Considering the equation of the parabola in vertex form, it is found that a number of -100 would have to be added to complete the square.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
In this problem, the equation is:
[tex]x^2 - 20x + 24[/tex]
Placing it in vertex form, we would have:
[tex](x - 10)^2 + 24 + c[/tex]
Applying the square of the subtraction:
[tex](x - 10)^2 = x^2 - 20x + 100[/tex]
Hence, a number of -100 would have to be added to complete the square.
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I Need help with this question
Answer:
600
Step-by-step explanation:
Answer:
80 sq ft
Step-by-step explanation:
this is a trapezoid and the formula for area is:
1/2 x height x (sum of the bases, which are parallel)
A = 1/2(10)(10+6)
= 5(16)
= 80 sq ft
Please help with this Algebra II question.
Answer:
omg im doing alg 2 next year. that looks so complicated im gunna scream
Step-by-step explanation:
True or false the median is always a number that is part of the data set?
Answer: Mostly. The middle number of the data is the median (set should be in order). If there are more than one middle numbers, then they are not the median but the average of those numbers are the median.
This is not necassary that average is always present in the listed information.
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
With a data set there are multiple number and always a middle whether or not its 2 numbers or 15. theres always a median.
Kylie spent $13.80 to buy 30 popsicles for her classmates. How much did each popsicle
cost?
Answer:
0.46
Step-by-step explanation:
13.80/0.46
just divide
Hey guys do any of you guys know the answer to this? I’m struggling with it and I still don’t know the answer plz help me! Thanks!
Answer:
steps below
Step-by-step explanation:
DE/WX = 15/35 = 3/7
DF/WY = 24/56 = 3/7
EF/XY = 18/42 = 3/7
ΔDEF similar to ΔWXY (sss) : 3 corresponding sides are in the same ratio
The circumference of a circle is double the perimeter of square having area 484 meter square . what is the area of the circle.
Answer:
وتؤوثتيمسوثاسز لا لا لا وا
Answer:
616 sq. m
Step-by-step explanation:
The area of a square = 484
(Side)2 = 484
side of a square = 22 m
According to the question,
circumference of a circle = perimeter of a square
2∏r = 4 × 22
r = 88 × 7/22 × 1/2
r = 14 m
Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m
You have the following coins in your pocket: 5 quarters, 6 dimes, 2 nickels, and 12 pennies. What is the probability you will draw a dime and then a
penny?
5 quarters is 125 cents 6 dimes is 60 cents 2 Nickels are 10 cents and 12 pennies are 12 cents all that in total is 207
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of drawing a dime and then a penny is 9/50.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of coins = 6 dimes + 2 nickels + 12 pennies = 20
Number of dims = 6
Number of nickels = 2
Number of pennies = 12
The probability of drawing a dime.
= 6/20
= 3/10
The probability of drawing a penny.
= 12/20
= 6/10
= 3/5
Now,
The probability of drawing a dime and then a penny.
= 3/10 x 3/5
= 9/50
Thus,
The probability of drawing a dime and then a penny is 9/50.
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The circumference of a circle is 6 2/7 miles. What is the area of the circle in square miles? ( Use 22/7 for pi.)
Answer:
solution given:
circumference of circle=6 2/7=44/7miles
2πr=44/7 miles
r=44/7×7/44=1 miles
now
area of circle=πr²=22/7×1²=22/7 =3 1/7 miles ²
The trapezoid shown above has an area of 21.66 square inches.
What is the total area of the shaded sections of the trapezoid?
A. 2.09 square inches
B. 4.18 square inches
C. 4.86 square inches
D. 8.74 square inches
Answer:
2.09 for only one triangle.
4.18 for two triangles.
Step-by-step explanation:
Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.
Have a great day!
Solve the following quadratic function
by utilizing the square root method.
Simplify your answer completely.
f(x) = 100 – 49x^2
Answer:
x = 10/7 or x = -10/7
Step-by-step explanation:
By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides
From what we have here, the coefficient of the x term is 0
Thus, we have it that;
0 = 100 - 49x^2
We can proceed to use the difference of two squares here;
Whereby;
a^2 - b^2 = (a-b)(a + b)
0 = (10-7x)(10+7x)
10 - 7x = 0 or 10 + 7x = 0
7x = 10 or 7x = -10
x = 10/7 or x = -10/7
Plss help!!!!! Ty!
What is the area of this semicircle?
Answer:
[tex]{\small{\boxed{\sf{\red{here's \: your \: solution...}}}}} \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =\pi \: r {}^{2} { \div 2} {} }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{radius = 8cm }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =(22/7 \times 64) \div 2}}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =100.57 \: cm {}^{2} }}}}}[/tex]
[tex]\small\mathfrak\green{Hope \: it \: helps \: \: .......| }[/tex]
Plot v6 on the number line
for the data set shown in the scatterplot what is the best approximation of the slope for the line of best fit a. 5 b. 10 c. 15 D. 20
Classify a triangle whose side lengths are 8, 16, and 18
A. Right Triangle
B. Acute Triangle
C. Obtuse Triangle
D. Isosceles Triangle
Answer:
Obtuse triangle
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.
An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.
An isosceles triangle is a triangle with two equal sides.
Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.
Since no two sides are the same hence it is not an isosceles triangle.
Also, 18² > 16² + 8²; therefore this is an obtuse triangle
Find the terms, coefficients, and constants of 4x+x+17
Answer:
17 and x=constant,
4x=coefficient
hope this helps
have a good day :)
Step-by-step explanation:
What expression is equivalent to m(n+p)
Answer:
mn + mp
Step-by-step explanation:
m(n + p) =
m(n) + m(p) =
mn + mp
Hope that helps! :)
-Aphrodite
The equivalent expression for the algebra m(n+p) is mn + mp.
What are equivalent expressions?Equivalent expressions are similar expressions that when being solved provide the same solution. Equivalent expressions are used widely in the expansion of algebraic equations.
From the given information, we have:
= m(n + p)
To determine the equivalent expression for the above algebraic equation, we need to expand the bracket as follows:
= m(n) + m(p)
= mn + mp
Learn more about equivalent expression here:
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Plz help meeee
y varies directly with x. If y = 15 when x = -18, find y when x = 1.6.
Answer:
-1.2
Step-by-step explanation:
I took the same direct variation test and got this one right
hope this helps!
Evaluate the expression
22 I think I’m so sorryrrrr
Answer:
9+6(2)2+4
15(4)+4
60+4
64
Help solve this please and thank you :-)
Answer:
-22
-14
6
10
18
Step-by-step explanation:
just plug in the x on the equation
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
Answer:
Surface Area of right cone
=[tex]\pi r(r+\sqrt{h^2 + r^2}[/tex]
[tex]440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\[/tex]
[tex]\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227} = 10.96in[/tex]
BRAINLIEST
A spinner has four lettered sections. The table shows the results of an experiment spinning the pointer.
Find the probability of spinning a R. You must write your answer as a fraction.
-table-
Answer:
one half
because if you times it you will get the fraction
Answer:
one half
Step-by-step explanation:
u can multiply it that u will get it answer
How do you find the mean, median, mode, and range of a set of numbers?
Answer:
You find the mean by adding all the numbers together then divide the sum of that by the amount of numbers there are. You find the median by looking at the middle number. You find the mode by looking at the most used number. You find the range by subtracting the highest and lowest numbers.
Step-by-step explanation:
say you have these numbers ( 8, 7, 17, 12, 0, 9, 11, 5, 8)
Mean:
8 + 7 + 12 + 17 + 0 + 9 + 11 + 5 + 8 = 77
77 ÷ 9 = 8.5
Median: 0
Mode: 8
Range: 17 - 0 = 17
Answer:
median is the middle number
but if the are two numbers in middle u add those two n divide by 2
range is the biggest number subtract lowest number
mean is total average divide by the number of data
mode is the number that appears many times
(no links or files) Solve this equation using the quadratic formula.
Answer:
x = 1/2,-3
Step-by-step explanation:
I think the answer is x = 1/2, -3.
i really really need help
Answer:
which one
Step-by-step explanation:
which one
Jersey village population in 1950 was 10,173. The population increases by 8.9% every 10 years. Predict the population in 2020
Answer:
Future Value= 18,478 people
Step-by-step explanation:
eGiving the following information:
Present value (PV)= 10,173
Growth rate (g)= 0.089 every 10 years
Number of periods (n)= 7
To calculate the population in 2020, we need to use the following formula:
FV= PV*(1 + g)^n
FV= 10,173*(1.089^7)
FV= 18,478 people
Adsila's recipe for peach frozen yogurt says to mix 3 cups blended peaches for every 2 cups vanilla yogurt. Which of these frozen yogurt recipes has a stronger taste than Adsila's?
Answer:
A 5 cups blended peaches for every 3 cups vanilla yogurt
B 8 cups blended peaches for every 5 cups vanilla yogurt
Step-by-step explanation:
Adsila’s recipe for peach frozen yogurt says to mix 3 cups blended peaches for every 2 cups vanilla yogurt. Which of these frozen yogurt recipes has a stronger
peach taste than Adsila’s? Select all that apply.
A 5 cups blended peaches for every 3 cups vanilla yogurt
= 5 : 3
= 5/3
= 1.67
Stronger peach taste
B 8 cups blended peaches for every 5 cups vanilla yogurt
= 8 : 5
= 8/5
= 1.6
Stronger peach taste
C 9 cups blended peaches for every 6 cups vanilla yogurt
= 9 : 6
= 9/6
= 1.5
Equal peach taste
D 10 cups blended peaches for every 8 cups vanilla yogurt
= 10:8
= 10/8
= 1.25
Lesser peace taste
E 14 cups blended peaches for every 10 cups vanilla yogurt
= 14 : 10
= 14/10
= 1.4
Lesser peach taste
Cups of Blended peaches : cups of vanilla yogurt = 3 : 2
= 3/2
= 1.5
All that applies includes:
A 5 cups blended peaches for every 3 cups vanilla yogurt
B 8 cups blended peaches for every 5 cups vanilla yogurt
A/B
Step-by-step explanation:
Please please help will give brainliest
Answer:
am really and surely 34ca6
What is the largest number that divides 42 and 90
Find the volume of the solid. NO LINKS PLEASE HELP
Answer:
Use multiplication (V = l x w x h) to find the volume of a solid figure.
Step-by-step explanation:
Which expression is not a polynomial?
Answer:
B.
Step-by-step explanation:
For an expression to be a polynomial , it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
B
Step-by-step explanation: