Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
Answer: A 1 to 4
Step-by-step explanation:
Answer:
<u>Janet's interest is $3.90 every month.</u>
Step-by-step explanation:
First, you need to set up a proportion to find Janet's interest:
0.65%/100 = x/600
Step 1: Cross-multiply.
0.65/100/100 = x/600
(0.65/100)*(600)=x*(100)
39/10=100x
Step 2: Flip the equation.
100x=39/10
Step 3: Divide both sides by 100.
100x/100=39/10/100
x=39/1000 (0.039)
Then move the decimal twice to the left to find the dollar amount:
0.039 ⇒ 3.90
Janet's interest is $3.90 every month.
HOPE THIS HELPS!!! <33333
-Silver
Answer:
Step-by-step explanation:
length of rectangle = circumference of circle = πd = 6π cm
area of rectangle = 2×6π = 12π cm
area of one circle = πr² = 9π cm²
surface area = 12π + 2(9π) = 30π ≅ 90 cm²
The factors illustrate they the sides of the rectangles are:
- (x - 1)(x - 2)
- (2x - 3)(x + 2)
<h3>How to get the factors?</h3>
The first equation given is x² - 3x + 2.
= x² - 3x + 2.
= x² - x - 2x + 2
= x(x - 1) - 2(x - 1)
= (x - 1)(x - 2)
Therefore, the side lengths are (x - 1) and (x - 2).
In the rectangular figure, the length and width should be the expressions above.
The second equation given is 2x² + x - 6.
= 2x² + x - 6.
= 2x² + 4x - 3x - 6
= 2x(x + 2) - 3(x + 2)
= (2x - 3)(x + 2)
Therefore, the side lengths are (2x - 3) and (x + 2).
In the rectangular figure, the length and width should be the expressions above.
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