4 tests, to get at least a B : 80 x 4 = 320

Total 3 test scores = 81 + 62 + 94 = 237

So the fourth test to get at least a B: 320 -237 = 83

Answer [83, 100]

5 0

3 years ago

The length of a rectangular plot of land is 1Start Fraction 17 over 25 End Fraction times its width. If the width of the plot is

butalik [34]

B 7 yards hope this helps

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3 years ago

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What is the domain of the absolute value function below?

AlekseyPX

Answer:

option #4 (-oo, +oo)

Step-by-step explanation:

_______

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3 years ago

If Victoria earns $216.30 for working $6 hours in a day, how much does she earn per hour?

geniusboy [140]

Answer:

$36.05

Step-by-step explanation:

Do 216.30 then divide that by 6. With that you get 36.05; the amount she makes per hour.

5 0

3 years ago