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TEA [102]
3 years ago
13

A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

Nadya [2.5K]3 years ago
3 0
I don't recognize this problem, please make sure the input is complete
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The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceedin
nordsb [41]

Question :

The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?

The truck can hold more than 22 boxes.

The truck can hold more than 23 boxes.

The truck can hold up to 22 boxes.

The truck can hold up to 23 boxes.

Answer:

Option C: The truck can hold up to 22 boxes.

Explanation:

Given that the inequality is 10.45b + 56.50 < 292.67 is used to find the number of boxes can be loaded on a truck without exceeding the weight limit of the truck.

To determine the number of boxes, let us solve the inequality.

Thus, we have,

10.45b + 56.50 < 292.67

Subtracting both sides by 56.50, we get,

10.45b  < 236.17

Dividing both sides by 10.45, we have,

b

This means that the number of boxes that can be loaded on a truck without exceeding the weight limit of the truck should be lesser than 22.6

Therefore, the truck can hold up to 22 boxes.

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4 0
3 years ago
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Mrs. Jacobs is making several batches of cookies and is using 84 total ounces of chips. The cookies have chocolate chips and pea
WARRIOR [948]

The ounces of chocolate chips used by Mrs Jacob is 70 ounce

<em><u>Solution:</u></em>

Given that Jacob is making several batches of cookies and is using 84 total ounces of chips

Let "c" be the ounces of chocolate chips

Let "p" be the ounces of peanut butter chips

To find: ounces of chocolate chips used by Mrs Jacob

Given that There are 5 times as many ounces of chocolate chips as peanut butter chips

<em><u>Thus we can frame a equation as:</u></em>

ounces of chocolate chips = 5 x ounces of peanut butter chips

c = 5p -------- eqn 1

Jacob used 84 total ounces of chip. Therefore,

ounces of chocolate chips + ounces of peanut butter chips = 84

c + p = 84 ---- eqn 2

Substitute eqn 1 in eqn 2

5p + p = 84

6p = 84

<h3>p = 14</h3>

Substitute p = 14 in eqn 1

c = 5(14) = 70

<h3>c = 70</h3>

Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce

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3 years ago
Multiply:4x^3sqrt4x^2(2^3sqrt32x^2-x^3sqrt2x)
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Roman55 [17]

Answer:

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mojhsa [17]

Answer:

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Step-by-step explanation:

46 - [(9 + 15 ÷ 5) × 3]

~We can simplify everythingusing PEMDAS

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6 0
3 years ago
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