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JulsSmile [24]
2 years ago
14

The triangular faces of the peaks on a roof are congruent isosceles triangles with vertex angles U and V.

Mathematics
1 answer:
Rina8888 [55]2 years ago
3 0

Answer:

<em> (a). ∠UXV, ∠XVY ; (b). UV = 8 m .</em>

Step-by-step explanation:

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Write v = 2x2 + 12x +1 in vertex form.
Savatey [412]

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)²  + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

  = 2(x + 3)² - 18 + 1

  = 2(x + 3)² - 17 → C

6 0
3 years ago
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What is the slope of a line that contains the two points (0, 3) and (4, 5)?
Anika [276]

The formula for slope is (y2 -- y1) / (x2 -- x1).

(0,3) (4,5)

5 - 4 = 1

3 - 0 = 3

So the slope is 1/3.

Hope this Helps!!


5 0
2 years ago
Three-fourths of the people at a concert are children. If there are 87 children, what is the total number of people at the conce
babymother [125]

Hello!

Let's write this as an equation below.

3/4x=87

To find our answer ,we just divide both sides of the equation by 3/4.

x=116

Therefore, 116 people attended the concert.

I hope this helps!

8 0
2 years ago
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A) 15 - 4 X 6 + 30 - 5​
saw5 [17]

Answer:

16

Step-by-step explanation:

15 – 24 +30 – 5

–9+25

= 16

5 0
2 years ago
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Which is more, 45 dimes or 450 pennies?
Llana [10]

Answer:

they are equal

Step-by-step explanation:

1 dime is equal to 10 pennies

so 45x10 = 450

450=450

4 0
2 years ago
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