Answer:
[tex]y = 2 (x-7)^{2} +6[/tex] is the equation of parabola.
Step-by-step explanation:
Vertex form of a parabola is given as :
[tex]y = a (x-h)^{2} +k ...... (1)[/tex]
(h,k) is the co-ordinate of vertex of parabola.
(x,y) are the points on parabola.
We are given that vertex is at (7,6) and a point on parabola is (6,8).
h = 7
k = 6
x = 6 and
y =8
Putting all the values in equation (1):
[tex]8 = a (6-7)^{2} +6\\\Rightarrow 8 = a + 6\\\Rightarrow a = 2[/tex]
Putting values of (h,k) and a in equation (1) to obtain the equation of parabola:
[tex]y = 2 (x-7)^{2} +6[/tex] is the equation of parabola with vertex at (7,6) and contains the point (6,8).
Answer:
Step-by-step explanation:
y = 2x2 – 28x + 52
wrong its not that
Which type of transformation must have occurred in order to map triangle RST to its image, triangle R'S'T?
Answer:
Reflection over the y axis
Step-by-step explanation:
You can picture this graph on a piece of paper. If you fold the paper over the y axis/ the line in the middle, T would map onto T', S onto S' and R onto R'. This is a reflection
The formula for volume of a rectangular prism is V=
Bh.
The variable B stands for the_
In this prism, B equals
_cm?
The variable h stands for
_cm
In this prism, h equals
_cm.
The volume of the prism is
_cm3
Answer:
see explanation
Step-by-step explanation:
B represents the area of the base
B = 12 × 2 = 24 cm²
h represents the height and in this prism h = 9 cm
V = Bh = 24 × 9 = 216 cm³
Answer:The variable B stands for the (1)
In this prism, B equals in.2. (1)
The variable h stands for (2)
In this prism, h is in. (2)
The volume of the prism is (3)
Step-by-step explanation: hope you live good! (I got bored with hope this helps In case you were wondering)
HELP PLEASE
which material in the picture above reflects the most light?
and
which material in the picture above absorbs the most light?
Answer:
A. Opaque materials
B. Transparent materials
C. Translucent and Opaque materials
D. Transparent and Translucent materials
Solve for x: 3x + 2x + 7 = 32
Answer:
The answer is x = 5
Step-by-step explanation:
I added similar elements, then I subtracted 7 from both sides, next I divided by 5 both sides, and lastly I got x = 5 as my answer.
Help !
Will mark as brainliest
Answer:
a... 6x^8y^5
b.... 4x^5z^8
c.... 12a^9b^7
d.... 6s^6t^3
Question 5 (5 points)
Find the upper quartile of the data shown on the box-and-whisker plot below
+
+
10
20
30
40
SO
60
7080
90
42
73
56
31
Answer:
The upper quartile is 71.5
Step-by-step explanation:
on the attachment
Answer: 56
Step-by-step explanation:
What are the values of X for which the denominator is equal to zero for y=x^2+3/x^2+2
Answer:
16=x
Step-by-step explanation:
After triangle ace is dilated by a factor of 5, it has an area of 100 square inches. What was its area before dilation?
Answer:
20in^2
Step-by-step explanation:
Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.
A triangle has one angle that measures 15 degrees, one angle that measures 44 degrees, and one angle that measures 121 degrees.
What kind of triangle is it?
A.
scalene triangle
B.
right triangle
C.
isosceles triangle
D.
equilateral triangle
Answer:
A. Scalene Triangle
Step-by-step explanation:
On a Scalene Triangle all angles are different.
A polynomial function has a root of 5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If th
function has a negative leading coefficient and is of even degree, which statement about the graph is true?
O The graph of the function is positive on (-0, -5).
O The graph of the function is negative on (-5, 3)!
O The graph of the function is positive on (-0, 1).
O The graph of the function is negative on (3,co).
Answer:
The graph of the function is negative on (3,0)
Step-by-step explanation:
The limiting behavior of a function describes how a function behaves as x ⇒ ±∞. Its behavior is determined by the degree of a polynomial and the sign of its leading coefficient.
Since the function [f(x)] is an even degree polynomial with negative leading coefficient, then f(x) ⇒ -∞ as x ⇒ ±∞. The graph of the function is negative at the root. Since it has a root of 3, The graph of the function is negative on (3,0)
Answer:
The graph of the function is negative on (3, infinity) The answer is D
Step-by-step explanation:
A sun ray forms a 60° angle with the ground. The reflection of the sun off of a lake forms a 120° angle with the ground. Angela
wants to find the measure of the angle formed by the sun ray and the sun reflection, so she drew the picture below.
sun
ray
sun
reflection
60
Ground
Lake
So, the measure of the angle formed by the sun ray and the sun reflection is
Answer:
60
Step-by-step explanation:
The attachment below!!!
The height of the prism is 15 inches. Find the volume of the prism.
Answer:
187.5
Step-by-step explanation:
a bakery offers a sale price of $2.90 for 3 muffins. What is the price per dozen?
PLEASE ANSWER QUICKLY WITH AN EXPLANATION PLEASE!!! I WILL ALSO VOTE U BRAINLIEST AND GIVE U FIVE STARS AND A THANKS!!!!
THANK YOU IN ADVANCE!!!!
Answer: $11.60 per dozen
Step-by-step explanation:
2.90=3 muffins
Multiply both sides by 4
3x4=12 ( a dozen)
2.90x4= 11.60
Hope this helps :)
How many terms are in the expression 2x + 3x + 4 + 2y?
Answer:
7 terms
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. ... Examples of single terms: 3x is a single term.
Answer:
its 4 terms
the coefficients are numbers combined with the variable and 4 is also a term
In a classroom there are 15 boys and 13 girls. One of the girls Samantha moved away. What percent of the classroom are girls after Samantha moved.
Answer: 44%
Step-by-step explanation: First, let's add up all the children in the classroom...
15 + 12 = 27
There's 15 boys, therefore have to divide 15 by 27...
15 ÷ 27 = 0.55 x 100 = 55%
Now, let's divided the total amount of girls...
12 ÷ 27 = 0.44 x 100 = 44%
44 + 55 = 99%
The perecent of girls in the classroom are 44%, I hope this helps!
Rearrange the equation so m is the independent variable. -2m-5n=7m-3n
Please answer FAST
Answer:
[tex]n=-4.5m[/tex]
Step-by-step explanation:
solve for n so that m becomes the independent variable
[tex]-2m-5n=7m-3n[/tex]
[tex]-5n=9m-3n[/tex]
[tex]-2n=9m[/tex]
[tex]n=-4.5m[/tex]
easy question.. giving brainliest
x/16 = 10/36
x=_
Answer:
x=40/9
Step-by-step explanation:
[tex] \frac{x}{16} = \frac{10}{36} |first \: you \: cross \: multiply| \\ x(36) = 16(10) |open \: bracket | \\ 36x = 160 |divide \: both \: side \:by \: 36 | \\ \frac{36x}{36} = \frac{160}{36} \\ x = \frac{40}{9} [/tex]
A shop is having a sale.
All items are reduced by 30%
Work out the sale price of an item normally priced at £110
Answer:
77
Step-by-step explanation:
10%=11
because you divide 110 by 10.
Then i would multiply that by 3, giving you 33
110-33=77
The sale price of an item normally priced at £110 is £77.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that all items are reduced by 30% on a sale.
An item that normally priced at £110 reduced by 30%.
So, 30 percentage of £110
= 30% of £110
= 110×30/100
= 3300/100
= 33.
Therefore, the sale price of an item normally priced at £110 is £77.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Need help with maths
Answer:
a) 48
b)
c) 13, 23, 43,
Step-by-step explanation:
since i helped you with a and c, try and figure out b on your own.
i will give you a link if you want it so you can watch a video on how to find square numbers
Answer:
a) 48
b) 81
c) 13, 23, 43
Step-by-step explanation:
[tex]\sqrt{81} =9[/tex]
Solve the given equation for x.
8-6/5x=10
Answer:
x = -5/3
-1.667
Step-by-step explanation:
49 points!!!!
..................................
Answer:
Tell me if its blurry i can send it to you again
Step-by-step explanation:
Answer:
Yeah just look at the other answer i got that answer also
Step-by-step explanation:
The plotted point represents the depth of a scuba diver
in feet How far beneath the water's surface is the
diver?
-20
it
-21
Answer: —20.7
Step-by-step explanation: Got it right the assignment
Answer:
-20.7
Step-by-step explanation:
did the assignment and got it right good luck <3
To catch a frisbee, a dog leaps into air with an initial velocity of 14 feet per second. Write a model for the height of the dog above the ground. After how many seconds does the dog land on the ground?
Answer:
Model: [tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
The dog land on the ground after 0.8706 seconds.
Step-by-step explanation:
The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:
[tex]y = y_0+v_0t+\frac{1}{2}gt^{2}[/tex]
Where [tex]y_0[/tex] is the initial height, [tex]v_0[/tex] is the initial velocity and [tex]g[/tex] is the gravity.
So, replacing [tex]y_0[/tex] by zero, [tex]v_0[/tex] by 14 feet per second and [tex]g[/tex] by [tex]32.16 ft/s^2[/tex], we get that the model for the height of the dog above the ground is:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
Then, the time t when the dog land on the ground is calculated replacing [tex]y[/tex] by zero and solving for t as:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}\\0 = 14t+\frac{1}{2}(32.16)t^{2}\\0 =t (14 - 16.08t)[/tex]
Now, we have two possible solutions:
[tex]t=0[/tex] or [tex]14-16.08t=0[/tex]
Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:
[tex]14-16.08t=0\\14=16.08t\\\frac{14}{16.08}=t\\t=0.8706[/tex]
What’s the best estimate?
Answer:
A 4
Step-by-step explanation:
the given numbers round off to 11 and 3. 11/3 is a bit less than 4. Answer A (4) is the best approximation of the answers given.
Answer:
4
Step-by-step explanation:
KFC
first convert it into improper fraction
56/5 divided by 11/4
then do KFC
56/5 times 4/11
224/55
then you divide 224 by 55
which gives you 4
Write an equation for the nth term of the arthmetic sequence 22,15,8,1
Answer:
17
Step-by-step explanation:
I got this right on a test i did 4 days ago
Identify the pairs of alternate exterior angles in the given figure:figure in answers.
Answer:
A) 1 & 7, 2 & 8
Step-by-step explanation:
What tone do the underlined phrases help to create
Answer:
restless and nervous (not sure doe)
Step-by-step explanation:
I did the quiz! <3
Answer:
Restless and Nervous.
Step-by-step explanation:
I did the quiz and got it right.
HELP WILL NAME BRAINLIEST
The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z2 + 2z square meters. Factor this polynomial to find possible expressions for the length and width of the wall. (Assume the factors are polynomials.)
Answer:
2z(2z+1)
Step-by-step explanation:
Write the equation for the area and then factor the polynomial to find the possible expression for the length and width.
A = 4z2 + 2z The GCF of 4z2 and 2z is 2z.
= 2z(2z) + 2z(1) Write the terms as products using the GCF as a factor.
= 2z(2z + 1) Use the distributive property to factor out the GCF. Possible expressions for the dimensions of the wall are 2z m and (2z + 1) m.
The requried expression of the length and width is (2z + 1) and 2z.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
As mentioned in the question, the amount of paint needed to cover a wall is proportional to its area.
The wall is rectangular and has an area of 4z² + 2z square meters. According to the question, we have factored this polynomial to find possible expressions for the length and width of the wall.
So,
Area = 4z² + 2z
Takin common 2z
Area = 2z × (2z + 1)
Comparing the above expression with
Area of rectangle = width × length
From comparison,
Length = (2z + 1)
Width = 2z
Thus, the requried expression of the length and width is (2z + 1) and 2z.
Learn more about Factors here:
https://brainly.com/question/24069312
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Solve for x in the equation x^2-4x-9=29
Answer:
x = 2 + √ 42 , 2 − √ 42
Decimal Form:
x = 8.48074069 , − 4.48074069
Step-by-step explanation:
Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.
John recently purchased $4,897.00 worth of a stock that is expected to grow in value by 9% each year for the next ten years. Assuming this growth forecast holds, which function will show the value of John's stock in t years?
A.
A(t) = $4,897(1.11)t
B.
A(t) = $4,897(1.09)t
C.
A(t) = 1.09($4,897)t
D.
A(t) = $4,897(1.09)(t)
Answer:
Step-by-step explanation:
B
Answer:
B
This is true because the value increases from the initial value.
So it is 109%
So you multiply by 1.09