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nadezda [96]
3 years ago
6

Solve for all values of x in simplest form. 9-4|3+5x|=5

Mathematics
2 answers:
ozzi3 years ago
6 0

Answer:

x = -2/5                  x = -4/5

Step-by-step explanation:

9-4|3+5x|=5

Subtract 9 from each side

9-9-4|3+5x|=5-9

-4|3+5x|=-4

Divide by -4

-4/-4 |3+5x|=-4/-4

|3+5x|=1

The solution to an absolute value is positive and negative

3+5x =1            3+5x = -1

Subtract 3 from each side

5x = 1-3             5x = -1-3

5x = -2               5x = -4

Divide by 5

5x/5 = -2/5           5x/5 = -4/5

x = -2/5                  x = -4/5

Zinaida [17]3 years ago
5 0

Answer:

x=-2/5\text{ or } x=-4/5

Step-by-step explanation:

So we have the equation:

9-4|3+5x|=5

First, subtract 9 from both sides:

-4|3+5x|=-4

Divide both sides by -4:

|3+5x|=1

Definition of Absolute Value:

3+5x=1\text{ or } 3+5x=-1

Subtract 3 from both sides:

5x=-2\text{ or } 5x=-4

Divide both sides by 5:

x=-2/5\text{ or } x=-4/5

And we're done!

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Prove that angle W is congruent to angle Y with a two column proof.
iren2701 [21]

Statement 1: WXYZ is a kite

Reason 1: Given

Statement 2: WX = XY and WZ = YZ

Reason 2: Definition of a kite

Statement 3: XZ = XZ

Reason 3: Reflexive property

Statement 4: Triangle WXZ = Triangle YXZ

Reason 4: SSS Congruence

Statement 5: Angle W = Angle Y

Reason 5: CPCTC

-------------------------------------------------------------------------

Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.

* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y

* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".

* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"

4 0
3 years ago
What's the difference between -40ft and 3000ft
Vladimir79 [104]

Answer:

2960 ft.........is the difference between -40ft and 3000ft

3 0
2 years ago
What’s the answer ?
makvit [3.9K]

Answer:(D) is the answer

Step-by-step explanation:

for every cup grandma uses 3/4 of a cup of strawberry

6 0
2 years ago
Determine whether the data set is a population or a sample. Explain your reasoning. The salary of each teacher in a school. Choo
SVETLANKA909090 [29]

Answer:

D. ​Population, because it is a collection of salaries for all teachers in the school.

Step-by-step explanation:

In research, population refers to a complete set of subjects that share a characteristic and that the researcher is interested in. On the other hand, a sample is a subset of a population and it's usually the one the researcher takes to make a study with.

In this example, we have "The salary of each teacher in a school" since we are taking ALL the teachers of this school, this would be a population. If we were working with the salary of only a portion of the teachers of said school, it would be a sample.

Thus, the right answer is  D. ​Population, because it is a collection of salaries for all teachers in the school.

5 0
3 years ago
A kite is flying 12 ft off the ground. Its line is pulled taut and casts an 8 -ft shadow. Find the length of the line. If necess
LenKa [72]
Answer

14.4 ft~

Step-by-step explanation

A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)

Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8

Use Pythagoras Theorem

Where a^2 + b^2 = c^2

8^2 + 12^2 = 208

Square root 208 = 14.4~

~ Hoodini, here to help :)
6 0
3 years ago
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