A rectangular frame has length (x+2) units and width (x-2) units. If the area is 96 square units, what is the value of x?
Answer:
x=10
Step-by-step explanation:
according to the question
(x+2)(x-2)=96
=>x^2-4=96
=>x^2=96+4
=>x^2=100
=>x=√100
Therefore
x=10
x=-10
As width and length can't be negative
So x=10
Width=10-2=8
Length=10+2=12
12×8=96 (proven)
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the area of a rectangle is defined by multiplying the length by the width.
[tex]A=l\times w[/tex]Given
rectangular frame length = l = (x+2) unitsrectangular frame width = w = (x-2) unitsArea = 96 square unitssubstituting all the given values in the formula to find the value of x.
[tex]A=l\times w[/tex]
[tex]96=\left(x+2\right)\times \left(x-2\right)[/tex]
[tex]96=x^2-4[/tex]
[tex]x^2-4=96[/tex]
subtract 96 from both sides
[tex]x^2-4-96=96-96[/tex]
[tex]x^2-100=0[/tex]
[tex]x^2=100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{100},\:x=-\sqrt{100}[/tex]
[tex]x=10,\:x=-10[/tex]
Putting x = -10 in the length and width will make the length and width negative, which can not be possible.
i.e.
length = l = x+2 = -10+2 = -8 units
width = w = x-2 = -10-2 = -12 units
Therefore, x=-10 must be excluded.
Now, putting the length of x = 10.
i.e.
length = l = 10+2 = 10+2 = 12 units
width = w = x-2 = 10-2 = 8
[tex]A=l\times w[/tex]
96 = 12 × 8
96 = 96
Therefore, the correct value of x = 10
The perimeter of a given rectangle is 44 inches. The length of the rectangle is two inches more than three times the width. What are the dimensions of the rectangle? Pls help
Answer:
W=5 L=17
Step-by-step explanation:
Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap
Answer:
2 2/7
Step-by-step explanation:
3 3/7 ÷ 3 = 1 1/7, 1 1/7 x 2 = 2 2/7
need help asap please!!!!!!1
Answer:4/3 I think
Step-by-step explanation:
3. The Lopez Family meets with a financial planner who advises them to save 15%
of their income per month for college savings for their children. They earn
$8,540 per month. How much will the Lopez family save each month for future
college expenses?
Answer:
1281
Step-by-step explanation:
15% of 8540=1281
Solve each equation. Write The properties that justify each step in the solution method
a. 3x - 8 = -7x + 18
Answer: I’m not sure how to explain so you look at what I did and if it is an equation then I did solve it but if I should did the two separately then tell me so I can do it , have a great and funny day :)
Step-by-step explanation:
3. Six neighborhood children - Leisha, Benito, Delia, Charlotte, Weldon, and Zina- were measured
yesterday. Weldon is taller than Delia but shorter than Zina. Leisha is taller than Benito but shorter than
Delia and Weldon. Benito isn't the shortest. Can you list the kids in order of height from tallest to shortest?
Please Help
WORTH 100 points!!!
Help me please, if you don’t know the answer or if slightly unsure please leave and don’t answer. Thank you.
Answer:
Step-by-step explanation:
1). Swap the order of equations.
2). Yes, system of equations are equivalent with the same solution.
29x = 46 ⇒ x = [tex]\frac{46}{29}[/tex]
y = - [tex]\frac{184}{29}[/tex] + [tex]\frac{203}{29}[/tex] = [tex]\frac{19}{29}[/tex]
( - [tex]\frac{46}{29}[/tex] , [tex]\frac{19}{29}[/tex] )
Please answer this correctly, and you'll recieve brainliest!
Which figure can be transformed into figure L by a 90° rotation clockwise about the origin followed by a translation 2 units down?
Question Options:
Question 2 options:
figure J
figure M
figure N
figure P
Answer:
J can be rotated
Step-by-step explanation:
Answer: Figure J
Clockwise and 2 units down
Will mark brainliest
Answer:
Step-by-step explanation:
We know she gets 4 more quarters so: q+4
She gives away 3 dime so: d-3
And the nickels stay the same: n
In total the expression would be: q+4+d-3+n
Hope this helps :D
PLS PLS PLS HELPPPP NO EXPLANATION NEEDED
Answer:
i believe its C
Step-by-step explanation:
Answer:
it is a little hard to see but yeah from what I can tell it looks like it would be C
Step-by-step explanation:
Hope this helps
Tell me if it is wrong
.Solve for x.
3x = -39
Answer:
x= (-13)
Step-by-step explanation:
You need to get x alone so you have to divide by 3 and -39/3 equals -13
Answer:
x = -13
Step-by-step explanation:
Divide both numbers by 3
3÷3 cancels each other out, leaving x
-39÷3= -13
what is 1/2 divded by 3/4
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1}{2}} \div {\dfrac {3}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1}{{\cancel{2}}}}\times {\dfrac{{\cancel {4}}}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {2}{3}}[/tex]
i really need help with this!!
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[tex]y = - \frac{1}{6} x - 1 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation.
f(x)=-(x-3)²+1 determine the vertex
Answer:
vertex = (3, 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 3)² + 1 ← is in vertex form
with vertex (h, k ) = (3, 1 )
can someone help me with this one.
i will give you a brainlist if you give the answers. thanks!
Answer:
A= 115
B= 65
C= 90
D= 65
E= 15
F= 90
Step-by-step explanation:
If you need explanations, tell me.
Please help thank you so much
Answer:
no
when you enter the point into the equation and solve, it does not work
Answer:
NO
Step-by-step explanation:
Please do 11 vote you brainiest
Answer:
ITS B
Step-by-step explanation:
PLS HELP AND HURRY ITS TIME
Answer:
5 units down
Step-by-step explanation:
Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
Answer:
A
Step-by-step explanation:
Thats what im pretty sure it is, you didnt provide a picture but i know that parallel slopes are equal to each other
Answer:
A Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Find the slope of the equation y=2x+5
Answer:
the slope is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Please help I really really need it
Answer:
Just give me a few min ill be right back to help :)
Step-by-step explanation:
PLEASE HELPP!! I WILL GIVE BRAINLIEST!
Answer:
1.5 white 2 blue
Step-by-step explanation:
) In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based
on the diagrams, which statement is true? (8.8D)
A. The value of x should be 75, because the angles shown in the diagrams are
congruent
B. The value of x should be 105, because the measures of the angles shown in the
diagrams add up to 180°.
C. The value of x should be 140, because the measures of the angles shown in the
diagrams should add up to 360and 360 - (110 + 110)
D. The value of x should be 70, because the measures of the angles shown in the
diagrams are both 70
Answer:
A. The value of x should be 75, because the angles shown in the diagrams are congruent.
Step-by-step explanation:
I did the test
EASY!!!! Answer this question correctly
Answer:
1st answer choice- You do not have enough jars because 20 jars will only hold 35 cups of applesauce.
Step-by-step explanation:
So 1.75 cups of applesauce fits in a jar. You have 20 jars so you multiply the cups of applesauce that can fit in the jar by how many jars you have. It will look like this: 1.75x20=? Now you multiply them and you get 35 which is how many cups of applesauce 20 jars will hold. You will have 5 cups of applesauce left over that cannot be transformed into a jar.
If you can please make my answer the brainliest that would be much appreciated. Thanks!
Answer:
You do not have enough jars because 20 jars will only hold 35 cups
Step-by-step explanation:
please please help me quickly
Answer:
1/4
Step-by-step explanation:
A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs, 61 yellow gumballs, and 30 pink gumballs.
What percentage of the gumballs are red?
Answer:
26%
Step-by-step explanation:
Wendy jarred 8 liters of jam after 2 days. How many days does Wendy need to spend making jam if she wants to jar 32 liters of jam in all? Assume the relationship is directly proportional.
Answer:
8 days
Step-by-step explanation:
it takes her two days to make 8 liters so for every 8 liters you add on two more days. 8:2, 16:4, 24:6, 32:8
Determine the interval in which this function is DECREASING
Answer:
4
Step-by-step explanation:
4
1. 133 1/3% of 36=?
2. 260% of 360=?
Answer:
1. 133 1/3% of 36=48
2. 260% of 360=936
Step-by-step explanation:
1. 133 1/3% of 36
=(133 1/3)% of 36
=(133/1+1/3)% of 36
=(399+1/3)% of 36
=(400/3)% of 36
=(400/3 *100) *36
=(400/300*36)
=4/3*36
=4*12
=48 Ans
---------------------------------------------------------------------------------------
2. 260% of 360
=260% of 360
=260/100*360
=26/10*360
=26/1*36
=936 Ans