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Dvinal [7]
3 years ago
6

Identify the equation in slope-intercept form for the line with the given slope that contains the given point.

Mathematics
1 answer:
andre [41]3 years ago
4 0
Y=3/4x+1/2

Use the equation y=mx+b and plug in the coordinates and the slope into the equation.

2=3/4(2)+b

You need to find the b (y-intercept).

2=3/2+b
1/2=b

Now that you know the slope and the y-intercept the equation is y=3/4x+1/2
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Find the volume of the rectangular pyramid ​
Lostsunrise [7]

Answer:

Volume = 112

Step-by-step explanation:

formula: V = (1/3) × L × W × h,

formula: V = ( \frac{1}{3} ) × L × W × h, \\  =  \frac{1}{3}  \times 8 \times 7 \times 6 \\ divide \:  both \: 3 \: and \: 6 \\  = 1 \times 8 \times 7 \times 2 \\  = 56 \times 2 \\  = 112

3 0
3 years ago
Find the value of x and y.
Ber [7]

Answer:

x = 70, y = 90

Step-by-step explanation:

A straight line is equal to 180 degrees, so if 180 is split between 110 and x. Subtract the 110 to get the rest. 180-110 = 70.

All sides in a quadrilateral add up to 360 degrees, add all of the remaining angles (112+88+70) to get 270. 360-270 = 90 degrees. Y is 90 degrees.

7 0
3 years ago
Read 2 more answers
Find the value of y.
snow_tiger [21]

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
  3. the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

__

The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

4 0
3 years ago
g If every pair of people in a group are friends, or if every pair are strangers, the group is called uniform. Show the above re
Gennadij [26K]

Answer:

Every group of 6 people has at least two uniform 3-person groups.

Step-by-step explanation:

Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.

There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.

If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.

8 0
3 years ago
What is the ratio as a fraction in lowest term for $300 to $450 ?
Advocard [28]
Just divide 300 by 450, to get 0.66667, which can be expressed as a fraction by 2/3
5 0
3 years ago
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