Answer: 7 and 5
Step-by-step explanation:
I HOPE THIS HELPS
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Answer:
7 and 5
Step-by-step explanation:
7+5=12
7-5=2
Find the equation of the parabola which has the given vertex V, which passes through the given point P, and which has the specified axis of symmetry. V(4,−2),P(2,14), vertical axis of symmetry.
Answer:
[tex]y = 4(x - 4)^2 - 2[/tex]
or
[tex]y=4x^2 -32x + 62[/tex]
Step-by-step explanation:
Given
[tex]V = (4,-2)[/tex] --- vertex
[tex]P = (2,14)[/tex] --- point
Required
The equation of the parabola
The equation of the parabola is of the form
[tex]y = a(x - h)^2 + k[/tex]
Where
[tex]V (4,-2) = (h,k)[/tex] ---- the vertex
So, we have:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = a(x - 4)^2 - 2[/tex]
In [tex]P = (2,14)[/tex], we have:
[tex](x,y) = (2,14)[/tex]
Substitute [tex](x,y) = (2,14)[/tex] in [tex]y = a(x - 4)^2 - 2[/tex]
[tex]14 = a(2 - 4)^2 - 2[/tex]
[tex]14 = a(- 2)^2 - 2[/tex]
[tex]14 = a*4 - 2[/tex]
[tex]14 = 4a - 2[/tex]
Collect like terms
[tex]4a = 14 +2[/tex]
[tex]4a = 16[/tex]
Divide both sides by 4
[tex]a= 4[/tex]
So:
[tex]y = a(x - 4)^2 - 2[/tex] becomes
[tex]y = 4(x - 4)^2 - 2[/tex]
Open bracket to express the equation in standard form
[tex]y=4(x^2 -8x + 16) - 2[/tex]
[tex]y=4x^2 -32x + 64 - 2[/tex]
[tex]y=4x^2 -32x + 62[/tex]
1. What form is the function below written in? *
(1 Point)
f (x) = a (x − p) (X - 9)
Standard form
Vertex form
Intercept form
Answer:
intercept form
(sometimes called factored form)
Step-by-step explanation:
Uzupełnij rozwiązanie podanego równania.
a) 4x+ 5 = 2x-3 1-5
b) 4x - 8 = 6 – 3x | +8
4x+5-5=2x-3-5
4x – 8+8 = 6 - 3x + 8
4x=-3x+
1+3x
4x = 2x -_- 2x
4x - 2x =
4x + 3x =
1:2
Answer:
4x+5=2x-3 1-5
4x-2x=-3+1-5-5
2x=-2
[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]
x=
[tex]x = \frac{ - 2}{2} [/tex]
Help for these 3 right answer will get brainliest.
Answer:
will you help me with grade 9 math, algebra 2 please
Step-by-step explanation:
In the accompanying diagram...
Answer:
i think maybe use Pythagorean Theorem :
call Kite is K
all state is S
we have KS²= KX²+ SX²
400=144+ SX²
so SX = 16, so that distance in feet between the stake and X is 16 feet
Answer:
16
Step-by-step explanation:
We can solve for a missing side using the Pythagorean Theorem
a² + b² = c²
where a and b = the legs and h = hypotenuse
Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )
That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )
12² + b² = 20²
step 1 simplify
12² = 144
20² = 400
we now have 144 + b² = 400
step 2 subtract 144 from each side
144 - 144 cancels out
400 - 144 = 256
we now have 256 = b²
step 3 take the square root of each side
√b² = b
√ 256 = 16
we're left with b = 16
So we can conclude that the length from the ground directly over point x to the stake is 16 feet.
( important note: The Pythagorean theorem can only be used in right triangle. )
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is __________ .
Answer:
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%
Step-by-step explanation:
Complete question
Please find the attachment
Solution
The frequency distribution is as follows
Interval Frequency Cumulative Frequency Relative Cumulative Frequency
1 to 5 8 8 0.16
6 to 11 8 16 0.32
11 to 15 13 29 0.58
16 to 20 9 38 0.76
21 to 25 3 41 0.82
26 to 30 4 45 0.9
31 to 35 3 48 0.96
36 to 40 2 50 1
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.
From the given figure (image 1)
The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.
Total frequency is = 4+8+15+7+7+3+4+2=50.
So the relative cumulative frequency is = 34/50 = 0.68 = 68%
Learn more: https://brainly.com/question/13646998
how do I solve for n
Answer:
n=14
Step-by-step explanation:
2x14=28-3=25
25/5 = 5
Answer fast will give brainiest
Answer:
Step-by-step explanation:
1). If two right triangles are congruent by HL property of congruence,
Their corresponding sides will be congruent.
By this property,
x - 4 = y + 3
x - y = 7 -----(1)
x = 2y ------(2)
By substituting x = 2y in equation (1),
2y - y = 7
y = 7
From equation (1)
x - 7 = 7
x = 15
2). If both the right triangles are congruent by HL property of congruence,
Their height and and hypotenuse will be congruent.
y + x = x + 7
y = 7
y + 5 = 2y - x
y - 2y + 5 = -x
-y + 5 = -x
x = y - 5
By substituting y = 7 in the equation,
x = 7 - 5
x = 2
PLEASE HELP IM BEING TIMES
Answer:
Part A. linear
Part B. you would shade the solutions (2,0) (3,2) (4,4) (5,6) (6,8)... right side
Step-by-step explanation:
Hope this helps
help me pls pls convert 4/5 into percent
Answer:
4/5 as a percent is 80% or 0.8
Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.
A÷6 = 7
Solve the equation. Check your solution
Answer:
you can simply the answer a = 48
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3)A(−8,3)A, left parenthesis, minus, 8, comma, 3, right parenthesis, B(-3, 3)B(−3,3)B, left parenthesis, minus, 3, comma, 3, right parenthesis, C(-3, 6)C(−3,6)C, left parenthesis, minus, 3, comma, 6, right parenthesis, and D(-8, 6)D(−8,6)D, left parenthesis, minus, 8, comma, 6, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
9514 1404 393
Answer:
15 squre units
Step-by-step explanation:
The area of the rectangle is the product of its length and width. The length is AB = 5 units; the width is BC = 3 units. Then the area is ...
A = LW
A = (5 units)(3 units) = 15 units²
The area of rectangle ABCD is 15 square units.
Where is point a on the number line?
Answer:
The point A is on 2.5 on the number line.
Step-by-step explanation:
In order to find this answer you need to find where the point labeled A is to have a starting point. Secondly, what two numbers is the point located between or closer to? In this case the point is right between 2 and 3. Which would be a half of a number. So, because the point is located between 2 and 3 we would say that it is 2.5 or 2 and 1/2 because the number on the left of the point is usually a whole number. So, that would be on how you get 2 and 1/2.
Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?
A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
[tex]y = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
[tex]y = -x^2 - 2x + 3[/tex]
From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.
HELP PLEASE BEING TIMED!
PICTURE IS POSTED BELOW
PLEASE SHOW WORK
Answer:
5
Step-by-step explanation:
if it's an equilateral triangle that means all sides are the same length
WILL GIVE U BRAINLEST!!
Angle A and B are a linear pair. If A = x + 70 and B = x + 50, what is the value of x? *
A.40
B.25
C.30
D.180
please tell me is my answer right
What is the opposite of the opposite of -12?
Answer:
-12.
Step-by-step explanation:
The opposite of -12 is 12.
The opposite of the opposite, which is 12, is -12.
In other words, the opposite of the opposite of a number gives you the starting value.
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?
Answer:
0.4867
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 32.6 ; Standard deviation = 12
For :
P(x > 33)
Z = (33 - 32.6) / 12
Z = 0.4 / 12
Z = 0.0333
Hence, using the Z distribution table :
P(Z > 0.0333) = 1 - P(Z < 0.333)
P(Z > 0.0333) = 1 - 0.51328
P(Z > 0.0333) = 0.48672
Anna bought 3 types of fruit for a fruit salad. She paid three times as much for blueberries as for pears and $2.50 less for strawberries than for blueberries.
If The total cost was $13.25 how much did Anna spend on each type of fruit
Answer:
Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.
Step-by-step explanation:
Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:
Pears: X
Blueberries: 3X
Strawberries: 3X - 2.5
X + 3X + 3X - 2.5 = 13.25
7X = 13.25 + 2.5
X = 15.75 / 7
X = 2.25
Pears: 2.25
Blueberries: 3 x 2.25 = 6.75
Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25
2.25 + 6.75 + 4.25 = 13.25
Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.
If mCD = 60 and m
find mAB!
Answer:
246= AB
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
<P = 1/2 ( AB - CD)
93 = 1/2 ( AB - 60)
Multiply by 2
186 = ( AB-60)
Add 60 to each side
186+80 = AB
246= AB
At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon
the area of a circle is 64π ft2. what is the circumference in feet? Express your answer in terms of π
Answer:
12π ft
Step-by-step explanation:
~Refer to the attachment for the solution. :)
Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14
Answer:
18.5 i believe
Step-by-step explanation:
sorry if im wrong, have a great day!!
20000 deposit earning 3.5% compounded monthly, after 10 years
Answer:
$28,366.90
Step-by-step explanation:
Answer: 28366.90
Step-by-step explanation: 20,000(1+.035/12)^120
I need help with this asap
Answer:
option C
Step-by-step explanation:
Because it increases with the same rate of 22.5.
To check that you can find the slope of the graph using two points from the graph.
I will take (1, 22.5) and (2, 45).
[tex]slope = \frac{y_2-y_1}{x_2-x_1} = \frac{45-22.25}{2-1} = 22.5[/tex]
Suppose N in L(V) is nilpotent. Prove that the minimal polynomial fo N is z^m+1, where m is the length of the longest consecutive strong of 1st that appears on teh line directly aoce the diagonal in teh matrix of N with respect to any jordan basis for N.
Answer: your question is poorly written attached below is the complete and well written question
answer : The minimal polynomial has degree m + 1 hence Z^m+1
Step-by-step explanation:
Given that
N ∈ L(V) is nilpotent
attached below is the required prove
84563 to 3 significant figures
Answer:
84563 to 3 significant figure is 85,000.
Step-by-step explanation:
In this problem, we need to round off 84563 into 3 significant figures.
Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.
In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.
Hence, 84563 to 3 significant figures is 85,000.
A and B are mutually exclusive events.
P(A) = 0.60 and P(B) = 0.30. What is P(A or B)?
A. 0.90
B. 0.15
C. 0.18
O D. 0.72
The value of P(A or B) if the probabilities are mutually exclusive is 0.9
Mutually exclusive eventsGiven the following probability values shown below;
P(A) = 0.60
P(B) = 0.30
If A and B are mutually exclusive, hence;
P(A or B) = P(A)+P(B)
P(A or B) = 0.6 + 0.3
P(A or B) = 0.9
Hence the value of P(A or B) if the probabilities are mutually exclusive is 0.9
Learn more on mutually exclusive events here: https://brainly.com/question/27588497
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