Let's factorise it :
[tex]\: {\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) }[/tex]
[tex]\: {\qquad \dashrightarrow \sf 10(10 + y) + [ - y(10 + y)] }[/tex]
Using distributive property we get :
[tex]\: {\qquad \dashrightarrow \sf {10}^{2} + 10y+ (- 10y - {y}^{2} ) }[/tex]
[tex]\: {\qquad \dashrightarrow \sf {10}^{2} \: \cancel { + 10y }\: \: \cancel{ - 10y } - {y}^{2} }[/tex]
[tex]\: {\qquad \dashrightarrow \sf 100 - {y}^{2} }[/tex]
Therefore,
[tex] {{{\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) = 100 - {y}^{2}}}}[/tex]
Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.
Answer:
20%
Step-by-step explanation:
$34 - $27.20 = $6.80
[tex]\frac{6.80}{34} = 0.2[/tex]
0.2 x 100 = 20%
:]
The percent of discount in the tag is, 20%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The price on the tag was $34, but Mia paid $27.20 before tax.
Here, The discount price = $34 - $27.20
= $6.8
Hence, The percent discount = 6.8 / 34 × 100
= 20%
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Given right triangle QRS, what is the value of sin(30o)?
Options
1. 1/2
2. √3/3
3. 2/1
4. √3/2
Answer:1/2
Step-by-step explanation:
I will give BRAINILEST!!! Answer both questions
Step-by-step explanation:
Formula for circumference is C= pi x d
So C= pi x 10 = 31.4 in
Area = pi x r^2
= pi x (4)^2
= pi x 16
= 16 pi
= 50.24 in^2
I will give brainliest
Find Volume of the cone
Answer:
2042.4
Step-by-step explanation:
V = πr² h/3
V= π r2h 3=π·102·19.53 ≈ 2042.4
Solve the equation
|X+2|+4 = 11
O X= 5
O no solution
O X=5,-9
O X= 7, -11
Step-by-step explanation:
it must have 2 solutions, as the absolute value makes negative and positive values equal.
so, 2 approaches : positive and negative.
1. positive
(x + 2) + 4 = 11
x + 6 = 11
x = 5
2. negative
-(x + 2) + 4 = 11
-x - 2 + 4 = 11
-x + 2 = 11
-x = 9
x = -9
so, the third answer (x = 5, -9) is correct.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
4.7 inches
Step-by-step explanation:
I believe the answer is 4.7 inches. Use pi * diameter to find the circumference, then multiply the circumference by 1/10 to find the outer perimeter of frosting for one slice of cake. Round that number to the nearest 10th.
Write 3c- 11c^4 - 6 + 5c^2 in standard form. Write degree of the polynomial.
Answer:
−11c4+5c2+3c−6 degree is 4
Step-by-step explanation:
Compare continuous functions f, g, and h, and match the statements with the function they best describe.
Drag each description to the correct location on the table.
This function has the
lowest y-intercept.This function has the
highest y-intercept.This function is decreasing
over the longest interval.This function is increasing
over the longest interval.
Answer:
One is wrong so double check
Step-by-step explanation:
complete the table fill the blanks
Answer:
-1=41
0=-8
1=-15
2=-22
so these are the answers
8x-2
19
Solve for x.
46°
11x+14
Answer:
x=+10
Step-by-step explanation:
the answer should be x=+10
Which graph represents the function?
f(x)=3√x-2
Answer:
The last graph
Step-by-step explanation:
So, what you do is plug in some points.
Let's try x = 0.
f(x) = 3[tex]\sqrt{0}[/tex] - 2 = -2
First point is (0,-2)
There is only one graph with this point at that is the last graph.
What is the distance between (4, 3) and (7, 3)?
Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is _____ of the original price. A. 84% b. 84. 5% c. 85% d. 85. 5%.
The purchase price of Wynona’s boots is 85.5% of the original price.
It is given that
The marked price of boots = $85.79
What is the percentage?The percentage is a relative value indicating the hundredth parts of any quantity.
Price after a discount of 10% = [tex]85.79 - 85.79*10/100 = 77.211[/tex]
Price after another discount of 5% = [tex]77.211-77.211*5/100 = 73.35[/tex]
[tex]\frac{PurchasePrice}{OriginalPrice}*100 =\frac{73.35}{85.79}*100 = 85.5[/tex]
Therefore, The purchase price of Wynona’s boots is 85.5% of the original price.
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a square has a side length of 6 inches it is enlarged and the ew side length is 18 inches what is the scale factor?
Answer:
3:1
Step-by-step explanation:
PLEASE I NEED HELP WITH THIS MATH QUESTION!!!! GIVE FULL DETAIL!!! 10 PTS
Step-by-step explanation:
for a function every valid x value must have exactly 1 y value. several x values can have the same y value assigned but never can a x value have multiple y values assigned.
the valid x values for m are -3. -2, -1, 1, 2, 3.
and indeed, every one of these values has exactly one y value out of the possible 1, 4, 9 values.
so, m is a function.
but the inverse function turns the meaning of x and y upside-down. x becomes y and y becomes x.
and now we see that for the inverse the x value of 1 has two assigned y values (-1, 1).
the same for 4 (-2, 2) and 9 (-3, 3).
so, the inverse is NOT a function.
Ms. Adler would like to put a border around the outside edges of her bulletin board. The bulletin board is shaped like a parallelogram. Borders are sold as 2-foot, 6-foot, 8-foot, and 12-foot rolls. Which roll must Ms. Adler buy in order to decorate her bulletin board?
Answer:
12 ft roll
Step-by-step explanation:
In a scale drawing, an airplane has a length of 35 centimeters. The length of the actual plane is 105 feet.
What is the scale of the drawing?
Answer:
The scale of the drawing is 1:3
Step-by-step explanation:
Hope that helps!
Area of a Rectangle
A rectangle hasa length of 2 centimeters and act of
18 centimetas What is the area of the rectangle in square meters
Emination Tool
y = 6x2+36x+59
What is the vertex form
Answer:
Step-by-step explanation:
Axis of Symmetry y=-6x^2+36x-12. y=−6x2+36x−12 y = - 6 x 2 + 36 x - 12 Rewrite the equation in vertex form.
Answer:
x=3
Step-by-step explanation:
What is the product of 6V3 and 8V30 in simplest radical form?
Answer:
144√10
Step-by-step explanation:
6√3 x 8√30
= 48√90
= 48 x 3 x √10
= 144√10
Answer:
[tex]144\sqrt{10}[/tex]
Step-by-step explanation:
[tex]6\sqrt{3} \cdot 8\sqrt{30}[/tex]
[tex]=6\sqrt{3} \cdot 8\sqrt{3 \cdot 10}[/tex]
[tex]=6\sqrt{3} \cdot 8\sqrt{3} \sqrt{10}[/tex]
[tex]=6 \cdot 8 \cdot\sqrt{3} \sqrt{3} \sqrt{10}[/tex]
[tex]=48 \cdot3 \sqrt{10}[/tex]
[tex]=144\sqrt{10}[/tex]
Make up an equation for a quadratic function whose graph satisfies the given condition. Use whatever form is most convenient. i. Has a vertex at (−2,−5). ii. Has a y-intercept at (0, 6). iii. Has x-intercepts at and (3, 0) and (5, 0). iv. Has x-intercepts at the origin and (4, 0). v. Goes through the points (4, 2) and (1, 2).
Answer:
yx6
Step-by-step explanation:
Four (4) cupcakes and three (3) milkshakes cost $23. Two (2) cupcakes and four (4) milkshakes cost $24. Calculate the cost of one cupcake and one milkshake.
Answer:
Step-by-step explanation:
Let the cupcake cost = c
Let the milkshake cost = m
4c + 3 m = 23
2c + 4m = 24 multiply this equation by 2
2(2c + 4m = 24)
4c + 8m = 48 Now put the first equation underneath this one
4c + 3m = 23 Subtract
5m = 25 Divide by 5
m = 25/5
m = 5
Use 2c + 4m = 24
m = 5
2c + 4*5 = 24 Combine
2c + 20 = 24 Subtract 20 from both sides
2c = 24 - 20
2c = 4 Divide by 2
c = 4/2
c = 2
Answer
cupcakes = $2.00Milkshakes= $5.00What is the value of x2 + 4 for x = 5?
Answer:
14
Step-by-step explanation:
all you have to do is substitute x , sooo
5(2) + 4
10 + 4
14
who ever get this right gits brainly
Answer:
24Step-by-step explanation:
23 and 6/7 rounds to 24. This is because 23 and 6/7 is to 24 than 23.Answer:
24 is the correct answer
Step-by-step explanation:
A data set has a maximum of 84, a minimum of 34, a median of 52. 5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set? The box will go from 44 to 64. A line dividing the box will be at 54. The left whisker will go from 34 to 52. 5. The right whisker will go from 44 to 84.
The statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.
What is box plot representation of data?Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
The values of the data set is given as,
The data set has a maximum of 84, The minimum of 34, a median of 52. 5, The upper quartile of 64, and The lower quartile of 44.The statement is true of the box plot of this data set has to be find out.
In a box plot, the quartile is the limit of the box plot. The values can be go from the upper quartile to the lower quartile in a box plot.
Here, the upper quartile of the box plot is 64 and the lower quartile of box plot is 44. Thus, it can go only from 44 to 64.
Hence the statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.
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Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114
HURRY!!!!!!!!!!!!!!!!!!!
Answer:
c i think
Step-by-step explanation:
Suppose that g(x)=f(x-4) witch statement best compares the graph of g(x) with the graph of f(x)?
A) The graph of G(X) shifted 4 units up
B) The graph of G(X) is shifted 4 units to the right
C) The graph of G(X) is vertically stretched by a factor of 4
D) The graph of G(X) is shifted 4 units to the left
Thanks from Austin⊕
What is the sum of the series
1830
2010
5400
5490
Answer:
I think 2010 that's my answer
The sum of series is 2010.
What is series?A series is "number of things that happens one after another and are of the same type or connected" .
According to the question,
2010
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Help me please!!!!!!
Answer:
Area = 1/10
Step-by-step explanation:
Since the Area of Triangle = 0.5*Base*Height
So, for our Problem
Base=3/5 km , Height=1/3 km
Area = 0.5*Base*Height = [tex]\frac{1}{2} *\frac{3}{5} *\frac{1}{3}[/tex]
Area = [tex]\frac{1}{2} *\frac{1}{5}=\frac{1}{10}[/tex] Square Kilometers
Lorena's backpack has a mass of 22,000 grams. What is the mass of Lorena’s backpack in kilograms? Lorena's backpack weighs___kilograms.
Explanation:
Divide by 1000 to go from grams to kilograms.
This is because 1000 grams = 1 kg.
kilo = thousand