Answer:
of
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Answer:
Part a) GK=(7x+1)
Part b) GH=5 units and JK=8 units
Step-by-step explanation:
Part a) what algebraic expression represents GK?
we know that
GK=GH+HJ+JK
step 1
Find GH
we have
GH=GJ-HJ
substitute the given values
GH=(2x+3)-x=x+3
step 2
Find JK
JK=HK-HJ
substitute the given values
JK=(6x-2)-x=5x-2
step 3
Find GK
GK=GH+HJ+JK
we have
GH=x+3
HJ=x
JK=5x-2
substitute
GK=(x+3)+x+(5x-2)
GK=(7x+1)
Part b) If GK=15, what are GH and JK?
we know that
GK=(7x+1)
For GK=15
substitute the value of GK and solve for x
15=(7x+1)
7x=15-1
7x=14
x=2
<u><em>Find the value of GH</em></u>
GH=x+3
substitute the value of x
GH=2+3=5 units
<u><em>Find the value of JK</em></u>
JK=5x-2
substitute the value of x
JK=5(2)-2=8 units
Answer:
A
Step-by-step explanation:
x² + 10x + 24 = 0
Here, a = 1, b = 10, c = 24. Factoring using the AC method:
ac = 1×24 = 24
Factors of 24 that add up to 10 are +4 and +6.
Therefore:
(x + 4) (x + 6) = 0
x + 4 = 0, x + 6 = 0
x = -4, x = -6
The roots are -4 and -6. Added together:
-4 + -6 = -10
Answer A.
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