Mathematics High School

Which equation would best help solve the following problem? The height of a triangle is 5 m less than its base. The area of the triangle is 42 m² What is the length of the base?​

Which Equation Would Best Help Solve The Following Problem? The Height Of A Triangle Is 5 M Less Than

Answers

Answer 1

Answer:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Step-by-step explanation:

Area of a Triangle

Given a triangle of base B and height H, the area is calculated by the formula:

[tex]\displaystyle A=\frac{1}{2}BH[/tex]

Let's call x=base of a triangle

Since the height of the triangle is 5 m less than the base:

x - 5 = height of the triangle.

Thus, the area is

[tex]\displaystyle A=\frac{1}{2}x(x-5)[/tex]

The value of the area is given as A=42 square meters, thus:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Related Questions

It took 30 minutes to drive 45 miles.

At this rate, how long will it take to drive 15 miles?

Answers

Answer:0.43 hours

Step-by-step explanation:

15

miles

35

miles

hour

=

5

⋅

3

5

⋅

7

hours

=

3

7

hours

=

0.43

hours

The sales tax for an item was $9.80 and it cost $490 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

2%

Step-by-step explanation:

Divide the tax by the pre-tax price

9.8/490 = .02 or 2%

Use the Distributive Property to expand 6​(8x ​- 2y) -3.

Answers

Answer:

48x − 12y−3

Step-by-step explanation:

Distribute:

(6)(8x) + (6)(−2y) + −3

48x + −12y + −3

48x − 12y−3

Arianna went to the store to buy some chicken. The prince per pound of the chicken is $5.75 per pound and she has a coupon for $3 off the final amount. With the coupon how much would arianna have to pay to buy 4 pounds of chicken

Answers

Answer:

$20

Step-by-step explanation:

If you buy 4 pounds of chicken, you multiply 5.75 times 4. That gives you $23. You have a coupon for $3 off the final amount. $23-$3 = $20.

Answer:

20

Step-by-step explanation:

(5.75x4)-3

23-3

20

Write the equation in standard form x=4y+8

Answers

Answer:

guy above is right

Step-by-step explanation:

x -4y = 8

Answer:-

x-4y = 8 ———is a linear eq in standard form

Explanation:-

Ax+By=C
From the above equation; x-intercept or y-intercept can be easily solved.


Hope it helps hv a great day :)

LOL PLS HELP ME WITH THIS AND EXPLAIN IT , BRIANLY POINTS TO WHOEVER DOES!

Answers

Answer:

french, history, math

Step-by-step explanation:

Reasoning:

If you look at it you can see that french is 11/12 so french is definitely right

so you can eliminate the third question.

Now history is on both of the two answers that could be right.

the last one is math

pls brainliest

“Calculate the lengths of the 2 unlabeled sides” help me pleasee

Answers

Answer:

It will be 6.5 for JG and 9.19 for JH

Step-by-step explanation:

Hope this Helped

Convert 1/8 into a decimal and percentage.
A.18 and 18%
B.125 and 125%
C.1.8 and 180%
D.125 and 12.5%

Answers

I believe it is D.

brainiest if correct? thnx

Does the equation represent a linear or nonlinear function? Explain.

y = x + 5

Answers

Answer:

Below.

Step-by-step explanation:

A linear function contains a variable of the first  degree  only - for example f(x) = 2x - 1 or f(z) = 3z.

So y = x + 5 is linear.

Need help plz!!!
000000000000000000000

Answers

Answer:

B.

Step-by-step explanation:

An input can ONLY have 1 output (meaning the input cannot have multiple outputs) or else it's not a function. Different inputs can have the same outputs.

The sum of 28 and p is equal to 30 what number represents p

Answers

Answer:

2

Step-by-step explanation:

28 + 2 = 30

Answer:

p = 2

Step-by-step explanation:

28 + p = 30

Subtract 28 from both sides

  p = 30 - 28

  p = 2

x to the power of 3 plus x to the power of 2 plus x​

Answers

Answer:

x(x²+x+1)

Step-by-step explanation:

im not surewhat answer u want but take note this is FACTORIZATION

Can someone plz help

Answers

Step-by-step explanation:

A list of all possible outcomes in a given event is:

Sample space

what one is it? help pls

Answers

Answer:

(-2, 0)

Step-by-step explanation:

the y-intercept is (-2, 0), therefore that the solution.

PLEASE HELP. WORTH 100 POINTS !


if you take points and leave without answering I will report you

Answers

Answer:

6) 60°

7) 24.25°

8) 28°

Step-by-step explanation:

I’m not 100% sure but hope this helps.

Answer:

6. u = 60

7. 24.25°

8. 28°

Step-by-step explanation:

6. First we know that a triangle is 180 degrees. So we would do 30+90+u=180

120+u=180

-120    -120

u = 60

Does anybody know the answer??

Answers

Answer:

7/16

Step-by-step explanation:

You keep adding 1/16

7/16 I did this before

find m<RQT please help​

Answers

Answer:

Step-by-step explanation:

i need help please and thanks

Answers

Answer:

Step-by-step explanation:

1.) 5

2.) 32

3.) 14

4.) 16

It's the associative property. One way to remember the associative property is that the numbers don't change, but the location of the numbers change.

ok what is this 2(x +3)

Answers

2(x + 3)

Multiply the 2 by x and by 3

= 2x + 6

Answer:

2(x+3)=15     x=6

Step-by-step explanation:

Share 350 in the ratio 3:7?

Answers

Answer:

Step-by-step explanation:

ccording to the question

3x + 7x = 350

10x =350

X = 35

Therfore

3x = 35 *3 = 105

7x = 35 *7 = 245

Follow me and mark me as a brainliest

Step-by-step explanation:

let ratio be 3xand7x

now,

3x+7x=350

10x=350

x=350/10

x=35

then,

3x=3×35=105

7x=7×35=245

hope it helps..

car travels along the highway to Yuma at a steady speed when it begins it is 400 miles from Yuma after 7 hours it is 50 miles from Yuma which function describes the cars distance from Yuma ​

Answers

Answer:

b) y = 50x + 400

Please give brainliest! trying to get my rank up!

Step-by-step explanation:

Answer:

B. Y=50x+400

Step-by-step explanation:

100 POINTS!!!! Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
ITS NOT n^9

Answers

Answer: Must be n13 the 13 would be like smaller but i dont know how to do that

Step-by-step explanation:

Answer:

n^13

Step-by-step explanation:

i dont know if this is right? is n6 = n to the square root of 6

Please help!!! I need help on question 3!!! You can have these points i just got for it. (57 points)

Answers

Answer:

140 in.³

Step-by-step explanation:

The volume is base x width x height. Split the shape into two parts: 1. 2x4x5 and 2. 5x5x4. 1 is 40 inches in volume. 2 is 100 inches in volume. Add 100 + 40 to get 140.

Hope it helps!

Help=10pts
5,6,7,and 8 plz

Answers

Answer:

number 5:4/12

#6: 25/45

#7: 26/44

#8: 52/30

Step-by-step explanation:

Answer:

5) 1/3=x/12

12=3x

3x=12 (divide both sides)

12 divided by 3 = 4

therefore, x = 4

6) 5/9=25/y (cross multiply the numbers)

after cross multiplying you should get: 5y=225

divide both sides to get 45

therefore, y = 45

7) 26/z = 13/22 (cross multiply numbers)

after cross multiplying, you should get: 572=13z (swap the numbers)

after swapping the number, you should get: 13z=572 (divide both sides)

after dividing you should get 44

therefore, z = 44

8) b/30 = 2.6/1.5 (simplify expression)

after simplifying you should get: b/30=26/15 (cross multiply after)

after cross multiplying you should get: 15b = 780 (divide both sides)

after dividing both sides, you should get: 52

therefore, b = 52

Hope this helps:)!

A bag contains 6 red marbles , 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow marble from the bag?

Answers

Answer:

1/3

Step-by-step explanation:

each color takes up 1/3 of the bag

Answer:1/3

Step-by-step explanation:6x6x6=18 divided by 6=3

✨ Easy points for those who are good at finding slope ✨
( The question is “Which graph matches the following equation )

Answers

Answer:

c

Step-by-step explanation:

plot the y intercept, which is 2 at (0,2). Then use do rise/run, which is 1/2. go up one time, then to the right two times.

What is the product of (7/8) X (-16)?​

Answers

-14 is the product of those numbers

CAN SOMEONE PLZ HELP ME

The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist fills n cavities, what will be the cost of the visit to the dentist?

Write your answer as an expression.

Answers

Answer:

The expression for the total cost of the visit to dentist is T = 50 + 100n .

Step-by-step explanation:

As given

The price of a visit to the dentist is $50.

If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist n cavities .

Let us assume that the total cost of the visit to dentist be T.

Than the expression becomes

T = 50 + 100n

Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .

Help need badly please

Answers

Answer:

6

Step-by-step explanation:

subtract 2 from2 equal zero

add 2and 4 together get six

zero divided by any non-zero number gives zero

multiply 3 times 4 gets 12

0+12/2

divide 12 by 2 equal six

0+6

zero 0 and 6 to get 6

6

Help me with this FOIL method.

Answers

So u have got a quadratic. Two numbers which times together to give -35 and + to give 2 are -5 and 7 so in the bracket it would be (p-5)(p+7)
Other Questions
Please help!In my science textbook I see a word in bold print, but I don't know what it means. What text feature should I look for to find the definition?A indexB sidebarC captionD glossaryIn the same science textbook, I want to find all the specific pages that discuss MOLECULES. Which text feature would I find that information?A table of contents B index C glossaryD Headings Im super confused on this problem PLEASE HELP! Luisa earns $19 for walking 4 dogs. How much would she earn for walking 7 dogs? Need help ASAP please and thanks The selling prices ondistributed with a mean of $221,000 and a standard deviation of $30,000. Please help ! Ill mark you as brainliest if correct 6.ribbonAASON120 NTwo teams of students are competing in a tug-o-war contest, as shown in thepicture above. How does the ribbon move? HELP ME QUICK! ASAP! A stock clerk is arranging a case of 24 bottles of shampoo on a shelf. Each bottle contains 375 milliliters of shampoo. How many liters of shampoo do all bottles contain? Show your work.PLEASE SHOW UR WORK LIKE HOW U GOT IT what's the radius plz help me Find a. Round to the nearest tenth. Why shouldnt contact sports be banned?? Write 4-5 reasons Plzz help Ill mark brainliest How many times does 4 go into 7 PLZ HELP ASAP !!! I WILL MARK YOU BRAINLIEST!!! 1.) A trader named _____ was hired as a guide by Lewis and Clark, and he was married to a Shoshone girl named _____ , who was also hired as their interpreter. 2.) The Lewis and Clark Expedition to Oregon was officially called the ____ , and was led by ____ . What is the most important thing to Jerry at the beginning of the story? "President Cleveland"Question 1 options:A. helping his mother, father, and siblingsB. doing well in schoolC. working to save money for his familyD. collecting cowboy cards Explain economic aspects compare how one's social status affected opportunities for men and women and how one's gender or age affected his or her life in ancient Rome .(think government, jobs, citizenship, school, position in the household Plzzz help will give brainliest Finish the story. 300 words or lessWhen woke I up I was completely alone. The streets were totally empty... Fatima kicked open the door of the classroom and strode in like ageneral on her way to inspire the troops. She high-fived Billy on her wayto her desk and then plopped down in her seat. After that, sheslouched and started drumming on her textbook with two pencils.What does the dialogue in the passage most clearly reveal about Fatima?A. She is caringB. She is evil.C. She is bold.D. She is artistic Given ---AB || ---RS Prove: QA/QR = QB/QS What is template and what is complementary strand? Please help me need ASAP