8.
Write the equation of the parabola in vertex form.
A. y = –x^2 + 4
B. y = –x^2 + 3
C. y = –(x – 1)^2 + 3
D. y = –x^2 – 4
Answers
Answer:
A. y = –x^2 + 4
Step-by-step explanation:
Find the vertex form.
y = − ( x + 0 ) 2 + 4
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 0 , 4 )
Focus:
( 0 , 15 /4 )
Axis of Symmetry:
x = 0
Directrix:
y
=
17
4
x
y
−
2
0
−
1
3
0
4
1
3
2
0
Related Questions
In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answers
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
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ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
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There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?
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Answer:
704 students can fit in the cafeteria a day
do the write a relation as a set of five ordered pairs then express the relation using a:
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mapping diagram
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Answer:
Step-by-step explanation:
Table
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Step-by-step explanation:
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12+ 5= 17
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Answer:
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Step-by-step explanation:
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Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
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Answers
Answer:
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Step-by-step explanation:
45*2/10=45*1/5=9
Answer:
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Step-by-step explanation:
Is it possible to make a triangle with sides lengths of 12, 16 and 20? If the answer is yes, is the triangle a right triangle?
Answers
Answer: Yes it can form a triangle and its a right triangle.
Step-by-step explanation:
Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)
An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answers
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
Which of the following could be the measure of the angle below
Answers
Answer:
-180
Step-by-step explanation:
its a straight line
Find the value of x and thank
Answers
Explanation: ……………
Answer:
65
Step-by-step explanation:
180-100 (40+60) =80
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Hello, may I ask? uh, what is the formula for finding the mark up rate? original price and mark up price is given.. thank you!
Answers
Step-by-step explanation:
Let original price is C and mark up price is M.
The rate would be the percent change:
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Answers
Answer:
first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
How many bagels can you buy for $50?
Answers
Answer: about 120??
Step-by-step explanation: pls leave a thanks if helped <3
Answer: 120 bagels
Step-by-step explanation:
$50/$5 = 10 dozens of bagels
10 dozens x 12 = 120 bagels in total
Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q? Which quardrant is it in?
Answers
Answer:
Q = (-2.5, -3), quadrant 3
Step-by-step explanation:
Reflection across the x-axis changes the sign of the y-coordinate.
Q = (-2.5, -3)
With two negative coordinates, point Q is in Quadrant III.
_____
Additional comment
Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.
6. The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number. The first student says 5. Victor Is tenth in line. What number should Victor say? (lesson 5.6)
Answers
Answer:
D. 21
Step-by-step explanation:
The first terms are ...
5, 9, 8, 12, ...
Each even-numbered term is 3 more than the previous even-numbered term. Then the even-numbered terms are ...
n = 2, 4, 6, 8, 10
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Victor should say "21."
What is the y-coordinate of the solution of the system of equations?
Sy= 3x – 26
2x – y = 19
Enter your answer in the box.
y=
Answers
Answer: y=3x−262x−y=19
Step-by-step explanation:
Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
#Nova
Answers
Answer: 2/5 is closer 1/2. and it is easy to find half of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds away.
PLS HELP
Identify the range and domain of the function y=ln(x6).
Answers
The domain is {x ∈ R : x ≠ 0} (where R is the set of all real numbers), since x⁶ is a non-negative number for all real numbers x.
The range is R or the interval (-∞, ∞).
Solve it by Substitution
no link or website a well download for the answer. please do step by step
Answers
To solve this problem, we first have to create a system of equations. After that, you set the equations equal to each other, and use that to simplify and find the value of one variable. Once that is found that answer can be plugged into one of the two original equations to find the other variable.
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
Answers
Answer:
x less than or equal to 16.6
Step-by-step explanation:
50 divided by 3 is 16.6
since Jill wants 50 square feet as the maximum area x can be less than 16.6.
(3 questions for 40 points)
7. Given XPS = DNF, find the values of x and y
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Answers
8. X= 12 Y= 35/11
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Answers
Answer:
a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
First Triangle, this is a 45-45-90 triangle
so the side are 1-1-√2
so if one of the side is 3, you multiply the above by 3
1*3-1*3-√2*3
therefore, a=3√2
Second triangle
this is a 30-60-90 Triangle
so the sides are x-x√2-2x
for this triangle
x√2=6
x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator
x=6√2/4 --> simplify
x=[tex]\frac{3\sqrt{2}}{2}[/tex]
therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]
An image viewed on a computer screen has a height of 2 inches and a width of 3 inches. If the image is enlarged 150%, what are the height and width of the enlarged image?
The enlarged image will have a height of
in. and a width of
in
Answers
Answer:
I think its 3 and 4.5. I looked it up.
Step-by-step explanation:
Look up 2 in enlarged by 150% and I clicked on the first link and then do the same for 3.
The enlarged image will have a height of 3 in. and a width of 4.5 in.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
An image viewed on a computer screen has a height of 2 inches and a width of 3 inches.
If the image is enlarged 150%
so, the height and width of the enlarged image is,
height = 2*150%
=3
width= 3*150%
=4.5
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Answers
Answer:
For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.
Step-by-step explanation:
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answers
Answer:
whaat?
Step-by-step explanation:
Bert and Ernie own 20 rubber duckies total. If Bert owns 8 rubber duckies, how many does Ernie own?
Answers
Answer:
Ernie earns 12 rubber duckies
Step-by-step explanation:
20-8=12
Can someone help me please find the perimeter
Answers
Answer:
8x + 9
Step-by-step explanation:
Perimeter is the sum of all sides:
2x + x+8 + 5x+1 = 8x + 9
Please help me!!!
Look at photo for question
(I accidentally selected an answer and i can’t unselect it)
Answers
Answer:
B is the answer.
x = 1
y = 2
Step-by-step explanation:
In B, Multiply the second equation by 2
8y - 2x = 14
Now add the first and the equation above.
8y - 2x = 14
3y +2X = 8
11y = 22
Divide by 11
11y/11 = 22/11
y = 2
Use the given equation #2
4y - x = 7
4*2 - x = 7
-x = 7 - 8
-x = - 1 Multiply by - 1
-1*x = -1*-1
x = 1
Write each phrase as a numerical or algebraic expression. 189 subtracted from t
Answers
Answer:
t-189
Step-by-step explanation:
"the product of negative three and x"
Answers
That’s pretty much it