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
TO
Rewrite the following equation in slope-intercept form.
5x + 4y = 3
What expression is equivalent to 2 m plus m plus m
Answer: 2m+m+m is really the same thing as saying m+m+m+m, or 4m. Use whatever you like as the expression :)
Find the value of x in the triangle shown below. 6 10
What is the reciprocal of 14?
Reciprocal of 14 is 1/14.
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)
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.
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)
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.
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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
Answer:
96
Step-by-step explanation:
I just did it on a p 3 x
HELP WILL MARK BRAINLIEST ANSWERRRRRR IF GOTTEN RIGHT
Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))
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
How to write 4 508 300
in words?
Answer:
four million five hundred eight thousand three hundred
Step-by-step explanation:
your welcome!
Pls do 4 and 5 for me <3
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.
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 f(x) = 5 - x?, find f(3).
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
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??
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
Answer:B
Step-by-step explanation:
$825
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?
The amount Jim owes in interest if he pays it back in 4 years is $160
Calculating Simple interestFrom 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
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GEOMETRY PLEASE HELP!!! What is the surface area of the square pyramid shown if the height is 15 m?
Answer:
The answer is 180 cm.......
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
Answer:
vfd
Step-by-step explanation:
ddf
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.
Answer:
the volume of the rectangular swimming pool is 660 meters cubic
Step-by-step explanation:
you multiply 15x11x4
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
Beth wants to buy a radio for $36. She
gives the cashier $40. What is her
change?
Answer:
4
Step-by-step explanation:
Drag the boxes to match the answers
Answer:
hi
Step-by-step explanation:
this is too hard for me but i am sure u will get it :D
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
Answer:
en verdad no sé la respuesta de esta pregunta
What is the probability of choosing a heart or a spade from a deck of cards? Type your answer as a fraction.
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
Rearrange the equation so n is the independent variable.
3m-2n=12
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:
Plz help plz help will mark brainilest
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
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}
Answer:
2,6.8, the range is 2
Step-by-step explanation:
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
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
I need help with this math problem
(d) Work out
1
4 of 28 kg.
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]