Answer:
<u>(3w + 7)² or (3w + 7)(3w + 7)</u>
Step-by-step explanation:
<u>Identity</u>
- a² + 2ab + b² = (a + b)² = (a + b)(a + b)
<u>Solving</u>
- 9w² + 42w + 49
- (3w)² + 2(3w)(7) + (7)²
- <u>(3w + 7)² or (3w + 7)(3w + 7)</u>
Based on the graph, the slope is -3, and the y-intercept is 1. So your equation should be:
y = -3x + 1
The answer is C
y + 2 = -3(x - 1)
y + 2 = -3x + 3
y = -3x + 1
Answer:
I would say the answer is
1. reflection across m
2. rotation about a
3. congruent to
all transformations are congruent to each other unless it is a dilation.
Step-by-step explanation:
Answer:
3 dogs and 2 cats.
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: number of cats
let y: number of dogs
So:
42.5 * x + 64 * y = 277
35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5
Replacing, we are left with that:
42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277
266.37- 60.45 * y + 64 * y = 277
64 * y - 60.45 * y = 277 - 266.37
3.55 * y = 10.63
y = 10.63 / 3.55
y = 2.99, about 3
Now to calculate x:
x = (222.5 - 50.5 * 3) /35.5
x = 2
Which means that it has a total of 3 dogs and 2 cats.
