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vlabodo [156]
3 years ago
12

How to write slope-intercept form through (-1,3) and a slope of -1

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m = -1 and the point (-1, 3). Substitute:

3=(-1)(-1)+b

3=1+b      <em>subtract 1 from both sides</em>

2=b\to b=2

<h3>Answer: y = -x + 2</h3>
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A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Ainat [17]

Answer:

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

V = \frac{1}{3} \pi r^2h             ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use \pi = 3.14 in [1] we have;

105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h

Multiply both sides by 3 we have;

⇒315 = 78.5 \cdot h

Divide both sides by 78.5 we have;

4.01273885 = h

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

6 0
4 years ago
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What is the exact circumference of the circle?
Delicious77 [7]

For this case, we have that by definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: Is the diameter of the circle given by 2r, that is, twice the radius.

If we have a circle with a diameter equal to 8cm, then the circumference is given by:

C = \pi * 8 \ cm

ANswer:

Option C

8 \pi \ cm

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3 years ago
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How do i solve the system of equations by graphing?<br>2x+y=7 <br>x-2y=6
scoray [572]

Answer:


Step-by-step explanation:

1. y = -2x + 7

2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)

3. -2y = -x + 6

4. divide entire equation by 2 to isolate y

5. -y = -x + 3

6. multiply entire equation by -1 to make it positive

7. y=x+3

8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)

9. Where the lines intersect is your answer

8 0
3 years ago
Can someone Please help me ???<br> If you can help me ill give you 20 points and brainliest :)
Phoenix [80]

First, classify each line segments of triangle that are the same in both triangles.

RS = XU

RT = XW

ST = WU

Second, divide to find the scale ratio.

7.5/3 = 2.5

16/6.4 = 2.5

15/6 = 2.5

Since the scale ratios are identical, the triangles are similar.

Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]

Best of Luck!

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What does prime mean?
dlinn [17]

Answer:

Prime numbers are whole numbers that are greater than 1 which only have factors of 1 and itself.

The area of the triangle is 1358 square feet

Step-by-step explanation:

Area = 1/2 (base * height)

Area = 1/2 (56 * 48.5)

Area = 1/2 (2716)

Area = 1358

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