Answers
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
Related Questions
Find the volume of the prism.
5 ft
3 ft
5 ft
4 ft
Answers
Answer:
you have to show the prism
Q4 - Exam prep: Missing values
Audrey measures all 7 pencils in her pencil case and writes the first 6 lengths down.
12.4 cm, 12.6 cm, 13 cm, 13.4 cm, 13.5 cm, 13.3 cm
Audrey calculates the mean length of all 7 pencils to be 13.1 cm.
Find the length of the missing pencil.
cm
[2]
Answers
Answer:
the missing pencil length is 13.5 cm
Step-by-step explanation:
The computation of the length of the missing pencil is shown below:
Let us assume the missing pencil be x
Now
(12.4 cm + 12.6 cm + 13 cm + 13.4 cm + 13.5 cm + 13.3 cm + x) ÷ 7 = 13.1 cm
(78.2 cm + x) ÷ 7 = 13.1 cm
78.2 cm + x = 91.7 m
So, x would be
= 91.7 cm - 78.2 cm
= 13.5 cm
hence, the missing pencil length is 13.5 cm
Which of the following could be classified as a census?
A.) a survey of a percentage of each state’s population about voting choices
B.) a survey of each student in a school about school lunch options
C.) a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
D.) a survey of all the women on Main Street to determine the current movie preferences of all people over age 20
Answers
Answer:
the answer should be c..
albert announces to his mother, he is hungry and asks what is there to eat? she responds, go look in the refrigerator. which factor has the greatest influence on albert's food choice?
Answers
Answer:
Availability
Step-by-step explanation:
Help! brainliest stars and hearts if correct! Please Area and perimeter! Please explain!
Answers
Answer:
Perimeter = 14 in
Area = 8 in^2
Step-by-step explanation:
Area = 2x2 + 4x1 = 8 in^2
Perimeter = 2+2+2+2+1+4+1 = 14 in
Answer:
The area is 8 square inches and the perimeter is 16 square inches.
Step-by-step explanation:
First, find the area.
We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.
4 ⨯ 1 = 4
So, the area of the bottom rectangle is 4 square inches.
For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.
2 ⨯ 2 = 4
Now, we have to add 4 + 4, because the two quadrilaterals are joined together.
4 + 4 = 8
So, the area of the shape is 8 square inches.
Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.
Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.
2 + 2 + 2 + 4 + 1 + 4 + 1 = 16
So, the perimeter of the shape is 16 inches.
In the isosceles triangle ABC
AB=AC
angle B = (3x 32)º
angle C =(87-2x)"
Work out the value
of x.
Answers
Answer:
x = 4.5
Step-by-step explanation:
Angle B = angle C because it is an isosceles triangle.
3x32 = 87-2x
96 = 87-2x
reduce:
9 = 2x
x = 4.5
An isosceles triangle is one with two equal-length sides. The value of x is 11.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,
∠B = ∠C
3x + 32 = 87 - 2x
3x + 2x = 87 - 32
5x = 55
x = 11
Hence, the value of x is 11.
Learn more about Isosceles Triangle:
https://brainly.com/question/2456591
#SPJ1
Four friends aré baking bread they equally share 3 sticks if butter which expression can he usted yo find then fracción of a stick of butter that each friends uses
Answers
Answer:
Each friend uses 3/4 of a stick of butter
A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?
Answers
Answer:
A. 2a+6
Step-by-step explanation:
I did the test and this is what I got.
geometry, can u help????
Answers
Since any triangles angles always add up to 180 degrees, we can simply add up 62 and 58 then subtract from 180.
62
+58
———
120
Now to find the last angle of the triangle you have to subtract 120 from 180 which is 60 degrees. This means x = 60.
However we’re not done, with this 60 we can now calculate y. Since the line is a 180 angle line! We can just subtract 60 from 180 which gives us 120.
The angle of y is 120
Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?
Answers
Answer:
planet fitness will take one month and total fitness will take 3 months
Step-by-step explanation:
planet fitness:
75
total fitness:
25
50
75
The helicopter can travel 75 miles per hour. How many miles per minute can the helicopter travel?
Answers
Answer:
4.69 miles per minute
Step-by-step explanation:
75 ÷ 60 (60 minutes in an hour) = 4.6875
4.6875 rounded to the nearest hundredth is 4.69
Find the range of each function for the given domain-
Answers
Answer:
42
90
Step-by-step explanation:
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Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?
Answers
Answer:
at least 87
[tex] \geqslant 87[/tex]
Step-by-step explanation:
danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87
Danny's money is
[tex] \geqslant 87[/tex]
1. (10 points) Explain how to factor the following:
A: 3m2 + 4m +1 = 0
B: 16n- 25
C: 20n3 - 15n2 + 4n - 3
D: 864.3 + 4
Answers
Answer:
A. 3m² + 4m + 1 = 0
3m² + 3m + m + 1 = 0
3m (m + 1) + 1 (m + 1) = 0
( 3m + 1 ) (m + 1) = 0
B. 16n - 25
16n = 25
n = 25/16
Which of the following is a perfect square?
A.) 115
B.) 169
C.) 154
D.) 279
Answers
Answer:
B (169)
Step-by-step explanation:
What is the value of x in the equation 0.03x − 1.2 = 0.24?
Answers
Answer:
x = 48
Step-by-step explanation:
solved it just now-
140 with the power of 1/8 in radical form
Answers
Answer:
The answer is 8√140.5
Step-by-step explanation:
2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k =
45
у
о
Help
Answers
Please can i have the correct answer this is a important test
I will mark you brainliest
I just need part B only
Answers
Answer:
thin think back to wen you were l lerning about it come on you can do it
Plz help.............
Answers
Answer:
75 ft
Step-by-step explanation:
10 * 6 = 60
1/2 * 6 * 5 = 15
60 + 15 = 75 ft
Item 5
Find the area of the circle. Round your answer to the nearest hundredth.
area: about
cm2
Answers
:510 around th e cme3 cthulhu.com
pls help i will give you like and brainliest if you are correct!!!
Answers
Answer:
+9.2=7.6x
x+9.2=38x
______
5
Solution
=1.393939393
Please answer! I’ll make brainliest
Answers
Answer:
16 feet
Step-by-step explanation:
We are Given that
We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.
The building height And distance of the bottom of ladder and building is our legs so our formula we use is
[tex] {30}^{2} + {x}^{2} = {34}^{2} [/tex]
[tex]900 + {x}^{2} = 1156[/tex]
[tex] {x}^{2} = 256[/tex]
[tex]x = 16[/tex]
Is this line an accurate line estimate of
best fit for the data?
Yes
No
Answers
Answer:
no.........................
I have to find the value of x
k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu
Answers
Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
Need help with this question
Answers
Answer:
C. x = 3
Step-by-step explanation:
8x - 8 = 2x + 10
get the x on it's own
8x - 8 + 8 = 8x
2x + 10 + 8 = 2x + 18
8x = 2x + 18
8x - 2x = 6x
2x + 18 - 2x = 18
6x = 18
now divide each side by 6
6x / 6 = x
18 / 6 = 3
x = 3
X=3
Explanation
8x-8=2x+10
6x=18
x=3
HELP!!
Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°
HELP!!
Answers
Answer:
A
angle 1 + angle 4 is equal to 180
if angle 4 = 127, angle 1 must equal 53
Step-by-step explanation:
It would be very nice if you could evaluate the expression for ya homie
-63/(-7)+6
Answers
Answer: =15
Step-by-step explanation: Hope this help :)
-63/-7+6
=63/7+6/1
=9/1+6/1
=9+6/1
=15
AAAAAAAAAAAAAAAAA HELP
Answers
Plz help i will give
Answers
Answer:
The equation to be used is 4/8 × 8/12=1/3