Answer:
1st one 6.4
Step-by-step explanation:
C^2= a^2 +b^2
C^2 = 5^2 + 4^2
C^2 = 25 + 16
C^2= 41
Root of 41 is 6.4
Rewrite the expression on the left using the distributive property
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they have to have the same slope.
y = 6x + 6 The slope of this line is 6, so the parallel line's slope is also 6.
Now that you know m = 6, substitute/plug it into the equation:
y = mx + b Plug in 6 for "m" in the equation
y = 6x + b To find "b", plug in the point (20, 1) into the equation
1 = 6(20) + b
1 = 120 + b Subtract 120 on both sides to get "b" by itself
1 - 120 = 120 - 120 + b
-119 = b Now that you know b = -119, plug it into the equation
y = 6x - 119
Answer: D:
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
Step-by-step explanation:
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2
cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2
to improper fraction.

Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.

Now let's cross multiply, we get


Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x =
cups
So the baker needs
cups to make 90 cookies.