The answer is <span>(-1, -6)
</span>
Let's go through all choices:
1. (x, y) = (-10, 17)
x + y = 7
-10 + 17 = 7
17 - 10 = 7
7 = 7
So, these points lie on the line.
2. (x, y) = (<span>13/3, 8/3)
</span>x + y = 7<span>
13/3 + 8/3 = 7
(13 + 8)/3 = 7
21/3 = 7
7 = 7
</span>So, these points lie on the line, too.
3. (x, y) = <span>(-1, -6)
</span>x + y = 7
-1 + (-6) = 7
-1 - 6 = 7
-7 ≠ 7
So, these points DO NOT lie on the line.
Answer:
See below
Step-by-step explanation:
1.
-6(a + 8)
Distribute the -6.
-6a - 48
2.
4(1 + 9x)
Distribute the 4.
4 + 36x or 36x + 4
3.
6(-5n + 7)
Distribute the 6.
-30n + 42
4.
(9m + 10) * 2
Rewrite.
2(9m + 10)
Distribute the 2.
18m + 20
5.
(-4 - 3n) * -8
Rewrite.
-8(-4 - 3n)
Distribute the -8.
32 + 24n or 24n + 32
6.
8(-b - 4)
Distribute the 8.
-8b - 32
7.
(1 - 7n) * 5
Rewrite.
5(1 - 7n)
Distribute the 5.
5 - 35n or -35n + 5
8.
-6(x + 4)
Distribute the -6.
-6x - 24
9.
5(3m - 6)
Distribute the 5.
15m - 30
10.
(-6p + 7) * -4
Rewrite.
-4(-6p + 7)
Distribute the -4.
24p - 28
11.
5(b - 1)
Distribute the 5.
5b - 5
12.
(x + 9) * 5
Rewrite.
5(x + 9)
Distribute the 5.
5x + 45
Answer:
ABC~WXY by AA
Step-by-step explanation:
In ΔABC
∠B = 90°
∠A = 27°
To Find ∠C
Angle sum property: The sum of all angles of triangle is 180°
∠A+∠B+∠C=180°
27°+90°+∠C=180°
∠C=180°-117°
∠C=63°
In ΔWXY
∠X = 90°
∠Y = 63°
We will use angle sum property
So, ∠W+∠Y+∠X=180°
90°+63°+∠W=180°
∠W=180°-(90°+63°)
∠W=27°
So, ∠A=∠W
∠B =∠X
∠C = ∠Y
So, ABC~WXY by Angle - Angle property.
Hence ABC~WXY by AA
Length x width equals area of rectangle. 301/2÷61/2=5
the width of the rectangle equals 5 inches.
Answer:
You should choose an account with a 7% annual interest rate which is compounded quarterly
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
part 1)
we have
substitute in the formula above
part 2)
we have
substitute in the formula above
