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Andru [333]
3 years ago
8

Can someone help me with this problem? Please

Mathematics
1 answer:
Molodets [167]3 years ago
4 0
Semicircle g has center at (-4,0) and radius 2.

Use the general equation for a circle:

(x-h)^2 + (y-k)^2 = r^2

Here, the center is (h,k), where h = -4 and k=0.  Also, r = 2

So we have (x-[-4])^2 + (y-0)^2 = r^2 = 4

Let's solve for y in terms of x:

y^2 = 4 - (x+4)^2 

Since we are interested in only the bottom half of this circle,

y  =  - sqrt(4 - x^2 - 8x - 16)
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Apply the distributive property to factor out the greatest common factor of all three terms. {10a - 25 + 5b} =10a−25+5b =
Rom4ik [11]

Answer:

5(2a -5 + b)

Step-by-step explanation:

(10a - 25 + 5b) = 5( 2a - 5 + b)

5(b +  2a  - 5) = 5(2a - 5 + b)

8 0
3 years ago
Marley picked 18 bananas, which is 6 timies as many bananas as Julans picked. The equation 6x?=18 can be used to find the number
ivann1987 [24]

Answer:

1. 6x = 18                   (Divide by six on both sides

2. \frac{6x}{6} =\frac{18}{6}                (the6 on the right side cancels out, you are left with 18/6)

3. x = 3

Step-by-step explanation:

5 0
3 years ago
Two complementary angles are such that one is 15 degrees less than
Softa [21]

Answer:

35 and 55

Step-by-step explanation:

x+(2×-15)=90

3x-15=90

3x=105

x=35

other angle is 35×2-15=55

4 0
3 years ago
Read 2 more answers
Which of the following is an appropriate measure of central tendency to apply
Serhud [2]

Answer:

Mean and Median

Step-by-step explanation:

5 0
3 years ago
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0
3 years ago
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