Answer:
Step-by-step explanation:
the area of this rectangle is
(10 + 2x)(8 + 2x) = 168
80 + 20x + 16x + 4x² = 168
4x² + 36x = 88
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,
Area = Length × Breadth
168 inches² = (10+2x) inches × (8+2x)inches
168 = (10+2x)(8+2x)
168 = 80 + 20x + 16x + 4x²
0 = 80 + 20x + 16x + 4x² - 168
0 = 4x² + 36x - 88
4x² + 36x - 88 = 0
4x² + 36x = 88
Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.
Learn more about Quadratic Equations:
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A (2, 2)
b (0,3)
c (2, 4)
rhombus abcd has the coordinates listed. find the coordinates of point d.
es )
a)
)
(4.3)
b)
(3,4)
c)
(3.3)
d)
(4.4)
Answer:
I think its 3,4 maybe
Step-by-step explanation:
try it out but I'm not sure
is 56/72 and 7/9 proportional
Answer:
Yes.
Step-by-step explanation:
7 x 8= 56
9 x 8= 72
56/72 is proportional to 7/9
Answer:
[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional
Step-by-step explanation:
In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.
Help please :3
What is the function rule for the table below?
_5×1_5=_10
_5×2_5=_15
_5×3_5=_20
Anyone know the answer
so the equation is 1 1/3 ÷ 1 2/5
simpilify it
4/3 ÷ 7/5
since its division, you want to make it multiplication to you switch the fractions around.
you get the equation 3/2 * 5/7
which is 15/14
that converted to a improper fraction is 1 1/14
answer: 1 1/14
Find the height of a triangular pyramid with a volume of 13 m and a base area of 7 m
Answer:
h = 0.79591836734694 m
Step-by-step explanation:
h = height
s = slant height
a = side length
P = perimeter of base
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Suppose the two-variable equation
y = 600 + 10x
models the cost y of manufacturing x flash drives. If the company spends $9000 on manufacturing flash drives, then to find how many drives were manufactured, we solve the equation
Answer:
The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10
Step-by-step explanation:
[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]
[tex]y = 10[/tex]
What is the answer to this?
Answer:
2
Step-by-step explanation:
i was told it was correct and 3x1=3 6 divided by 3=2
is how i figured it out.
HELP WITH EXPLANATION, NO LINKS
Answer:
3x³ and 6x³, y and 7y
Step-by-step explanation:
Like terms have variables with the same exponents. This fact eliminates choices A, C, D.
The like terms are ...
3x³ and 6x³, 7y and y . . . . . . choice B
Question 17/23
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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
Convert the equation to standard form:
f(x) = 2(x - 1)(x + 4)
Answer:
2x^2 - 10x - 8.
Step-by-step explanation:
f(x) = 2(x - 1)(x + 4)
= 2(x^2 - x - 4x - 4)
= 2(x^2 - 5x - 4)
= 2x^2 - 10x - 8.
A rectangular bathroom mirror is 4 feet wide and 2 feet tall. What is its perimeter?
Answer:
The perimeter is 24 feet :]
hope this helps! <33
Answer:
12 feet
Step-by-step explanation:
The perimeter of a rectangle is just the sum of all the sides. There are four sides, two that represent the width, and two that are the length. Basically, the easiest way for us to find the perimeter of this shape is to add together the length and the width 2 times.
4 + 2 + 4 + 2 = 12
So, the perimeter of the mirror is 12 feet! I hope this helps! Have a lovely day!! :)
What is the volume of this figure?
Enter your answer in the box.
ft³
Answer:
96
Step-by-step explanation:
L=6
W=2
H=8
LxWxH=8x6x2=96
8x6=48
48x2=96
Answer:
76
Step-by-step explanation:
the answer is 76 because I took the test
HELP ASAP ILL MARK BRAINLIST
1.State whether ∆RST is similar to ∆UVW and why. Show your work and explain what postulate or theorem you used to solve.
Answer:
Yes they are similar
Step-by-step explanation:
Divide the length VW by ST
24 ÷ 16 = 1.333
Divide the length VU by SR
16 ÷ 12 = 1.333
→ As they have the same scale factor, they are similar.
Answer:
Step-by-step explanation:
First when triangles are similar angles are congruent and the side ratio are the same .
18/24=12/16=m/32
3/4=3/4=m/32
3/4=m/32
4m=96
m=24
Identify the value of y
(5y-6) = (2y×9)-32
Hey there!
Let's solve your equation step-by-step.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
[tex]\fbox{5y+−6=18y+−32}[/tex]
[tex]\fbox{5y−6=18y−32}[/tex]
Step 2: Subtract 18y from both sides.
[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]
[tex]\fbox{−13y−6=−32}[/tex]
Step 3: Add 6 to both sides.
[tex]\fbox{−13y−6+6=−32+6}[/tex]
[tex]\fbox{−13y=−26}[/tex]
Step 4: Divide both sides by -13.
[tex]\fbox{−13y/−13 = −26/−13}[/tex]
[tex]\fbox{y=2}[/tex]
Answer:
[tex]\fbox{y=\fbox{2}}[/tex]
solve linear systems by multiplying
3x+y=-15
2x-3y=23
Answer:
x=-2, y=-9
Step-by-step explanation:
Given that:
[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]
Solution:
[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]
[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]
Simplify to:
[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]
[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]
[tex]\mathrm{Substitute\:}y=-9[/tex]
[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]
Solve:
[tex]x=-2[/tex]
Hence the answer is:
[tex]x=-2,\:y=-9[/tex]
~lenvy~
Determine the length of a chord whose central angle is 90 degrees in a circle with a radius of 15 inches
Answer:
14.6
Step-by-step explanation:
Can you help me with this
Answer:
the anwer is d
I did the math
sue got to the library at 10:30 am.
she stayed at the library for 40 minutes
then she walked home.
sue took 1[tex]\frac{1}{4}[/tex] hours to walk home
at what time did sue get home?
Answer:
he arrived at 11:05 am.....
Answer:
12:25pm
Step-by-step explanation:
10:30 + 40 minutes = 11:10
11:10 + 1hr and 15 mins = 12:25
What is the value of log subscript 7 baseline 343? –3 negative one-third one-third 3
The value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
It is given that the [tex]\rm log_7343[/tex]
It is required to find the value of [tex]\rm log_7343[/tex]
What is the logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have [tex]\rm log_7343[/tex]
We know the logarithm properties that:
[tex]\rm log_ac^n = n\times log_ac[/tex]
[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]
We can write [tex]\rm log_7343[/tex] as
= [tex]\rm log_77^3[/tex] (∵ 343 = [tex]7^3[/tex])
= [tex]\rm 3log_77[/tex] [tex]\rm (log_ac^n = n\times log_ac)[/tex]
= 3 [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]
Thus, the value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
Learn more about the logarithm here:
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Answer:
D
Step-by-step explanation:
how many more books would eric have to read to match the same number of books as mark?
Answer:
30 books
Step-by-step explanation:
Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30
the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle. pls help. solve using applications of quadratics
Answer:
[tex]2m[/tex]
Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:
[tex]A = \frac{1}{2}bh[/tex]
They give us the area as [tex]6m^2[/tex], so let's include it in the equation.
[tex]6 = \frac{1}{2}bh[/tex]
Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that [tex]h = b-4[/tex]
So replace [tex]h[/tex] in the equation with [tex]b-4[/tex].
You will now get:
[tex]6 = \frac{1}{2}b(b-4)[/tex]
Now we can work towards solving. Let's get simplifying.
[tex]12 = b(b-4)\\12 = b^2 - 4b\\[/tex]
bring everything to one side so we can make a quadratic and factor:
[tex]0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2[/tex]
We get that [tex]b=6[/tex].
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that [tex]h = b - 4[/tex], so to find h, we just sub in our b value into that.
[tex]h = (6) - 4 = 2[/tex]
We find that [tex]h=2[/tex]
Round.............100pts
Answer: ≈ 4.
Step-by-step explanation: In order to solve this, you need to turn this into an addition problem. In order to do that, we need to transform the 3 into a fraction:
3/1 + 175/349.
Solve:
3/1 + 175/349 = 3.50143266 or ≈ 4.
Have a great day! :)
Answer:
4
Step-by-step explanation:
Convert the mixed fraction into decimal form using a calculator
[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]
Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).
What are the two conditions that an asset of a business needs to fulfill?
Answer:
✒️Answer:Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.
Step-by-step explanation:
#CarryOnLearning[tex]watch.some.anime[/tex]
one side of parallelogram is 16 cm and its perimeter is 48 cm find the length of the remaining side
Step-by-step explanation:
a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).
so, when one side is 16 cm, then there is a second side with 16cm.
the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.
and we know the length of one of these pairs : 2×16 = 32 cm.
what is left for the second pair of sides ?
48 - 32 = 16 cm
so, these 16 cm is the sum of a pair of equally long sides. that means their are
16/2 = 8 cm
long each.
so, the length of the "remaining" side is 8 cm.
Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
Answer:
96 inches
Step-by-step explanation:
The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.
PLEASE HELP ASAP ONLY 2 QUESTIONS
Answer:
1. D, 2. B
Step-by-step explanation:
1. D. 1.15b
2. -4(x + 2) - 1/2(2x - 6)
(-4x -8) - (x - 3)
B. - 5x - 5
Hope this helps :)
What is the volume of the rectangular prism?
Answer:
63 yd³
Step-by-step explanation:
1 cube = ⅓ of a yard
B = 7 cubes
H = 9 cubes
D = 3 Cubes
Volume = BHD
Volume = 3 x 9 x 7
9 x 7 = 63
63 x 3 = 189
189 x ⅓ = 63.
What expression represents the volume of the prism, in cubic units? one-halfx3 x2 one-halfx3 three-halves x2 x3 x2 x3 3x2
The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
What is of volume of prism?Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.
[tex]V=A_b\times h[/tex]
Here, ([tex]A_b[/tex]) is the area of the base and (h) is the height of the prism.
The side of the base of the triangular prism is x units. Thus the area of the base is,
[tex]A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}[/tex]
The height of this prism is (x+2) units long. Thus, the volume of the prism is,
[tex]V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2[/tex]
Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
Learn more about the volume of a prism here;
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Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
whole thing right on edge
Simplify the following.
-
1. 3m - 2n + 5m
2. -b - b + 5
3. 50 - 9 - 8C + 5
-
Answer:
1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]
Step-by-step explanation:
Given the following questions:
[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]
To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.
Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]
Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]
Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]
Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."
Hope this helps.
Please help! I am confused.
Answer:
z = 180°
Step-by-step explanation:
First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.
S = (n-2)180
S = (6 - 2)180
S = (4)180
S = 720°
Next, make an equation adding all the interior angles and setting them equal to 720.
t + t + 2t + t + t + 2t = 720
8t = 720
8t/8 = 720/8
t = 90°
Finally, find the measure of angle z by substituting 90° for t.
z = 2t
z = 2(90)
z = 180°