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antiseptic1488 [7]
3 years ago
13

Triangle ABC is an equilateral triangle with side lengths of 10 inches.

Mathematics
2 answers:
nikklg [1K]3 years ago
7 0
The height of an equilateral triangle is found by the formula:
height = (sq root (3) / 2 ) * side length
height = ( <span> <span> <span> 1.7320508076  </span> </span> </span> / 2) * 10
height = (  <span> </span> <span> <span> <span> 0.8660254038 </span> </span> </span> ) * 10
height = <span>8.660254038 inches     


</span>
azamat3 years ago
6 0
(sq root (3) / 2 ) * 10 ( <span>1.7320508076  </span>/ 2) * 10 (  <span>0.8660254038 </span>) * 10
height = <span>8.660254038 inches      
</span>
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Pls help with #14 and #15!!!Asap 15 points
inna [77]

Answer:

14. -g + 10, 15. 12k + 3

Step-by-step explanation:

I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.

8 0
3 years ago
5x-2y=30 complete the missing value in the solution to the question (8, )
natali 33 [55]

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

4 0
3 years ago
Read 2 more answers
If (a, -5) is a solution to the equation 3a = -2B - 7, what is a?
Andrew [12]
I think what you need to do is make B = -5
3a = -2(-5) - 7
3a = 10 - 7
3a = 3
a = 1
3 0
3 years ago
What are the vertex focus and directrix of a parabola with equation x=y^2+14y-2
zimovet [89]
This is a sideways opening parabola, opening to the right to be more specific, since the leading coefficient is a positive 1.  The rule for a focus and a directrix is that they are the same number of units from the vertex (in other words, the vertex is dead center between them), and that the vertex is on the same axis that the focus is.  We need to find the vertex then to determine what the focus and the directrix are.  We will complete the square on that to find the vertex.  Begin by setting it equal to 0, then move the 2 over by addition to get y^2+14y=2.  Now we will complete the square on the y terms.  Take half the linear term, square it, and add it to both sides.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49. So we add 49 to both sides. y^2+14y+49=2+49, which of course simplifies to y^2+14y+49=51.  The purpose of this is to find the k coodinate of the vertex which will be revealed when we write the perfect square binomial we created during this process: (y+7)^2=51.  Moving the 51 back over by subtraction gives us (y+7)^2-51=x.  The vertex then is (-51,-7).  The formula to find the focus using this vertex is (h+ \frac{1}{4a},k).  As I stated quite a while ago, the leading coefficient on our parabola was a +1 so our "a" value is 1, and the focus is then found in (-51+ \frac{1}{4},-7) which simplifies to (-50.75, -7).  If the vertex is (-51, -7) and the focus is (-50.75, -7), then the distance between them is 1/4, or .25.  That means that the directrix is also .25 units from the vertex, but in the other direction.  Our directrix is a vertical line, and it will have the equaion x = -51.25.  Summing up, your focus is (-50.75, -7) and your directrix is x = -51.25
7 0
3 years ago
Can you please help me
kirill [66]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
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