Answer:
a) 16
b) -8
c) 2
Step-by-step explanation:
Given:
p = 2
q = -3
r = -1
a)
5p - 2q
Substitute variables.
5(2) - 2(-3)
Multiply.
10 + 6
Add.
16
b)
pq + pr
Substitute variables.
(2)(-3) + (2)(-1)
Multiply.
-6 - 2
Subtract.
-8
c)
pr²
Substitute variables.
(2)(-1)²
Square -1.
(2)(1)
Multiply.
2
Answer:
X=23
Step-by-step explanation:
12²+5²=(X-10)²
144+25=(X-10)²
169=(X-10)²
√169=√(X-10)²
13=X-10
X=23
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
3-7p=-102
-7p=-102-3
-7p=-105
P=-105/-7
P=15
Hope this helps!