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3 years ago

13

Which function transforms the graph of the parent function f(x) =2x by reflecting it across the y axis and translating it up 5 u

nits

1 answer:

Romashka [77]3 years ago

3 0

Start with

$f(x)=2x$

Reflecting across the y axis means to swap x with -x, so you have

$f(x)=2(-x)=-2x$

Translating up 5 units means to add 5 to the function, so you have

$f(x)=-2x+5$

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Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Levart [38]

Answer:

- ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

8 0

3 years ago

Joshua wrote 13 articles for the school newspaper this year. Paulette wrote 7 more articles than Joshua. Jeff wrote as many arti

Keith_Richards [23]

53 articles? Because josh wrote 13 plus 20 that Paulette wrote then Jeff wrote as many as Paulette so another 20.

6 0

4 years ago

Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a penc

Bas_tet [7]

Using the least common factor, it is found that:

a) 60 packages should be bought.

b) There will be 5 filled goody bags.

<h3>Least Common Factor:</h3>

The sizes of the packages are: 10, 6, 15 and 12.

To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.

The least common factor is found factoring the numbers into prime factors.

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at brainly.com/question/24873870

6 0

2 years ago

Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest answer !!!!!!!!!!!!!!!!!

ludmilkaskok [199]

Answer:

x = 8√2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Trigonometry</u>

[Right Triangles Only]: Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 8

Hypotenuse <em>c</em> = <em>x</em>

<u>Step 3: Solve for </u><em><u>x</u></em>

Substitute [PT]: 8² + 8² = x²
Exponents: 64 + 64 = x²
Add: 128 = x²
Isolate <em>x</em>: 8√2 = x
Rewrite: x = 8√2

4 0

3 years ago

"If you subtract 12 from my number and multiply the difference by -15 , the result is -140." What is 's number?

Masteriza [31]

Answer:

The answer would be 2.7. Am not very sure though

Step-by-step explanation:

So what you do is

for example the unkown number is x and the answer you get is y

12-x=y * -15=-140

-140/-15=9.33 (this is y the answer)

12-x=9.3

12-9.3=2.7

To check your answer

12-2.7=9.3

9.3 * -15=-139.5 if you round it then it would be -140

6 0

3 years ago