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3 years ago

Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16 is the required equation.

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

Luden [163]

We are given this function:
$y=8700* (1.04)^{4}$

8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.
$1.04^{4} = 1,16985856$
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%

6 0

3 years ago

Read 2 more answers

The 64-ounce carton of orange juice costs $4.69. Find the unit price per ounce to the nearest tenth of a cent.

MrRa [10]

Answer:

13¢ per ounce

Step-by-step explanation:

just divide 64/4.69

8 0

3 years ago

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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.

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3 years ago

Need help with my practice for a test please give awnser and show your work so i know how to do :)

docker41 [41]

Answer:

Step-by-step explanation:

2 * 2 = 4u² (area of the central square)

2 * 2 : 2 = 2u² (area of one congruent triangle)

4 + 2 + 2 = 8u²

(u = units)

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2 years ago

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Reva is playing a bean-bag toss game. For each bag that misses the board, the player scores 8 points. Reva misses the board 4 ti

chubhunter [2.5K]

Answer:

a. -32

Step-by-step explanation:

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3 years ago