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spin [16.1K]
3 years ago
13

What is the x intercept of the line y=5x+6

Mathematics
1 answer:
garri49 [273]3 years ago
4 0
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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
2 years ago
Find the ratio if y:x if 3x=11y
Finger [1]

Answer:

11:3

Step-by-step explanation:

For every 11 y there is 3x

6 0
3 years ago
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Which statement is true?
EleoNora [17]

Answer:

wish i can help

Step-by-step explanation:

3 0
3 years ago
2/5 (x-4) =2x. Solve for x
Bess [88]
\dfrac{2}{5}(x-4)=2x\ \ \ \ |multiply\ both\ sides\ by\ 5\\\\2(x-4)=10x\ \ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\2x-8=10x\ \ \ |add\ 8\ to\ both\ sides\\\\2x=10x+8\ \ \ \ |subtract\ 10x\ from\ both\ sides\\\\-8x=8\ \ \ \ |divide\ both\ sides\ by\ (-8)\\\\\boxed{x=-1}
7 0
3 years ago
If 15/x is equal to 75/100 what is x
Hatshy [7]
15/x=75/100
15/x=3/4
times 4x both sides
4*15=3x
60=3x
divide both sides by 3
20=x
7 0
3 years ago
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