Answer:
y= (-3x+8)/4
x = (-4 +8)/3
Step-by-step explanation:
3x + 4y = 8
-3x -3x
4y = -3x +8 divide ALL by 4
y= (-3x+8)/4
3x + 4y = 8
-4y -4y
3x = -4 +8 divide ALL by 3
x = (-4 +8)/3
Answer:
a). true
b). true
Step-by-step explanation:
a).
Given : If a = 5, then ac = 5c
Let c be any constant.
a = 5 (given)
Therefore, ac = 5c
Here a is given a constant value (5), also let assume c to be a constant. So when we multiply each term we will get a constant value of 5c. The ratio does not change.
Hence proved.
b).
Given : If ac = 5c, then a = 5
Let c be any constant
It is given, a = 5
Therefore, ac = 5c
Here the product of two terms is given as 5c, where c is assume to be a constant. Then as a product rule, the value of a will be 5. The ratio will not change.
Hence proved.
Answer:
220
Step-by-step explanation:
We have given that Colin scored 25 and Brian scored x ( x-unknown)
Since we know that Brian scored 170 more than Colin, Brian scored:
x = 25 + 170 = 195
Now we know that Colin scored 25 and Brian scored 195.
They together scored
25 + 195 = 220
The square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
<h3>What is a right-angle triangle?</h3>
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
First we have to find the line that goes through the points (0, 6) and (8, 0)
(y - 0) = (0-6)/(8-0)(x-8)
y = (-6/8)[x - 8]
Plug y = x
x = (-6/8)[x - 8]
After solving:
x = 24/7 or 3.428
y = 24/7 or 3.428
Thus, the square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
Learn more about the right angle triangle here:
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Answer:
see explanation
Step-by-step explanation:
the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is
x + x + 2 + x + 4 = 72 , that is
3x + 6 = 72 ( subtract 6 from both sides )
3x = 66 ( divide both sides by 3 )
x = 22
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
the 3 consecutive even integers are 22, 24 , 26
