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sergeinik [125]
3 years ago
8

What is the initial value of the equation shown?

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

your answer is -5

Step-by-step explanation:

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Help me please, Find a, b, and c.
Mama L [17]

Answer:

a = 6*\sqrt{3}

b = 12

c = 6\sqrt{2}

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths 1-1-\sqrt{2}.

A 30-60-90 right triangle has side lengths 1 - \sqrt{3} -2.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length \sqrt{3}. Therefore, a = 6*\sqrt{3}.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to \sqrt{2}. This means \sqrt{2} was multiplied by 12 = \sqrt{2} * \sqrt{72}. This means that side c is \sqrt{72}=6\sqrt{2}.

3 0
3 years ago
Read 2 more answers
Write the equation of the line shown in point-slope form. (2,1) (3,8)
Ulleksa [173]

<u>Answer:</u>

The line equation that passes through the given points is 7x – y = 13

<u>Explanation:</u>

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}

{(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)

(y -8) = \frac{(- 7)}{(-1)}(x-3)

y – 8 = 7(x – 3)

y – 8 = 7x – 21  

7x – y = 21 – 8  

7x – y = 13  

Hence, the line equation that passes through the given points is 7x – y = 13

3 0
3 years ago
The picture is attached with t
weeeeeb [17]
Your answers should be B and D

When naming angles, they all need to be connected on the line without overlapping any points previously said. Angle YXZ is incorrect because X is not on the same line as Z. YW is a line because both sides continue on forever, as indicated by the arrows.

Hope this helps!
6 0
3 years ago
#9. Solve: 8x + 5 = 3x + 15<br><br> X = 4<br> x = 2<br> x = 20/11<br> x = 20
Jobisdone [24]

Answer:

x = 2

Step-by-step explanation:

8x + 5 = 3x + 15

8x - 3x + 5 = 3x - 3x + 15

5x + 5 = 15

5x + 5 - 5 = 15 - 5

5x = 10

5x / 5 = 10 / 5

x = 2

6 0
3 years ago
Find the surface area of each figure?Please help
kolbaska11 [484]
--------------------------------------------------
Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>

--------------------------------------------------
Surface area of the rectangle prism
--------------------------------------------------
2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
--------------------------------------------------
Overlapping area
--------------------------------------------------
2.5 x 2.5 = 6.25m²

--------------------------------------------------
Surface area of the composite figure
--------------------------------------------------
37.5 + 478 - 2(6.25) = 503m²

<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>

--------------------------------------------------
Answer: 503m²
--------------------------------------------------

4 0
3 years ago
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