Which of the following demonstrates the Distributive Property?4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12
Answers
We want to see which one of the given expressions demonstrates the distributive property.
The correct option is the last one:
4*(2a + 3) = 8a + 12
The first thing we need to do is define the distributive property. It can be written as:
A*(B + C) = A*B + A*C
Now let's apply this to the given expression:
4*(2a + 3) = 4*(2a) + 4*3 = 8a + 12
Then we have:
4*(2a + 3) = 8a + 12
This is what we can see in the fourth option, then the correct option is the fourth one (counting from the top):
4*(2a + 3) = 8a + 12
If you want to learn more, you can read:
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Please HELP me with these and explain. i did these but i wanna make sure they are right.
Solve the polynomial equation x^3-27=0 by factoring. (with explanations of each step)
Answers
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(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation
2x+3y=6
x+y=4
multiply second equation by -2 and add to first
2x+3y=6
-2x-2y=-8 +
0x+1y=-2
y=-2
sub back
x+y=4
x-2=4
add 2
x=6
x=6
y=-2
(6,-2)
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Therefore
5x+3(2x)=22
5x+6x=22
11x=22
x=2
y=2(2)
y=4
x=2 y=4
B) yes, by SAS criterion
C) yes, by SSA criterion
D) no, not possible to tell.
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Answer:
ΔABE ~ ΔCDE by AA criterion .
Option (A) is correct .
Step-by-step explanation:
As given
∠BAE = 45° and ∠CED = 70°
Now in the ΔABE .
By apply angle sum property of a triangles .
∠ABE + ∠BEA + ∠BAE = 180 °
(As ∠BAE = 45° , ∠ABE = 65°)
65 + ∠BEA + 45 = 180 °
∠BEA = 180° - (65+45)°
∠BEA = 180° - 110°
∠BEA = 70°
As in ΔCED .
∠CDE + ∠DEC + ∠ECD = 180°
(As ∠CED = 70° , ∠CDE = 65°)
65 + 70+ ∠ECD = 180°
∠ECD = 180° - (65+70)°
∠ECD = 180° - 135°
∠ECD = 45°
Now in the ΔABE and ΔCDE .
(1) ∠BAE =∠ECD = 45°
(2) ∠BEA=∠CED = 70°
(3) ∠ABE = ∠CDE = 65°
Thus ΔABE ~ ΔCDE by AA criterion .
Option (A) is correct .
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It would take 8 weeks for them to have the same amount in the bank.
$148 +$8 every week: $260 -$6 every week:
Week 1: $156 $254
Week 2: $165 $248
Week 4: $180 $236
Week 6: $196 $224
Week 8: $212 $212
1.) 662/3% = ?/?
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Therefore, 662/3% = 662/0.03