Answer:
h(x)=(x-12)2 and g(x)=2
The vertex form of the equation of a parabola is y = (x + 7)2 + 13. What is the standard form of the equation? O A. y = 7x2 + 14x+ 62 O B. y = x2 + 43x + 32 O c. y = x2 + 7x + 13 O D. y= x2 + 14x + 62
Answer:
y = x^2 + 14x + 62
Step-by-step explanation:
y = (x + 7)^2 + 13 is to be rewritten in the form y = ax^2 + bx + c.
Note: Use " ^ " to denote exponentiation.
Expand y = (x + 7)^2, holding the constant term to be added on later:
y = x^2 + 14x + 49 + 13
Combining the constants, we get:
y = x^2 + 14x + 62 (which matches Answer D).
The center is (2, 5) and the radius is 9
Give me work plsss
Answer:
[tex](x-2)^2+(y-5)^2=9^2[/tex]
Step-by-step explanation:
We use the equation
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Now we plug in the numbers
(h, k) = center point (2, 5)
This would equal
[tex](x-2)^2+(y-5)^2=9^2[/tex]
Will mark brainliest.
What is pi?
Answer: 3.14159265358979.....
Step-by-step explanation:
Answer:
3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.
can someone help me please
Answer:
3 peanut 9 choc chip
Step-by-step explanation:
she has 3 peanut butter cookies and 9 chocolate chip cookies
After driving for 2 hours, Juan is 110 miles from his home. After driving 5 hours, he is 275 miles from his home. What is his average rate of change?
Answer:
392
Step-by-step explanation:
The average rate of change will be "55 m/h".
According to the question,
→ After 2 hours (t₁),
Juan is 110 miles (d₁) from his home.
→ After 5 hours (t₂),
Juan is 275 miles (d₂) from his home.
→ The average rate of change will be:
= [tex]\frac{d_1+d_2}{t_1+t_2}[/tex]
By substituting the values, we get
= [tex]\frac{110+275}{2+5}[/tex]
= [tex]\frac{385}{7}[/tex]
= [tex]55 \ m/h[/tex]
Thus the above is the right solution.
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Roadsign cast of shadow that is 4 feet tall at the same time a 6 foot man standing next to the sign cast a shadow of those 2.4 feet long right and solve a proportion to find how tall the sign is
Answer:
10 feets
Step-by-step explanation:
Given that:
Road sign shadow (Rs) = 4 feets
Height of man (Hm) = 6
Man shadow (Ms) = 2.4 feets
Height of road sign (Hr) = x
Height of road sign / shadow of road sign = height of man / shadow of man
Hr/Rs = Hm / Ms
x / 4 = 6 / 2.4
Cross multiply :
4*6 = 2.4*x
24 = 2.4x
x = 24 / 2.4
x = 10 feets
Hence, height of road sign = 10 feets
Which point is on the graph of a direct variation equation in which k = 0.4?
A) (10, 0.04)
B) (4, 10)
C) (10, 4)
D) (0.04, 10)
Which numbers are perfect cubes? Check all that apply.
3
64
81
125
999
3,000
Answer:
Answer is 125
Step-by-step explanation:
5^3= 5*5*5= 125
Answer:
64 and 125
Step-by-step explanation:
What is the y intercept 8th math
Simplify (- sqrt x-4)^
Answer:
x-4
Step-by-step explanation:
A negative base raised to an even power equals a positive.
So you're left with sqrt x-4 ^2
Then reduce the index of the radical and the exponent with 2
x-4
Hope this helps
The correct expression will be ( x- 4 ). So option B is right.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as:-
E = ( - √(x-4))²
The product of two minuses is positive and the product of the same square root numbers will be the number so the equation will become.
E = -√(x-4) x -√(x-4)
E = x - 4
Therefore the correct expression will be ( x- 4 ). So option B is right.
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An urn contains 5 red marbles 9 white and 7 blue marbles marbles.A child randomly selects three (without replacement) from the urn.Round to four decimal place.Find the probability all marbles are the same.
Answer:
0.0970
Step-by-step explanation:
Red marbles, R= 5
White, W = 9
Blue, B = 7
Total = (5 + 9 + 7) = 21
Selecting 3 marbles without replacement :
Probability that all marbles are the same
P(RRR) or P(BBB) or P(WWW)
(5/21 * 4/20 * 3/19) + (7/21 * 6/20 * 5/19) + (9/21 * 8/20 * 7/19)
0.0075187 + 0.0263157 + 0.0631578
= 0.0969922
= 0.0970
Which point is coplanar with a, b and c in the diagram below
Answer:
D because it on the same plane as abc so it is a coplanar. also I got it right on my test.
Point D is coplanar with A, B, and C because it is on the same plane as A, B, and C option (4) is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
A rectangular prism is given,
Geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
As we know in the rectangular prism there are eight vertices and six faces.
From the figure, we can see clearly that point D is coplanar with A, B, and C.
Point D is coplanar with A, B, and, C.
Thus, point D is coplanar with A, B, and C because it is on the same plane as A, B, and C option (4) is correct.
Learn more about the rectangular prism here:
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convert the following fractions to decimals
9/16
6 3/5
1/4
Salary: $59,438
Starting age: 24
Ending age: 67
Answer:
2.6 million
have a good day!
2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7
Answer:
x= 7, y=0 (7,0)
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
Find the sum of all multiples of 7 lying between
500 & 900
Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
please help i'll give brainliest
Step-by-step explanation:
24m , 75 m . 54 ,
The population density of City A is 6000 people per square mile. City B is a dilation of City A with scale factor 1.5 . If City B has 3/5 of the population of City A, what is the population density of City B?
Answer:
[tex]1600\ \text{people per square mile}[/tex]
Step-by-step explanation:
Number of people per square mile in City A is 6000.
In terms of size City B is a dilation of City A with scale factor 1.5.
This means a length of 1 mile in city A would be 1.5 miles in city B.
So, [tex]1\ \text{mile}^2\text{ in City A}=1.5^2\ \text{mile}^2\text{ in City B}[/tex]
City B has [tex]\dfrac{3}{5}[/tex] of the population of City A.
So the population density of City B would be
[tex]\dfrac{\dfrac{3}{5}\times 6000}{1.5^2}=1600\ \text{people per square mile}[/tex]
The population density of City B is [tex]1600\ \text{people per square mile}[/tex].
what can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?
============================================================
this is a riddle I know the answer but I just want to see peoples answer :)
Answer:
A river?
Step-by-step explanation:
[tex] (\frac{1}{20} - \frac{1}{36} )[/tex]
Answer:
the answer is 1/45
Step-by-step explanation:
ywgefyjgrcghh
Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. If not, choose not congruent
W
Answer:
Image please
HELP !!!!!!!!!!! find l
Answer:
Pythagorean Theorem: a^2 + b^2 = c^2
6^2 + 15^2 = c^2
36 + 225 = 261
So, the answer is 261
Let me know if this helps!
Help me photo is attached below pleaseeee I beg youuu
Answer:
15? i'm not too sure, the wording is throwing me off
Step-by-step explanation:
Answer:
15 dogs
Step-by-step explanation:
dogs : cats : rabbits
5 : 2 : 1
? : ? : 3
1 rabbit = 2 cats
2 cats = 5 dogs
1 rabbit = 2 cats
2 rabbits = 4 cats
3 rabbits = 6 cats
2 cats = 5 dogs
4 cats = 10 dogs
6 cats = 15 dogs
Answer as quickly as you possibly can
Answer:
m = 3/2
Step-by-step explanation:
You want to find the slope, or the change in y coordinates over change in x-coordinates.
The first given point is E(-2, -4)
The second point is F(2, 2)
Coordinates are given in (x, y), so following the equation and computing the x and y coordinates of E - F for both the numerator and denominator:
[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{-4 -2}{-2 -2} = \frac{-6}{-4} = \frac{3}{2}[/tex]
You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.
Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.
what is sum of 109 and h as an algebraic expression
Answer:
to be honest idon'tknow
Step-by-step explanation:
y= 2x + 3
plz graph it quick.
Use photo math, it will show you a graph of the answer
The bank contains pennies, nickels, dimes, and quarters. There are 4 more nickels than pennies. How much money does the bank contain
Of the 50 coins 10% are pennies and 42% are dimes
The amount of money in the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.
First, let's find the number of pennies in the bank.
Since 10% of the coins are pennies, and there is 50 coins total, the number of pennies is :
10/100 × 50 = 5
Now let's find the number of dimes. Since 42% of the coins are dimes, and there is 50 coins total, the number of dimes is :
42/100 × 50 = 21
Since there are 4 more nickels than pennies, the number of nickels is :
5 + 4 = 9
Finally, the number of quarters is: 50 - 5 - 9 - 21 = 15
Thus, the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.
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x = 5
x + y = 12
help please
Answer:
y = 7
Step-by-step explanation:
(5) + y = 12
12 - 5 = 7
What’s the answer?????
Answer:
3
Step-by-step explanation:
d = 2 and c = 3
12d - 7c
12(2)-7(3)
24 - 21
3
Answer:
3
Step-by-step explanation:
12d - 7c
d = 2
c = 3
Substitute the values into the equation.
(12 × 2) - (7 × 3)
= 24 - 21
= 3