Can someone please help me with this by tonight

Umnica [9.8K]

Answer:
X = 7/5
when the value of x is 7/5 the equation will be true
Step-by-step explanation:
To fine the value of x that makes the equation true, we equate the expression to zero to find the value of x.
Check attachment for processes
Therefore when the value of x is 7/5 the equation will be true

8 0

2 years ago

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

2 years ago

Read 2 more answers

which one of the following examples represents a repeating decimal A. 1.111114 B. 0.777777 C. 4.252525 D. 0.123123

elena-s [515]

Actually, i think something is missing here:

You need either a parenthesis or some dots at the end to determine this. A repeating decimal can have one repreating digit:

0.(7): 0.777777...

two:

0.(45): 0.45454545454545....

or more: so potentially all of them can be repeating, even a!

it could be: 1.(111114)

or: 1.111114111114111114111114111114111114111114111114111114111114111114111114111114...

proably B. is the most typical of repeating decimals (choosed this one if you have to), but in reality, you need more information... did you copy the question exactly?

7 0

3 years ago

Sandy works at a clothing store. She makes $7 per hour plus earns 10% commission on her sales. She worked 72 hours over the last

MArishka [77]

7(72) + 0.10(2574) = 504 + 257.40 = 761.40 <== this is how much she will earn. Your gonna have to pick the answer choice that is the closest since no answer choices were given.

3 0

2 years ago

How many times does the line y=2 touch the graph? (Ensure to draw your line on the graph)* (1 Point) *

faust18 [17]

Answer:

3

Step-by-step explanation:

if you draw a line y=2 will touch the graph in 3 points

7 0

2 years ago