Answer:
a = 1, b = 7
Step-by-step explanation:
Given the 2 equations
3a + 6b = 45 → (1)
2a - 2b = - 12 → (2)
Multiply (2) by 3 and add to (1) to eliminate the term in b
6a - 6b = - 36 → (3)
Add (1) and (3) term by term
(3a + 6a) + (6b - 6b) = (45 - 36)
9a = 9 ( divide both sides by 9 )
a = 1
Substitute a = 1 in either (1) or (2) and solve for b
(1) → 3 + 6b = 45 ( subtract 3 from both sides )
6b = 42 ( divide both sides by 6 )
b = 7
(3)(-5x+y=-3)
(5)(3x-8y=24)
-15x+3y=-9
15x-40y=120
3y=-9
-40y=120
-37y=111
Divide both sides by -37
y=-3
To solve for x. Choose one equation from the given and plug what you get in Y.
I'll choose, -5x+y=-3
So, -5x+(-3)=-3
-5x=0
Divide both sides by -5
x=0/-5
Hope, this helps.
Based on the central angle theorem, the measure of angle AEB is: 140°.
<h3>What is the Central Angle Theorem?</h3>
According to the central angle theorem, the measure of an intercepted arc = measure of the central angle.
Arc AB = 140° [intercepted arc]
Angle AEB is the central angle.
Thus, based on the central angle theorem, the measure of angle AEB is: 140°.
Learn more about the central angle theorem on:
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The slope is 7
slope equation: y=mx+b
m=slope
Answer:
C) 3,-2,-7,-12
Step-by-step explanation:
A sequence is defined recursively using the formula f(n+1)=f(n)-5. Therefore, 3,-2,-7,-12 is the sequence that could be generated using this formula.
