Answer:
12 square units
Step-by-step explanation:
A = 1/2·h(sum of bases)
A = 1/2(4)(2+4)
A = 2(6) which is 12 square units
Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be
. If you meant
, please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of
, then by substitution we have:
.
We just need to simplify to determine y:
Multiply the 2 and -1:

Use reciprocal rule for exponents to get rid of the negative:

just means
:

.
Step-by-step explanation:
f(-5) goes through y=-9
So, f(-5) = -9
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11