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3 years ago

Find the slope of the line perpendicular for (-3,-2) and (3, 1)

Mathematics

1 answer:

bogdanovich [222]3 years ago

7 0

Answer: m = 1/2

Step-by-step explanation:

Use the slope formula to find the slope m

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a bookstore took in$ 167 on the sale of 5 copies of a new cookbook and 3 copies of a new novel the next day it took in $ 89 on t

PSYCHO15rus [73]

I am going to use C to represent cookbook and N to represent N. I find that easier to remember which is which.

Day 1: 5C + 3N = 167

Day 2: 3C + 1N = 89

We need to solve one of these equation for either the C or N. I always choose the easiest one! Day 2 looks like the one.

3C + 1N = 89 (I am doing to solve for N because we won't have a fraction)

1N=89-3C

N=89-3C

Now we take this solution for N and put it into our first equation.

5C + 3(89-3C) = 167 (We need to distribute)

5C + 267 - 9C = 167 (Use subtraction to move C values to the right and numbers to the left)

267-167 = 9C-5C

100 = 4C

25 = C $25 for the Cookbooks.

Now, we have to go back and solve for N by putting $25 in for C in the second equation.

N=89-3(25)

N=89-75

N=14 dollars for each novel.

Check by putting both back into the first equation:

5C + 3N = 167

5(25) + 3(14) = 167. It checks out!

3 0

3 years ago

Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down.

hodyreva [135]

Any point with coordinates (x, y) reflected across the y-axis is going to have the opposite x value that it did before.
You should be able to find the coordinates yourself for part a. (you didn't provide the original ones so I can't help you there)
Here is the "rule" for a reflection across the y-axis:
$(x,\ y)\rightarrow(-x,\ y)$
And when we go 1 unit to the right and 2 down, that's the same as
$(x,\ y)\rightarrow(x+1,\ y-2)$

Combining those into one rule is pretty simple, Use our result for the first in the second and we would get $(-x+1,\ y-2)$ , so the rule is
$\boxed{(x,\ y)\rightarrow(-x+1,\ y-2)$ .
Part A is asking for the coordinates after the reflection (x, y) ⇒ (-x, y).
Part C is asking for the coordinates after the full translation ⇒ (-x+1, y-2)

8 0

4 years ago

Define a variable and write an expression to represent the following phrase:

ryzh [129]

Answer:

x - 7 = age of whatever you are finding the age of

Step-by-step explanation:

seven years younger implies that you are taking away so we minus it from our variable, Tates age is the variable since it does not tell us his/her age in the statement given.

6 0

3 years ago

Which equations illustrate the associative property of addition? Choose exactly two answers that are correct.

sveticcg [70]

Solutions

Associative Property is a rule that refers to grouping. The rule is "a + (b + c) = (a + b) + c".

The correct answers are (A) and (D)

(A) = (11 + 2.2) + (–5) = 11 + [2.2 + (–5)]

(D) = –7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)

5 0

4 years ago

Use the following table to answer the question below.

Veseljchak [2.6K]

Answer:

it's 2015 I believe I hope I helped

3 0

3 years ago