Answers
9514 1404 393
Explanation:
Both sides of the equation are squared.
[tex]\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}[/tex]
I like this better without fractions, so would multiply by 16 at this point (or earlier).
x^2 -40x +144 = 0
(x -36)(x -4) = 0
x = 4 or 36 . . . . . . x = 4 is extraneous
The solution is x = 36.
Related Questions
Explain two different ways to find a new value after an original value is increased by 30%.
Answers
Answer:
Frequently, we know the new amount and the percent change and need to know the original amount. We found that a $600 TV on sale for 30% off, cost $420 on sale. We might think, that to find the original cost of the TV that has a sale price of $420 after a sale of 30% off, we could just take 30% of the $420 cost and add it back to the $420 to find the original cost.
30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.
Or, 130% of $420 is 1.3($420) = $546.
Notice that this is not the $600 original list price with which we started.
Step-by-step explanation:
x 2x=27 when y=9 and z=2
Answers
Which statement is correct?
N
H
#
w
T
А.
ATNW - AHCL
В.
ANWT ACHL
C
ANWT 2 ALCH
D
AWTNAHCL
Answers
Answer:
b
Step-by-step explanation:
n hc l
a n w t
yan lng po Ang Alam k
needed the correct answer
20 points
Answers
Answer:
30
Step-by-step explanation:
pretty sure it is that
Camila drew a triangle with a side that is 24 inches long and a side that is 18 inches long. Which of the following could be the length of the third side of the triangle that Camila drew? Select THREE that apply
A
42 inches
B
40 inches
C
18 inches
D
7 inches
E
6 inches
F
5 inches
Answers
Answer:
The answer is a b and there is one more but I don’t know it I’m sorryyyy
Step-by-step explanation:
60° 60° y=? (geometry)
Answers
Answer:
Y=90°Step-by-step explanation:
You could tell because triangles like this always have a right angle (which is a 90° angle)
If there is a bisector in the middle of the triangle that is perpendicular to the base, then it will be a right angle
At Jonathan's school, there are 30 seventh graders participating in the school play. Of the students in the seventh grade, 60% are not participating in the school play. How many seventh graders at Jonathan's school are not participating in the school play?
Answers
Answer:
75
Step-by-step explanation:
If 30 students represent 40% of the class, we can divide 30 by .40 to get 75.
SOLVE THE INEQULITY 4X-7<5
Answers
Step-by-step explanation:
the answer is
4x-7<5
4x<12
x<3
Which inequality represents all values of x for which the product below is
defined
Answers
Answer:
D
Step-by-step explanation:
D is the only option where there's always 0 or positive integers inside the radical. The square root of a negative number is imaginary.
what is the value of x? 135° 95°
Answers
Answer:
50
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
180-135=45
45+95=140
180-140=40
Geometry please help thanks
Answers
Find the measure of MN. please help!!!!
Answers
Given:
A circle with center O.
[tex]m\angle MOP=45^\circ, m\angle PON=85^\circ[/tex].
To find:
The measure of arc MN.
Solution:
We know that,
[tex]m\angle MON=m\angle MOP+m\angle PON[/tex]
[tex]m\angle MON=45^\circ+85^\circ[/tex]
[tex]m\angle MON=130^\circ[/tex]
The central angles in equal to the measure of the corresponding arc.
[tex]Arc(MN)=m\angle MON[/tex]
[tex]Arc(MN)=130^\circ[/tex]
Therefore, the measure of arc MN is 130 degrees.
What is an equation of the line that contains the point (0, -5) and a slope of 1/4
Answers
Answer:
y=1/4x-5
Step-by-step explanation:
Answer:
y = 1/4x - 5
Step-by-step explanation:
y = mx + b is the equation of a straight line.
m = slope, b = y intercept. (y intercept is the point where the line of the graph crosses the y axis)
(0, -5) is the y intercept (if you were to graph this point, it would be on the y axis, fitting the previous description)
the slope is 1/4
replace each variable in the equation, and you get:
y = 1/4x - 5
please help, ill give you brainly :)
Answers
2 the answer is c
3 the answer is d
4 the answer is a
5 the answer is b
A box has a length of 8 centimeters, a width of 7 centimeters, and a height of 5 centimeters. What is the total volume of the box?
A 616161 cubic centimeters
B 969696 cubic centimeters
C 250250250 cubic centimeters
D 280280280 cubic centimeters
Answers
A house is losing value at a rate of 5.4% per year. In 2009, the house was worth $331,000. Find the value of the house in 2021.
Answers
Answer:
$169803
Step-by-step explanation:
Given data
rate of decrease = 5.4%
time = 2009-2021= 12years
P= $331,000
Let us apply the compound interest formula
A=P(1-r)^t----------------note the minus sign because this is a decrease
A= 331000(1-0.054)^12
A= 331000(0.946)^12
A= 331000*0.513
A=$169803
Hence the value in 2021 is $169803
The table, graph, and register receipt show the cost of pears at each of three different stores. For each store, the relationship between the number of pounds of pears and the cost is a direct proportion. What is the order from the least to the greatest cost per pound of pears? A Store A, Store B, Store C B Store B, Store A, Store C C Store C, Store A, Store B D Store C, Store B, Store A
Answers
Answer:
hM
Step-by-step explanation:
Use the distributive property to find the equivalent expression.
4(2 + 3v) = +
Answers
Answer:
8+12v
Step-by-step explanation:
Find the perimeter of the following figure:
a. 3a2+ 22a + 35
b. 8a + 24
c. 4a + 12
d. 3a2 +22a + 12
Answers
Answer:
B
Step-by-step explanation:
8a+24
10-x=5
What is X???I need help
Answers
10-x =5
-x= 5-10
-x = -5
x= 5
Answer : x=5Answer:
what the other person said
Step-by-step explanation:
Help please need the answer before 2:00
Answers
Answer:
y = (10/7)x
Step-by-step explanation:
Ok so this is a hard question but I believe the answer is y = (10/7)x
the solution to the equation?
Answers
add like terms :)
The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?
x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5
Answers
Answer:
use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5
Answer:
5
Step-by-step explanation:
21x+6y=42
7x+2y=14
Answers
For this case we have the following system of equations:
We multiply the second equation by -3:
Thus, we observe that the second equation is equivalent to the first, if we add both we get:
The equality is fulfilled. The lines are on top of each other.
Answer:
Infinite solutions
hahqjwjwowowowowk
Express the interval using inequality notation,
-4,5
Answers
Answer:
First you mark me Brainlyist
Step-by-step explanation:
Then you you use the intervol of I don’t know then you ask someone else
What is x/-3+20=30? Can someone pls help me
Answers
Answer:
x=510
Step-by-step explanation:
You can first combine like terms to get x/17=30
The inverse operation of division is multiplication so you can multiply by 17 on both sides to get your final answer: x=510
Explain how to use the distributive property to simplify: -2(x + 5) ?
Answers
Answer:
-2x-10
Step-by-step explanation:
Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.
[tex]\huge\bold{ANSWER:}[/tex]
-2x-10
[tex]\bf{EXPLANATION:[/tex]
Hi there!
Here's what the Distributive Property states:
a(b+c)=ab+ac
So, we take a number outside the parentheses, and "distribute" it.
In this case, we should distribute -2:
-2(x+5)
-2x-10 (a negative times a negative is a positive)
Hope it helps!
Enjoy your day!
Feel free to ask if you have any doubts! :)
[tex]\mathfrak{SilentNature~a.k.a.Sparkles}[/tex]
What is 4/9 x 5/7 x 1/2
Answers
Answer:
0.16
Step-by-step explanation:
4*5*1=20
9*7*2=126
20/126=10/63
Answer:
10/63
Step-by-step explanation:
First, let's solve 4/9 * 5/7. Multiply the numerator first- 4*5=20. The denominator is 9*7=63. So, this equals 20/63. Now we need to find 20/63 * 1/2. We can cancel out the 2 on the denominator and divide 20 on the numerator by 2. So, you get 10/63 * 1/1, which is 10/63.
jeffys law whats 2+2
Answers
Answer:
b
Step-by-step explanation:
Mr. Bayless invests $3500 in a savings plan. The savings account pays an
annual interest rate of 4.75% on the amount he put in at the end of the
year. How much will Mr. Bayless earn if he leaves his money in the savings
plan for 8 years and how much money will be in his savings plan at the end
of 8 years?
Answers
Answer:
Interest = $1330
Amount = $4830
Step-by-step explanation:
Given
Principal = $3500
Rate = 4.75%
Time T = 8 years
Interest =PRT/100
Interest = 3500*4.75*8/100
Interest = 35*4.75*8
Interest = $1,330
Hence the interest earned by Mr. Bayless is $1,330
Amount after 8years = Principal + Interest
Amount after 8years = 3500+1330
Amount after 8years = $4830
Hence the amount after 8years is $4830
