Answer:X=-9
Sorry I didn’t remember what the step by step is for this one just the main answer
45mph times x hours one way
30mph times y hours back
x+y=3 hours 15 minutes
45mph(x)=z miles
30mph(y)=smiles
so
and substituting we know 15 minutes is 1/4 an hour so we have
so 1.95 is how long they were going 30mph
1.95hours time 30mph is 58.5 miles.
so that is the distance. check by putting in y and solving for x. multiply x by 45 and you should get the same distance
Answer:
y = -8
Step-by-step explanation:
Solve as a system of equations
2x + y = -8 multiply this equation by 2
-4x + 2y = -16 Do not change
Solving: 4x + 2y = -16
<u> -4x +2y = -16 </u>
4y = -32
y = -8
2x + y = -8 Solve for x
2x = -y - 8
x = -y/2 - 8/2
x = -1/2y - 4 Substitute this into your second equation
-4x + 2y = -16
-4(-1/2y - 4) + 2y = -16
2y -16 +2y = -16
4y - 16 = -16
4y = -32
y = -8 x = -1/2(-8) -4 = 4 - 4 = 0
Checking the answer
2(0) + -8 = -8
-4(0) +2(-8) = -1 6 = 0 -16 = -16
Add 7 to both sides
At the left hand side 7 will cancel 7
At the right hand side 7 will add up
Divide through by 2
simplify the fraction
Answer:
24a³b⁴
Step-by-step explanation:
6ab³ * 4a²b <em>{Use the rule of exponents to simplify the expression.}</em>
6¹a¹b³ * 4¹a²b¹<em> {Use the Commutative Property of Multiplication.}</em>
6¹ * 4¹a¹a²b³b¹ <em>{To multiply powers of the same base, add their exponents.}</em>
6 * 4¹a¹⁺²b³⁺¹ <em>{Add the exponents 1 & 2.}</em>
6 * 4¹a³b³⁺¹ <em>{Add the exponents 3 & 1.}</em>
6 * 4¹a³b⁴ <em>{Multiply 6 by 4 to get 24.}</em>
24a³b⁴
The area of the triangle is 24a³b⁴.