Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
Answer:
Step-by-step explanation:
measures of complementary angles always add up to 90°
(3y - 1) + (4y + 7) = 90
3y + 4y - 1 + 7 = 90
7y + 6 = 90
7y = 90 - 6
7y = 84
y = 84/7
y = 12
To Calculate the measure of each of the angles replace variable y with 12
3(12) - 1 = 35 degrees
4(12) + 7 = 55 degrees
35 + 55 = 90°
Answer:
T = - 3.2e + 80
Step-by-step explanation:
Given the following :
e = elevation in thousands of feets
T = temperature (°F)
e1 = 5 ; e2 = 10 (in thousands of feet)
T1 = 64° ; T2 = 48°
y = mx + c ; T = me + c
y = ; m = slope, c = intercept
64 = m5 + c - - - - (1)
48 = m10 + c - - - - (2)
From (1)
c = 64 - m5
Substitute c = 64 - m5 into (2)
48 = m10 + c - - - - (2)
48 = m10 + 64 - m5
48 - 64 = 10m - 5m
-16 = 5m
m = - 16 / 5
m = - 3.2
Substitute the value of m into c = 64 - m5
c = 64 - 5(-3.2)
c = 64 - (-16)
c = 64 + 16
c = 80
Inserting our c and m values into T = me + c
T = - 3.2e + 80
Where e is in thousands of feet
T is in °F
1. Pythagorean Theorem
2. Converse
3. Pythagorean Theorem
4. Pythagorean Theorem
Answer:
Step-by-step explanation:
Pretend the decimals do not exist and multiply the two numbers and Count the total number of decimal places in the problem. Place the decimal in the answer such that the answer has the same number of decimal places as the problem.
