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Alex_Xolod [135]
3 years ago
9

Find the equation of a line whose gradient is -¾ and y intercept is 2​

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:<u>y =-3x/4+2 </u>

Step-by-step explanation:

Slope= -3/4

The line is passing through (0,2).

y-2=(x-0)*-3/4

or

<u>y =-3x/4+2</u>

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What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
2 years ago
WRITE DOWN THE FALUE OF 7
Maru [420]

Answer:

(I need to know where the seven is located/placed.) Please give a clear answer or attach a photo next time so everybody who sees your question will understand.

Step-by-step explanation:

Comparing the numbers 700, 70, and 7; the digit "7" has a different value depending on its place within the number.

7 - ones place

70 - tens place

700 - hundreds place

The place value of the 7 determines the value it holds for the number. As the place moves to the left, the value of the number becomes greater by 10 times

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The measure of c is .
mina [271]

Answer:

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What property justifies that <br> 6<br> x<br> +<br> 9<br> 3<br> =<br> 2<br> x<br> +<br> 3<br> ?
NNADVOKAT [17]

Answer:

Distributive Property

Step-by-step explanation:

Brainliest Please!

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