Mathematics High School

May I please receive help?

Answers

Answer 1

Problem 1 (on the left)

Answers:

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

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

Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

=========================================================

Problem 2 (on the right)

Answers:

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

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

Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

Related Questions

Do it quickly please for brainliest

Answers

Step-by-step explanation:

x/(2x - 4) - (2x - 11)/(x + 2) = 5/8x/(x - 2) - (4x - 22)/(x + 2) = 5/4x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)4(-3x² + 32x - 44) = 5x² - 20- 12x² + 128x - 176 - 5x² + 20 = 0- 17x² + 128x - 156 = 017x² - 128x + 156 = 0x = (64 ± 38)/17x = 6 or x = 26/17

Write an expression that represents 42 is the product of 6 and y

No explanation needed, just tell me the answer :)

Answers

Answer:

[tex]6y = 42\\y = 7[/tex]

Step-by-step explanation:

6 times 7 equals 42. It is just 6x7-42

The original price of a TV is $525. Eddie buys the TV for
14% off the original price. Two weeks later Chuck buys the
same TV for 19% off. How much more money did Eddie
spend than Chuck?

Answers

Eddie spent $26.25 more dollars than Chuck

An equivalent expression for16x-8

Answers

Answer:

8(2x-1)

Step-by-step explanation:

16x-8=8(2x-1)

Heather earns $16
$
16
for each hour she works as a lifeguard.

Choose the equation that models the situation, where ℎ
h
represents the number of hours she works and
m
represents the money she earns.

Answers

Answer:

$128 a day

Step-by-step explanation:

if she works 8 hours a day/ aka full time then its different from what she earns half time/4 hours, most likely she's working fulltime so ure answer would be $128 a day

(I would be happy if u marked me brainiest) thank you

i NEED help pleaseee

Answers

almost 100% sure its one bevause anything with the exponent of 0 is one

NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST
You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^−4/5. They are equivalent because (7/7^5)^1/5=(7^−4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer.

Answers

Answer:

Step-by-step explanation:

(7^0/7^5)^1/5

= (1 / 7^5)^ 1/5

= (7^-5)^1/5

= 7^-1

= 1/7 is the correct answer.

20-5+15(25)=b+3+65(23)

Answers

Answer:

-1108

Step-by-step explanation:

Answer:

-b=-1108

Step-by-step explanation:

20-5+375=b+3+1495

-375 -375

20-5=b+3+1420

15=b+1423

-b -b

-b+15=1423

-15 -15

-b=1108

20-5+375=-1108+3+1495

390=390

Evaluate 4(2a – b) when a = –1 and b = 5.

–48

–28

–12

32

Answers

4(2(-1)-5)
4(-2-5)
4(-7)
=-28 (B)

Hey There!

Question:-

[tex]\sf \longmapsto \: 4(2a - b)[/tex]

This is a algebraic expression. The values of a and b are given. The values are as follows :-

a = -1

And,

b = +5 .

Solution:-

[tex]\sf \longmapsto4(2a - b)[/tex]

Note that a is multiplied with 2 that is :-

[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]

Now, Insert the values that is a = -1 and b = 5 :-

[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]

Here,we need to follow BODMAS Rule.

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

We need to solve the bracket's calculations first as it is the rule.

So, Firstly Multiply (2 × -1) :-

[tex]\sf \longmapsto4( - 2 - 5)[/tex]

Note that, (-) × (-) equals to (+).

So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.

[tex]\sf \longmapsto4( 5+ 2)[/tex]

On Simplification:-

[tex]\sf \longmapsto4( - 7)[/tex]

[tex]\sf \longmapsto4 \times (- 7)[/tex]

[tex]\sf \longmapsto \: - 28[/tex]

______________________________________

Henceforth the solution of the algebraic expression is :-

[tex] \bf \:- 28[/tex]

Option B is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answers

Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

The cost of labour per hour is $65.

Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.

We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now, according to question 157+3.75×x=400.75

⇒3.75x=400.75-157

⇒3.75x=243.75

⇒x=243.75/3.75

⇒x=65

Therefore, the cost of labour per hour is $65.

To learn more about a linear equation visit:

https://brainly.com/question/27664510.

#SPJ2

(08.06 MC)
Based on the graph, what is one solution of the equation f(x) = g(x)?
f(x)
(
g(x)

A x=-3.5
b x=-1
c x = 0.25
d x=-2

Answers

Answer:

A: X= -3.5

I just took the test, and I chose -1 and got it wrong and I looked back on the answer and that's what the answer said. Sorry if I was late, but good luck.

What is the number seven hundred thirty-one million, nine hundred thirty-four thousand, thirty written in a stranded form

Answers

Answer:

731,934,030

Step-by-step explanation:

hope this helps you

Answer:

731,934,030

Step-by-step explanation:

Hope it helps

Write the percent as a fraction or mixed number in simplest form.
31.25%

Please show work!

Answers

As a fraction the answer would be 5/16

See picture attached

Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 39." What is Julio's number?

Julio's number is?

Answers

Answer:

Step-by-step explanation:

first, create two equations.

let x = Julio's number and y = answer for Julio's number substrates 17

[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]

by using substitution method, you will get

[tex]x = 30 \\ y = 13[/tex]

so the answer is 30

The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk

Answers

Answer:

B .3/9

Step-by-step explanation:

2/6 = 0.333333

3/9=0.333333

Answer: 3/9

2/6=1/3 and 3/9=1/3 as well, making them equal

18 POINTS! WHAT IS THE ANSWER TO 1 2 3 AND 4 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

J, B, A, L

Step-by-step explanation:

The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.

Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.

Which expressions both calculate the number of hours Demetrius works in a 5-day work week?

5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren

(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1

5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5

(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren

Answers

The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5

We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.

So,

Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1

Thus, the both expression that can determine the number of hours Demetrius works in five days is:

= 5(x + 1) and 5x + 5

This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.

5 times open paren x plus 1 close paren and 5 x plus 5 is correct.

Learn more about word problems here:

https://brainly.com/question/2610134?referrer=searchResults

the sum of -8 and a number is at least 9 write an inequality and solve each problem