The length of a side and corresponding height of a triangle are (x+3) and (2x-5) given that area of triangle is 20cm^2. Find the value of x

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )

Here A = 20, b = (x + 3) and h = (2x - 5) , then

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2

(x + 3)(2x - 5) = 40 ← expand left side using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , so x = 5


Related Questions

Find the value of x in the triangle shown below. 6 10

Answers

There is no picture on here
Can you please upload a picture or something?

HELP WILL MARK BRAINLIEST ANSWERRRRRR IF GOTTEN RIGHT

Answers

B hope that is correct answer

What is the area of the real object that the scale drawing models?
Scale factor: 1:4
Area =
6 square cm
Scale drawing
Object
O A. 24 square cm
O B. 96 square cm
O C. 64 square cm
O D. 48 square cm

Answers

Answer:

96

Step-by-step explanation:

I just did it on a p 3 x

(d) Work out
1
4 of 28 kg.

Answers

Step-by-step explanation:

[tex]here \: is \: your \: soution \\ \\ (1 \div 4) \times 28 \\ \\ 28 \div 4 = 7 \\ \\ 7 \: is \: your \: answer \\ \\ hope \: it \: help[/tex]

What expression is equivalent to 2 m plus m plus m

Answers

Answer: 2m+m+m is really the same thing as saying m+m+m+m, or 4m. Use whatever you like as the expression :)

How to write 4 508 300
in words?​

Answers

Answer:

four million five hundred eight thousand three hundred

Step-by-step explanation:

your welcome!

What is the probability of choosing a heart or a spade from a deck of cards? Type your answer as a fraction.

Answers

Answer:

26/52 or 1/2

Step-by-step explanation:

There are 13 cards per suit therefore there must be 26

Answer:

Step-by-step explanation:

13/52

Given f(x) = 5 - x?, find f(3).

Answers

Answer:

the answer is 2

Step-by-step explanation:

just plug in the 3 for x and perform the neccessary calculation.

Answer:

2

Step-by-step explanation:

if x is 2 that means 2 + 3 = 5

Give me brainllest Plz

Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? (1 gal= 3.785 liters)

Answers

Answer:

Carl buys 132.475 liters of water.

Step-by-step explanation:

Since Carl buys seven 5-gallon jugs of water multiply 7 by 5 to know how many gallons of water Carl bought in total.

7(5) = 35 Gallons

Now that you have the total amount of gallons of water Carl bought you have to convert 35 gallons to liters given that 1 gallon = 3.785 liters by multiplying 35 by 3.785.

35(3.785) = 132.475

So Carl bought 132.475 liters of water.

Though that is the answer based on what is given a gallon is actually equal to 3.78541 liters so the exact answer would be 132.489 liters of water.

Plz help plz help will mark brainilest

Answers

Answer:

BC=4

Step-by-step explanation:

Use the distance formula

[tex] \sqrt{} (7 - 3) ^{2} + (2 - 2) ^{2} [/tex]

[tex] \sqrt{16} [/tex]

4

What is the reciprocal of 14?

Answers

Reciprocal of 14 is 1/14.

Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)

Answers

I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong

A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.​

Answers

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)

Answers

Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.

For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.

When we subtract 28 from 16, we get -12.

But if we add 28 to -12, we get 16 again.

So we have two values of x that satisfy the equation: x = -4 and x = 4.

b. We can solve the equation by adding 28 to both sides:

(-4)² - 28 + 28 = 8 + 28

Simplifying, we get:

(-4)²= 36

Taking the square root of both sides, we get:

-4 = ±6

So the two solutions are:

x = -4 + 6 = 2

x = -4 - 6 = -10

Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.

To learn more on Equation:

https://brainly.com/question/10413253

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1
2
3
4
5
6
8
g
10
CO
2a
Which expression is equivalent to 364a6b7c9?
bo(142?b°c
4a?b?c°(16)
Baºb°c" (Vb0
Ba?b%cº(PVD

Answers

I believe the answer should b the second option :)

Drag the boxes to match the answers

Answers

Answer:

hi

Step-by-step explanation:

this is too hard for me but i am sure u will get it :D

Pls do 4 and 5 for me <3

Answers


yuhhdhisjehe yup yup yup yup yup yup

TO
Rewrite the following equation in slope-intercept form.
5x + 4y = 3

Answers

4y = -5x + 3? not really sure though
the answer is y= -5/4x+3/4

In QRS the measures of S = 90° and the measures of Q = 64° and RS = 16 feet find the length of QR to the nearest 10th of a foot

Answers

Answer:

vfd

Step-by-step explanation:

ddf

Beth wants to buy a radio for $36. She
gives the cashier $40. What is her
change?

Answers

her change is $4
40-36=4

Answer:

4

Step-by-step explanation:

I need help with this math problem

Answers

There is the answer for it

11.) Jim took out a loan for $500. The
rate is 8%. How much does Jim owe
in interest if he pays it back in 4
years?

Answers

The amount Jim owes in interest if he pays it back in 4 years is $160

Calculating Simple interest

From the question, we are to calculate how much Jim owes in interest

Using the simple interest formula,

I = PRT

Where I is the interest

P is the principal

R is the rate

and T is the time

From the given information,

P = $500

R = 8% = 8/100 = 0.08

T = 4 years

Putting the parameters into the formula, we get

I = 500 × 0.08 × 4

I = $160

Hence, the amount Jim owes in interest if he pays it back in 4 years is $160

Learn more on Simple interest here: https://brainly.com/question/20690803

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Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.

Answers

Answer:

0.555km p/h

shown as 555m  p/h

Step-by-step explanation:

First we convert km to meters

6k = 6000m

Time = distance / rate.

20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr

then 3.33 / 6 = 0.555 km  = 555 meters p/h

Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))​

Answers

Answer:

given;

f(x) = 5x+3

g(x) = x²-3.

Step-by-step explanation:

a f(4)=5×4+3=23

b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12

C). g( f (2))=g(5×2+3)=13²-3=166

Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was −$48. How much was one late fee??

Answers

Answer:

$12

Step-by-step explanation:

His 4 late fees took -48 so I just divided the amount to the number of fees

A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200

Answers

Answer:B

Step-by-step explanation:

$825

GEOMETRY PLEASE HELP!!! What is the surface area of the square pyramid shown if the height is 15 m?

Answers

Answer:

The answer is 180 cm.......

Rearrange the equation so n is the independent variable.
3m-2n=12

Answers

Answer:

[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]

Step-by-step explanation:

we are given a equation

we want to make n the independent variable

to do so

move -2n to right hand side and change its sign:

[tex] \displaystyle 3m = 12 + 2n[/tex]

divide both sides by 3:

[tex] \displaystyle m = \frac{12 + 2n}{3} [/tex]

further simplification is needed:

[tex] \displaystyle m = \frac{12 }{3} + \frac{2n}{3} [/tex]

[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]

now m depends on n and n can be any value so we have rearranged n to independent variable

and we are done!

Answer:

M= 3/2n+4

Step-by-step explanation:

calcula la altura de la torre latinoamericana hacia al colocarse a 104 metros de su base se ve la punta de la antena con un ángulo de 60 grados​

Answers

Answer:

en verdad no sé la respuesta de esta pregunta

Select the correct answer from each drop menu. A functions with the domain {2,3,4} has a specific range. Determine the function and its range. The function with the domain {2,3,4} is, and it's range is
Domain {2,3,4} is 3x+2 or x+1
range is {2,6,8} or {8,11,14}​

Answers

Answer:

2,6.8, the range is 2

Step-by-step explanation:

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