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Butoxors [25]
2 years ago
9

If 8^y=16^y+2, what is the value of y? A) -8 B) -4 C) -2 D) -1

Mathematics
1 answer:
Pie2 years ago
6 0
8=2^3;\ 16=2^4

Use:\ (a^n)^m=a^{nm}

8^y=16^{y+2}\\\\(2^3)^y=(2^4)^{y+2}\\\\2^{3y}=2^{4(y+2)}\iff3y=4(y+2)\\\\3y=4y+8\ \ \ |-4y\\\\-y=8\to y=-8

Answer: A) -8.

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Step-by-step explanation:

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3 years ago
How do you plot a linear graph​
dlinn [17]

Step-by-step explanation:

You can plot linear graph using two point (x1,y1) and (x2,y2), where x1, y1, x2 and y2 are real numbers.

or

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4 0
3 years ago
In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

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4 0
2 years ago
Read 2 more answers
1. What is the volume of the prism that can be constructed from this net?
Irina-Kira [14]
1. V = lwh
    V = (8)(4)(5)
    V = (32)(5)
    V = 160 units³

2. V = lwh + lwh
    V = (4)(2)(1) + (3)(1)(1)
    V = (8)(1) + (3)(1)
    V = 8 + 3
    V = 11 units³

3. V = leh + s³
    V = (9)(3)(4) + (3)³
    V = (27)(4) + 27
    V = 108 + 27
    V = 135 units³

4. V = lwh
    V = (3)(7)(2)
    V = (21)(2)
    V = 42 units³
3 0
3 years ago
Given f(x) = 2x - 7, complete parts (a) through (c).
neonofarm [45]

Answer:

a) x=7/2

Step-by-step explanation:

a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.

6 0
3 years ago
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