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Stolb23 [73]
3 years ago
9

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio

n 5 Over 3 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2). Which equations also represent this line? Select three options. y = y equals negative StartFraction 5 Over 3 EndFraction x minus 2.x – 2 y = y equals negative StartFraction 5 Over 3 EndFraction x plus StartFraction 10 Over 3 EndFraction.x + 3y = –5x + 10 3x + 15y = 30 5x + 3y = 10
Mathematics
2 answers:
arsen [322]3 years ago
4 0

Answer:

5x+3y=10

Step-by-step explanation:

Natali5045456 [20]3 years ago
3 0

Answer:

y=-\frac{5}{3} x+\frac{10}{3}  or what is the same: 5x+3y=10

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}

Now we use this slope in the general form of the slope- y_intercept of a line:

y=-\frac{5}{3} x+b

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}

Therefore, the equation of the line in slope y_intercept form is:

y=-\frac{5}{3} x+\frac{10}{3}

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10

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The students in math class played a card game. Jarrods scores were 37 points ,58 points , -17 points and -9 points. The winner w
wariber [46]

Answer:  69

Step-by-step explanation:

First add all your positive numbers 37 + 58 = 95

Then add your negative numbers -17 + -9 = -26

Finally, subtract

95

-26

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69

The answer is positive because the positive number 95 was higher than the negative number -26.  

Hope this helps you!

5 0
3 years ago
Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl
lukranit [14]

Answer:

- Inverse Variation

- Equation: XY = 12

Step-by-step explanation:

Given

X-> 2 | 4 | 8 | 12

Y-> 6 | 3 | 3/2 | 1

Required

- State the type of variation the table represents

- Determine the equation to model the data

To check for type of variation; we'll make use of trial by error method.

To start with; We'll check for direct variation.

This is done using the following expression;

Y = kXwhere k is the constant of variation

Make k the subject of formula

k = \frac{Y}{X}

When Y = 6, X= 2

K = \frac{6}{2} = 3

When Y = 3, X = 4

K = \frac{3}{4}

There's no need to check further as both values of k are not equal

To check for inverse variation;

Y = \frac{k}{X}

Make k the subject of formula

k = YX

When Y = 6, X= 2

K = 6 * 2 = 12

When Y = 3, X = 4

K = 3 * 4 = 12

When Y = 3/2; X = 8

K = \frac{3}{2} * 8 = \frac{24}{2} = 12

When Y = 1, X = 12

K = !2 * 1 = 12

Note that for all values of X and Y, K remains constant;

Hence, the table represents an inverse direction

To determine the equation;

We make use of  k = YX

Substitute 12 for k

So, the equation becomes

12 = XY

Reorder

XY = 12

Hence, the equation is XY = 12

4 0
3 years ago
How to simplify this problem: (4c^4)^3
hjlf

Answer:

64c^12

Step-by-step explanation:

(4c^4)^3 distribute exponents

{(4)^3 (C^12)} simplify

64c^12

7 0
3 years ago
3x^2+42x+105=0 Find the solution<br><br>  <br>  <br> 0<br> 0
Nina [5.8K]

Step-by-step explanation:

I think we have to find the factors so

3x2 + 42x + 105

First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42

So 45 and 7

3x2 + 45x - 7x + 105

3x( x + 15) - 7(x - 15)

(3x - 7) and ( x - 15) are the factors

There is a problem please recheck the question

6 0
3 years ago
Christopher spends a total of $235.94. He purchases shoes for $80 as well as several sweaters. If each sweater was $25.99, how m
Xelga [282]

$235.94 - 80 = 155.94

155.94 ÷ 25.99 = 6

He bought 6 sweaters

6 0
3 years ago
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