Answer:
y=-1/3x-17/3
Step-by-step explanation:
I assume you mean <em>perpendicular</em><em> </em>to x=-3.
In that case, we would flip and take the negative. A perpendicular slope would be x=-1/3
Now we plug the point (4,-7) into the equation
y=mx+b
y=-1/3x+b
-7=-1/3*4+b
-7=-4/3+b
b= -17/3
The whole equation would be:
y=-1/3x-17/3
<em>I hope this helps! :)</em>
9x + 27
-2y + 20
4x - 24
30x + 12xy
15x + 2 (?)
~ I’m not sure abt the last one! I’m sorry if they’re incorrect and I hoped this helps! ~
Hey there! :)
Answer:
C. BC = 39 units.
Step-by-step explanation:
Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.
c² = a² + b²
c² = 15² + 36²
Square and simplify:
c² = 225 + 1296
c² = 1521
c = √1521
c = 39 units.
Therefore:
BC = 39 units.
The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
<h3>Sequence and Series </h3>
From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: brainly.com/question/10321751
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The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
- Proportion of the paint that is 30 % gloss. 
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that 
, 
and 
, then the proportion of the paint that is 30 % gloss is:
And the quantity of gallons needed of each paint are:
Paint (30 % gloss)
Paint (15 % gloss)
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478
