Answer:
143
Step-by-step explanation:
lets make a fraction:
so
91 oil changes/7days
lets take "x" as the unknown # of oil changes:
so
x/11
91/7=x/11
we can cross multiply:
91*11=7*x
1001=7x
143=x
so 143 oil changes in 11 days
Hope this helps!
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= 2x + 1 + x² - 7 ← collect like terms
= x² + 2x - 6 → C
Answer:
390cm
Step-by-step explanation:
1. find area of rectangle
1. 15cm x 20cm= 300 cm
2. find area of triangle
1. 1/2 (12 x 15)= 90cm
300+90
Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
Answer:
The answer is A. Substitution
Step-by-step explanation:
Looking at the previous proofs, you can see that:
∠Y≅∠4
∠Z≅∠6
∠X + ∠4 + ∠6 = 180°
Statement 5 then replaces ∠4 and ∠6 with ∠Y and ∠Z, respectively. Replacing it means that it was substituted with the GIVEN values by the previous statements.
The best answer is the Substitution.