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3 years ago

HELP ME OUT !!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

elena-s [515]3 years ago

5 0

Answer:

y = -3x + 1 is the equation

Leona [35]3 years ago

3 0

Answer:

y = -3x + 1

Step-by-step explanation:

Start by picking any two points on the line.

(-1, 4) and (1, -2)

Now, use the slope formula to find the slope.

m = y^2 - y^1 / x^2 - x^1

m = -2 - 4 / 1 - (-1)

m = -6 / 1 + 1

m = -6/2

m = -3

So, our slope is -3.

Let's find the y-intercept now using the slope-line equation:

y = mx + b

4 = -3(-1) + b

4 = 3 + b

-3 -3

---------------------

1 = b

Lastly, let's put our findings into the slope-line equation:

y = mx + b

slope is -3 and y-intercept is 1

y = -3x + 1

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Graded Assignment

san4es73 [151]

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

8 0

3 years ago

A pie company arranges its three-flavor cheesecake sampler into equal-sized slices as shown, where S represents strawberry, C re

Citrus2011 [14]

Answer:

$37.68$ square inches

Step-by-step explanation:

Given:

A pie company arranges its three-flavor cheesecake sampler into equal-sized slices: S represents strawberry, C represents chocolate, and P represents plain.

Diameter of the pie = 12 inches

To find: total area of the strawberry portion in the pie

Solution:

Diameter of the pie = 12 inches

Radius of the pie (r) = Diameter / 2 = $\frac{12}{2}=6$ inches

Area of the pie = $\pi r^2=3.14(6)^2=113.04$ square inches

Ratio of the strawberry portion in the pie = $\frac{2}{6}=\frac{1}{3}$

Therefore,

total area of the strawberry portion in the pie = $\frac{1}{3}(113.04)=37.68$ square inches

6 0

3 years ago

Two consecutive odd integers have a product of 99. Find all sets of integers that

german

Answer:

9 and 11

Step-by-step explanation:

4 0

3 years ago

g Let P be the plane that goes through the points A(1, 3, 2), B(2, 3, 0), and C(0, 5, 3). Let ` be the line through the point Q(

Sedbober [7]

Answer:

(x, y, z) = (1, 1/3, 3 1/3)

Step-by-step explanation:

The normal to plane ABC can be found as the cross product ...

AB×BC = (1, 0, 2)×(2, -2, -3) = (4, 1, 2)

Then the equation of the plane is ...

4x +y +2z = 4·0 +5 +2·3 . . . . using point C to find the constant

4x +y +2z = 11

The direction vector of the reference line is the vector of coefficients of t: (0, -1, 2). Then the line through point Q is ...

(x, y, z) = (1, 2, 0) +t(0, -1, 2) = (1, 2-t, 2t)

The value of t that puts a point on this line in plane ABC can be found by substituting these values for x, y, and z in the plane's equation.

4(1) +(2 -t) +2(2t) = 11

Solving for t gives ...

t = 5/3

so the point of intersection of the plane and the line is

(x, y, z) = (1, 2-t, 2t) = (1, 2-5/3, 2·5/3) = (1, 1/3, 3 1/3)

5 0

3 years ago

Work out the equation y=2x+7

lina2011 [118]

Y=2x+7 is already in its simplest form. It can be used to graph.

8 0

3 years ago