Answer:
PS = 7
k = 9
Step-by-step explanation:
RS = PQ Given
3x - 7 = x - 1 Substitute algebraic terms. Subtract x from both sides
3x-x - 7 = x - 1 - x Combine
2x - 7 = - 1 Add 7 to both sides.
2x - 7+7 = -1+7 Combine
2x = 6 Divide by 2
2x/2 = 6/2
x = 3
Length of PS = x - 1 + x + 3x - 7
Length of PS = 5x - 8
Length of PS = 5*3 - 8
Length of PS = 7
=========================
f(x) = k - x^2
x = 2
f(x) = 5 is the given point
5 = k - x^2 Substitute for x^2
5 = k - 2^2 Expand
5 = k - 4 Add 4 to both sides.
5+4=k-4+4 Combine
k = 9
Answer:
10 minuites
Step-by-step explanation:
9514 1404 393
Answer:
52 measures
Step-by-step explanation:
Let s represent the length of the second song. Then the first song's length is 108 -s, and the difference in length is ...
(108 -s) -(s) = 4
108 -2s = 4 . . . .collect terms
54 -s = 2 . . . . divide by 2
52 = s . . . . . add s-2
Grace's second song is 52 measures long.
Answer:
y = -x + 2
Step-by-step explanation:
The equation of line is often written in the form;
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
From the given parameters;
c = 2
(1,1) are the coordinates
Let us find the slope of the line;
1 = m(1) + 2
1 = m + 2
m = 1- 2 = -1
The equation of the line is;
y = -1x + 2
y = -x + 2
First change the denominator to the same denominator so you can easily compare them.
3/4= 24/32. The difference between them is 1/24, or 25/32 is larger than 3/4 by 1/24.
Hope this helped.
