Answer:
No
Step-by-step explanation:
If a ordered pair is a solution for an equation, then it will satisfy the equation. That is, after substituting the x and y values in the equation, both sides of the equation will be same.
Here 29 ≠ 45.
So, (4,7) is not a solution
<u>Answer:</u>
<u>Step-by-step explanation:</u>
-4x - 9y = -25
7(-4x - 9y = -25)
-28x - 63y = -175
<u>Now, let's substitute the value of y into the first equation.</u>
- => -7x - 2y = 25
- => -7x - 2(5) = 25
- => -7x - 10 = 25
- => -7x = 35
- => x = -5
<u>Now, let's check our answer to make sure our answer is correct.</u>
<u>Check:</u>
- -4x - 9y = -25
- => -4(-5) - 9(5) = -25
- => 20 - 45 = -25
- => -25 = -25
Hence, this is proved correct.
Hoped this helped.
Answer:
s₁ > s₂
Is accurate comparison
Step-by-step explanation:
If we have two different point for a straight line the slope of such line is given by:
P₁ = ( x₁ , y₁ ) P₂ = ( x₂ , y₂ )
The slope of the line is
s₁ = (y₂ - y₁ ) / ( x₂ - x₁)
Then for the pairs of points:
P₁ (2 , 50 ) and P₂ ( 4 , 100)
y₂ - y₁ = 100 - 50 ⇒ y₂ - y₁ = 50
and
( x₂ - x₁ ) ⇒ 4 - 2 = 2
Then
s₁ = 50/2
s₁ = 25
In the second case
Points
P₁ ( 2 , 40 ) P₂ ( 4 , 80 )
s₂ = (y₂ - y₁ ) / ( x₂ - x₁)
y₂ - y₁ = 80 - 40 = 40
x₂ - x₁ = 4 - 2 = 2
s₂ = 40/2
s₂ = 20
Then
s₁ > s₂
Is accurate comparison
Answer:
1. x = 2.6
2. 7x + 1
Step-by-step explanation:
1.
Given:
4.75x = 12.35
Find x
4.75x = 12.35
Divide both sides by the coefficient of x, that is 4.75
4.75x / 4.75 = 12.35 / 4.75
x = 2.6
Check
4.75x = 12.35
4.75(2.6) = 12.35
12.35 = 12.35
2.
Given:
3x + 2 + 4x - 1
Combine like terms
3x + 4x + 2 - 1
7x + 1
Suppose the angles measures are 2x, 5x, and 9x
the three angles make a total of 180: 2x+5x+9x=180
16x=180
x=11.25
so the three angles are 22.5, 56.25, and 101.25 respectively
a little odd, but those should be the measurements.
