Answer:
-6
Step-by-step explanation:
Sorry, no explaination, but it's correct (trust me)
The value of n for which the considered quadratic equation p(x) and k(x) are such that p(x) = k(x) + n is n = -6
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This graph goes through three points, (-3,3), (3,3), and (0,-6) (the last point is the vertex of the quadratic equation).
Let the function p(x) be:
[tex]p(x) = a(x-h)^2 + k[/tex]
Since the vertex lies on the point (h,k) = (0,-6), putting h = 0, and k = -6, we get:
[tex]p(x) = ax^2 -6[/tex]
Now, as this graph passes through (x,y) = (-3,3), putting x= -3, and y (output, or say p(x)) = 3, we get:
[tex]3 = a(-3)^2 - 6\\3 = 9a-6\\9a = 9\\a =1[/tex]
Thus, the function p(x) is:
[tex]p(x) = x^2 - 6[/tex]
But since [tex]k(x) = x^2[/tex], therefore,
[tex]p(x) = x^2 - 6 = k(x) - 6[/tex]
On comparison with p(x) = k(x) + n, we deduce that n = -6
Thus, the value of n for which the considered quadratic equation p(x) and k(x) are such that p(x) = k(x) + n is n = -6
Learn more about vertex form of a quadratic equation here:
https://brainly.com/question/9912128
Please help me find x and y value?
Answer:
x = 24
y = 19
Step-by-step explanation:
From the picture attached,
m(∠CAB) = (5y - 23)° [Vertically opposite angles]
By applying triangle sum theorem in ΔABC,
(5y - 23)° + (2x + 13)° + 47° = 180°
2x + 5y = 143 -----(1)
(3x)° = (5y - 23)° [Corresponding angles]
3x - 5y = -23 -----(2)
By adding equation (1) and (2)
(2x + 5y) + (3x - 5y) = 143 - 23
5x = 120
x = 24
From equation (2)
3(24) - 5y = -23
72 - 5y = -23
5y = 95
y = 19
100 POINTS 100 POINTS 100 POINTS!!!
Don't just put random answer put real ones.
Wrong or Right?
For right just put right
For wrong just put wrong and the correct answer.
First correct answer gets brainliest!
Answer:
B and C
Step-by-step explanation:
Answer:
#1 is right
#2 is right
#3 is wrong
# 3 is b or c
Step-by-step explanation:
surry if im wrong
Anybody know the answer ??? I need it real quick plz don't send a file!!
Answer:
Here’s a file hosting..
SCROLL DOWN FOR LINK
Step-by-step explanation:
Answer is B, C, D, E, A
convert the number into a scientific notation
please help ASAP!!! Step by step
translation : 3units right , 4 units down
Answer:
C'=(-1,0)
B'=(-2,1)
A'=(-4,1)
D'=(-4,0)
Step-by-step explanation:
each point moves 3 right and 4 down ( follow the pattern)
Hope i helped :)
8pq + 20qr – 16s factorise plz
Answer:
4(2qp + 5qr - 4s)
Step-by-step explanation:
8pq + 20qr – 16s
we can use 4 as a common factor between these numbers.
8/4 = 2
20/4 = 5
16/4 = 4
so
4(2qp + 5qr - 4s) is the most factorized answer we can get
I have been stuck on this question for a while(NO SPAMMING IT IS ANNOYING)The formula used to find the area of a circle is πr² (π=pi). What is the area of a circle with a diameter of 16cm? Use pi = 3.14
Answer:
200.96
or
201 (if you round it up)
Step-by-step explanation:
1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).
2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)
3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.
HELLLLLLP!!!PLZ Any one know this?
Answer:
- the angle at H is 120 degrees
- the missing segment is DC
Step-by-step explanation:
The "roof" FGH is bigger than 90 degrees because FG and GH are not acute. .
Without instruction we can assume FGH is 120 degree.
This means GHF is 30 degrees to complete the triangle FGH.
So the angle around H, or JHG is 90 + 30 = 120 degrees
For the ratio, we can simply look at the comparison between the small figure DJHGF
and the large figure DCBAE, and we see that the denominator
DJ in the small figure is DC in the large figure.
A laptop case is 24 inches long and 18 wide. Find the diagonal length of case in feet. Round your answer to the nearest tenth.
Answer:
2.5 feet
Step-by-step explanation:
According to the problem, computation of given data are as follows,
Length = 24 inches = 2 feet ( 1 feet = 12 inches)
Width = 18 inches = 1.5 feet ( 1 feet = 12 inches)
So, we can calculate the diagonal length by using Pythagorean Theorem.
[tex]L^{2} + W^{2} = D^{2}[/tex]
Where, L is length, W is width, and D is diagonal length
So, by putting the value, we get
[tex]2^{2} + 1.5^{2} = D^{2}[/tex]
[tex]D^{2} = 4 + 2.25[/tex]
[tex]D = \sqrt{6.25}[/tex]
D = 2.5 feet
Hence, diagonal length is 2.5 feet.
please help me solve this
Answer:
4x^2+36x+81
Step-by-step explanation:
FOIL
First terms
Outside terms
inside terms
last terms
Will mark brainly
Angles Test
Answer:
B.
Step-by-step explanation:
complantary angles add up to 90 degrees so 90-24 is 66
Answer:
1. A
2.B
Step-by-step explanation:
Supplement angles add up to 180°
Complement angles add up to 90°
Question:
Explain how you know that y directly relates to x in the given table. Then, write an equation for the direct variation.
Urgent! Please help me out.
Answer:
According to the graph it should be D Have a good day thank you <.>
Step-by-step explanation:
Answer:
D i think
Step-by-step explanation:
if it started at 54º, and in each one hour it grows 8 degrees, then it is d
not b because in the first hour it only went up to 60º
pls mark brainliest unless someone alreay answered it
thank you have a great day! :D
The function has a removable point of discontinuity when x =
The function has infinite discontinuity when x = |
The function has jump discontinuity when x =
Answer:
-3, 3, 9
Step-by-step explanation:
Answer on Edge
A furniture store donated a percent of every sale to hospitals. The total sales were $8,800 so the store donated $528. What percent of $8,800 was donated to hospitals?
Lindy is having a bake sale. She has 48 chocolate chip cookies to put in bags. How many bags can she fill if she puts the same number in each bag and uses them all? Find all the possibilities. What is the problem asking us to find? How are we going to solve the problem? what is the answer to the problem?
Answer:
8x6=48 Your answer is 8 or 6
Step-by-step explanation:
Fill in the table using this function rule. y=6x +3
Given:
The function is:
[tex]y=6x+3[/tex]
To find:
The missing value for the given table of values.
Solution:
We have,
[tex]y=6x+3[/tex]
Substituting [tex]x=1[/tex] in the given function, we get
[tex]y=6(1)+3[/tex]
[tex]y=6+3[/tex]
[tex]y=9[/tex]
Substituting [tex]x=3[/tex] in the given function, we get
[tex]y=6(3)+3[/tex]
[tex]y=18+3[/tex]
[tex]y=21[/tex]
Substituting [tex]x=6[/tex] in the given function, we get
[tex]y=6(6)+3[/tex]
[tex]y=36+3[/tex]
[tex]y=39[/tex]
Substituting [tex]x=8[/tex] in the given function, we get
[tex]y=6(8)+3[/tex]
[tex]y=48+3[/tex]
[tex]y=51[/tex]
Therefore, the complete table of values is:
x y
1 9
3 21
6 39
8 51
The side length of a square ABCD is 20 inches. What is the side length of the square formed by joining the midpoints of the sides of ABCD?
Answer:
10 inches
Step-by-step explanation:
Given the side length if ABCD = 20 inches.
The midpoint of the sides ABCD implies the point that divides each of the sides into two equal parts.
Midpoint of side AB = BC = CD = AC = [tex]\frac{20}{2}[/tex] = 10 inches
So that, the side length of the square to be formed by joining the midpoints of the sides of ABCD is 10 inches.
Evaluate
5^2 + 3 x 7 + 12
Help me plz
Answer:
58
Step-by-step explanation:
5^2 = 5 x 5 = 25
3 x 7 = 21
25 + 21 + 12
The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)?
Answer:
2(x-10)/(x+10)(x-4)
Step-by-step explanation:
Find the complete question attached as a diagram
Given the following
F(x) = x-16/x²+6x-40
Factoring the denominator
F(x) = x-16/x²-4x+10x-40.
F(x) = x-16/x(x-4)+10(x-4)
F(x) = x-16/(x+10)(x-4)
g(x) = 1/x+10
Adding both functions
F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.
F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)
F(x)+g(x) = x-16+x-4/(x+10)(x-4)
F(x)+g(x) = x+x-16-4/(x+10)(x-4)
F(x)+g(x) = 2x-20/(x+10)(x-4)
F(x)+g(x) = 2(x-10)/(x+10)(x-4)
Given the expression below, what are the missing values, respectively?
x2 + 9x + 20 = (x + O) (x + O)
F. 4, 5
G. 2, 10
H. -4,1-5
J. 3, 3
Answer:
F.
Step-by-step explanation:
20=4*5
9=4+5
Simplify.
5V18-2V50
V50
Answer:
-500
Step-by-step explanation:
1. is XY tangent to circle Z?
Answer:
Line segment U V is a secant Line segment X Y is a tangent and intersects the circle at point U
Step-by-step explanation:
The required, XY is tangent to Circle Z, as of the given condition.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
From the diagram, we can use the Pythagorean theorem to justify whether XY is tangent to the circle Z, because if XY is the tangent then XYW is the right triangle.
So,
XY² = XW² + WY²
Substitute the value in the above expression,
16² = [2×6.4]² + 9.6²
256 = 256
Thus, XY is tangent to Circle Z.
Learn more about circle here:
brainly.com/question/11833983
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At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the building as one side of the area, which measures $$23 meters. He has at most $$35 meters of rope available to use.
Answer: 6 meters
Step-by-step explanation:
The question is to form an inequality to solve for the possible widths that the roped area could have.
Let the width be denoted as w.
23 + 2w = 35
2w = 35 - 23
2w = 12
w = 12/2
w = 6
Therefore, the width is 6 meters
⚠️⚠️⚠️help ⚠️⚠️⚠️⚠️⚠️
Answer:
$0
Step-by-step explanation:
The initial value (y-int) is the output value when the input of a linear function is zero. This function is even, steadily increasing by the same amount. Therefore if the y-intercept is 0, the x value is also 0.
The measure of an angle is 137.4°. What is the measure of its supplementary angle?
Answer:
42.6 degrees
Step-by-step explanation:
A supplementary angle is one that adds to the other one so the sum is 180 degrees. So 180-137.4=42.6
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
The answer should be A because when I put them on a graph they were in the shape of a square/rectangle
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 28pts-
Answer:
C
Step-by-step explanation:
The formula is πD, since D is 6, it is C, 6π
Answer:
B.
Step-by-step explanation:
Jessica bought a soft drink for 2 dollars and 6 candy bars. She spent a total of 20 dollars. How much did each candy bar cost!
Answer:
4 dollars
Step-by-step explanation:
i subtracted the total money spend from the soft drink
18$ - 2$ = 16$ was spent in buying the candy bars
and she bought 4 candy bars so we divide 16$ by 4 = 4$ for each candy bars
last one pls help i dont get this slope thingy
Answer:
-3
Step-by-step explanation:
Slope going down.
From point (-2,3) to (-1,0): Down 3, Over 1 (-3/1)