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Mnenie [13.5K]
3 years ago
8

Show your work and plz help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

p = 16

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{FD}{HF} = \frac{DE}{FG} , substitute values

\frac{p}{12} = \frac{32}{24} ( cross- multiply )

24p = 384 ( divide both sides by 24 )

p = 16

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in 2005 a car was sold new for $12,500. in 2008 value of the car was $8750. find the percent. decrese
Lady_Fox [76]
N-O
———-
O

(New - old
—————
O)

8750-12500
——————-
12500

-3750
————
12500

=030%
7 0
3 years ago
-4x = -28<br> I need an answer...
Strike441 [17]

Answer:

x = 7

Step-by-step explanation:

-4x/-4 = -28/-4

x = 7

7 0
2 years ago
See attachment below
KatRina [158]

Answer: Third Option

x=1.469743

Step-by-step explanation:

We have the following exponential equation

3^{x+1}=15

We must solve the equation for the variable x

To clear the variable x apply the log_3 function on both sides of the equation

log_3(3^{x+1})=log_3(15)

Simplifying we get the following:

x+1=log_3(15)

To simplify the expression log_3 (15) we apply the base change property

log_b(y)=\frac{log(y)}{log(b)}

This means that:

log_3 (15)=\frac{log(15)}{log(3)}

Then:

x+1=\frac{log(15)}{log(3)}

x=\frac{log(15)}{log(3)}-1

x=1.469743

6 0
3 years ago
What is the solution to the system: ax+y=18 and 4ax-y=12? Use elimination. Put the answer as an ordered pair. Show work on the n
Alchen [17]

Answer:

Ax=6

Y=12

Therefore a=6, x=1, y=12

5 0
3 years ago
Read 2 more answers
Solve the following quadratic by factoring.
Lina20 [59]

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

(x - 4) (x + 1) = 0

To test that this is equal to the original equation, simply multiply it out using FOIL.

x * x = x^2

x * 1 = x

x * -4 = -4x

-4 * 1 = -4

Putting each component into an equation:

x^2 + x - 4x - 4 = 0

Simplifying:

x^2 - 3x - 4 = 0

Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.

You can also check your answers by plugging them back into the original equation.

5 0
3 years ago
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