Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
Refine
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
Answer:
B
Step-by-step explanation:
Angle 4 × Angle 3 = 90
Complementary angles
11x + 4x = 90
15x = 90
x = 6
Angle 3 = 4x = 4(6) = 24°
-8+b2-(5+b2). Since the - is outside the paranthesis the signs inside change: -8+b2-5-b2. -8-5=-3, b2-b2=0. Your answer: -3 :)
Answer:
The solution for y is y = 2x + 1
Step-by-step explanation:
* <em>Lets explain how to solve an equation for one of the variables</em>
- We need to solve the equation 16x + 9 = 9y - 2 x for y
- That means we want to find y in terms of x and the numerical term
- the equation has two sides, one side contains x and numerical term
and the other side contains y and x
- We need to separate y in one side, and other term in the other side
* <em>Lets do that</em>
∵ 16x + 9 = 9y - 2x
- Add 2x to both sides to cancel -2x from the right side
∴ 16x + 2x + 9 = 9y - 2x + 2x
- Add like terms in each side
∴ 18x + 9 = 9y
- Divide each term by the coefficient of y ⇒ (÷9)
∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y
∴ 2x + 1 = y
- Switch the two sides
∴ y = 2x + 1
* The solution for y is y = 2x + 1
Question 3 ⇒ 6.5 x 
If you move the decimal point in 6.5 seven spaces to the right you would get the number 65,000,000.
Question 4 ⇒ 3.99 x 
4.4 x 
= 0.000044
3.99 x 
= 0.00000399
2.6 x 
= 260
1.85 x 
= 1850
Question 5 ⇒ 0.0072
If you move the decimal point of 7.2 three spaces to the left. Your answer would be 0.0072, the third choice.
Question 6 ⇒
To get the answer to this problem you would count how many decimal places it would take to get your decimal point after 1, which would be 7. But, you want your exponent to be to the power of 10 not 1, so you would simply subtract 1 from 7 (7-1) which would give you 6. So your answer is .
