A parabola has focus (5,7) and directrix y=0(the X-axis). Write an equation that says point (x,y) is on the
parabola.
Answer:
Step-by-step explanation:
focus of the parabola is (2,0) and directrix is x=-2. Here,a=2.So, Equation becomes, y2=4∗2x⇒y2=8x, which is the required equation of parabola.
The equation of a parabola with the given focus and directrix is x²-10x+74=14y.
What is an equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line
Given that, a parabola has focus (5,7) and directrix y=0.
When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by (x-h)²+k²-c²=2(k-c)y
Here, y=c=0
Now, (x-5)²+7²-0²=2(7-0)y
x²-10x+25+49=14y
x²-10x+74=14y
Therefore, the equation of a parabola is x²-10x+74=14y.
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(5,7) (7,9) find slope
Answer:
1
Step-by-step explanation
Since you are given two points you can calculate the slope by use the formula Y1-Y2/X1-X2.
In this case:
Y1 = 5
Y2 = 7
X1 = 7
X2 = 9
(5-7)/(7-9) = -2/-2 = 1
These figures are similar. The area of one is given. Find the area of the other.
Answer:
100 in^2
Step-by-step explanation:
(15/21)^2 x 196 = 100
Find the median. 12,5,9,18,22,25,5
Answer:
The answer is 12.
Answer:
12
Step-by-step explanation:
To Find Median;
Arrange data values from lowest to highest valueThe median is the data value in the middle of the setIf there are 2 data values in the middle the median is the mean of those 2 values.Solve;
Least to Greatest:
5, 5, 9, 12, 18, 22, 25
5, 5, 9, 12, 18, 22, 25
5, 5, 9, 12, 18, 22, 25
5, 5, 9, 12, 18, 22, 25
Hence Median = 12.
[RevyBreeze]
Jackson drove 445 miles on the first day of a two day trip. If the total distance of the trip is 955
miles, how far will Jackson need to drive to reach his destination on the second day?
Answer:
510 miles
Step-by-step explanation:
miles to drive on second day = total distance - miles driven on first day
= 955 - 445
= 510 miles
Answer:
510 miles!
Step-by-step explanation:
If Jackson already drove 445 miles on the first day, the remaining amount of miles is how much further he will have to drive to reach his destination.
Subtraction[tex]955-445[/tex]
[tex]=510[/tex]
AnswerJackson will need to drive 510 miles on the second day to reach his destination,
Which is true about measurements in manufacturing? POSSIBLE ANSWERS: Product quality is not affected by size. Size is not adversely affected if a measurement is off by an inch or two. Some products do not require a high degree of accuracy. Accurate measurements do not require a lot of time or energy.
Answer:
A. Product quality is not affected by size.
Step-by-step explanation:
This statement is true because the quality of a product is not a measure of its size, which is a quantifiable factor. This means that we can have a very small-sized product which has very good quality. Size also depends on the product being manufactured. Quality is rather measured by how good the materials used in the production are.
If inferior materials are used in the production, then the product, no matter how small or big they are, would lack quality. To obtain a good and accurate measurement, a lot of time and energy should be invested.
Kira received a $45.75 gift card for a photo center. She used it to buy prints that cost 20 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following function.
B(x) =45.75-0.20x
What is the remaining balance on the card if Kira bought 30 prints?
Answer:
$39.75
Step-by-step explanation:
0.2 X 30 = 6
45.75 - 6 = 39.75
Which expression is equal to the expression below?
(2• 6) 4
O A. 84
B. 24.64
O c. 4. (2.6)
OD. 2. (6)
Answer:
48
Step-by-step explanation:
(2*6)4
(12)4
48
Hoped it helped :)
The correct expression is equal to the given expression is,
⇒ 2⁴ × 6⁴
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Expression is,
⇒ (2 × 6)⁴
Now, We can simplify as;
⇒ (2 × 6)⁴
⇒ 2⁴ × 6⁴
Thus, The correct expression is equal to the given expression is,
⇒ 2⁴ × 6⁴
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Describe the transformation in g(x) = −3(x) as it relates to the graph of the parent function.
vertical translation:
horizontal translation:
dilation:
reflection:
Please solve the question below!
Write the equation of a line in slope-intercept form that crosses through the points (-3, -7) and (12, 3)
Step-by-step explanation:
Hey there!
The points through which the line passed are; (-3,-7) and (12,3).
Note: Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Keep all values.
[tex](y + 7) = \frac{3 + 7}{12 + 3} (x + 3)[/tex]
Simplify it.
[tex](y + 7) = \frac{10}{15} (x + 3)[/tex]
[tex](y + 7) = \frac{2}{3} (x + 3)[/tex]
[tex]y + 7 = \frac{2}{3} x + 3 \times \frac{2}{3} [/tex]
[tex]y = \frac{2}{3} x + 2 - 7[/tex]
[tex]y = \frac{2}{3} x - 5[/tex]
Therefore, the required equation is; y = 2/3x - 5.
Hope it helps...
write and solve an equation.
The current temp is 54•F. It's expected
to rise 2.5•F each hour. In how many
hours will the temp be 84•F
Answer:
12
Step-by-step explanation:
84-54=30
30/2.5=12
3500 ÷ (34 + 8 × 2) - 4
Answer:
3500
34+(8)(2)
−4
=66
198.25 rounded to the nearest tenth
Answer:
198.3
Step-by-step explanation:
the tenth digit =198.25
the digit 5 behind the tenth digit is equal or above 5
therefore 1 is added to the tenth digit that is the digit 2
What are the x-intercepts of y = 2x² + 15x + 7?
Jack rides A bike 8 miles and 3/4 of an hour . Use Vocabulary for unit rates and fractions to explain how to find jacks speed in miles per hour. Then find jacks speed
Monica has saved $3500 to open a cupcake shop. She must pay a security deposit of $800 and
$500 each month for rent. How many months will Monica's savings last?
Answer:
4 months
300 off of 5th month
Step-by-step explanation:
$3500-800= 2,700
2,700-500=2,200
4 months or 500 x 4= 2,000
2,000 - 2, 200= 200
GST is charged at a rate of 10% in Australia. if the cost price before tax for a pair of boots is $72.00, how much GST will be added to your bill?
please answer this question it's very urgent please
Answer:
$7.20 will be added
Step-by-step explanation:
Multiply 72 by 1.10
72 x 1.10=79.20
Subtract that by 72
79.20-72=7.20
Given m||n, find the value of x.
Plz help :)
Answer:
x is = 25° by complimentary angles
Write the expression in exponential form
Answer:
The basic formula is y=bx y = b x . This can be where 25 is equal to 5 times 5, or 1000 is equal to ten times ten times ten, and can then be written as 52 5 2 or 103 10 3 . The number that is repeated is called the base, and the number of times it repeats is called the exponent, power, or degree.
3(x - 1) = 2x + 9
Do this equation have one solution, many solution, or no solution?
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The coefficients of x are different on each side of the equal sign, so this equation has one solution.
_____
Additional comment
If the x-coefficients are the same on each side of the equal sign, then you need to look at the constants. If they are the same, there are an infinite number of solutions; if they are different, no solutions.
This equation simplifies to ...
3x -3 = 2x +9
x = 12 . . . . . . . . add 3-2x to both sides
The solution of expression by applying distributive property and combining like terms,
⇒ x = 12
Given that,
The mathematical expression is,
⇒ 3(x - 1) = 2x + 9
Now, simplify the expression by applying distributive property and combining like terms,
⇒ 3(x - 1) = 2x + 9
Apply distributive property,
⇒ 3x - 3 = 2x + 9
Combine like terms,
⇒ 3x - 2x = 9 + 3
Therefore, the solution of expression is,
⇒ x = 12
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Claudia added an equilateral triangle shape that is one inch high and one inch wide to a slide in her presentation. She clicked in the Shape Height box, typed 3, and then pressed ENTER. What happened to the shape
The effect of Claudia's changing the height of of the triangle from 1 inch
to 3 inches is the option;
The height of the triangle changed to three inches but the width remained 1 inchWhich option gives the effect of changing the height?The given dimensions of the equilateral triangle Claudia added are;
Height of the triangle = 1 inch
Width of the triangle = 1 inch
The value Claudia typed in the Shape Height box = 3
Required:
What happened to the shape after she press Enter
Solution:
By entering 3 in the Shape Height box, changes the height of the
equilateral triangle to 3 inches but the width remains 1 inches
From a similar question posted online, the correct option is therefore;
The height of the triangle changed to three inches but the width remained 1 inchLearn more about triangles here:
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find the missing length indicated
(help me find x)
Answer:
=> x = 192
Step-by-step explanation:
[tex] \frac{144}{x} = \frac{x}{256} [/tex]
therefore we cross multiply x • x and 144 multiply 256
[tex] {x}^{2} = 144 \times 256[/tex]
multiply 144 by 256
[tex] {x}^{2} = 36864[/tex]
take √ 36864
[tex]x = 192[/tex]
What is the equation of the line that passes through the point (-5,7) and has a
slope of -2/5
Answer:
The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5
Step-by-step explanation:
In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.
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Answer:
[tex] \: \: \: \: \: \: \: [/tex]
I'm From Philippines
I hope we can be friends.
Which numbers are factors of 15? help me out here!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hello
they are
1 - 3 - 5 and 15
Step-by-step explanation:
25 points!! :))
15% of what number is 900?
60
13,500
6,000
Answer:
6,000
I hope this helps u!
Answer:
6000 is the answer!
Find the difference 9/x+1 - 2x/x+1
Answer:
I think the answer is 9-2x/x+1
10 friends decided to buy a joint gift for their best friend. But as it happens, the two gave up and decided to buy her a present themselves. Thus, the remaining 8 friends had to add 50 dollars each to buy the gift.
How much did the gift cost?
Answer:
The answer is $2000
Step-by-step explanation:
8 had to give an extra $50 each.
8 x 50 = 400
400 ÷ 2 ( the two that changed their mind) = 200
Each person was to give $200
10 × 200 = 2000
Solve system of equations
3x+6y=18
X+3y=15
Answer:
x = - 12, y = 9
Step-by-step explanation:
Given the 2 equations
3x + 6y = 18 → (1)
x + 3y = 15 → (2)
Multiplying (2) by - 3 and adding to (1) eliminates the term in x
- 3x - 9y = - 45 → (3)
Add (1) and (3) term by term to eliminate x
- 3y = - 27 ( divide both sides by - 3 )
y = 9
Substitute y = 9 into either of the 2 equations and evaluate for x
Substituting into (2)
x + 3(9) = 15
x + 27 = 15 ( subtract 27 from both sides )
x = - 12
Solution is (- 12, 9 )
ILL GIVE BRAINLIEST IF YOU ANSWER PLEASE!!!
What is the aspect ratio of a rectangle that is 6.5 inches by 2.5 inches? What if, you wanted another rectangle with the same aspect ratio, however, with a shorter side length of 20 inches. What would be the measure of the longer side?
Answer:
Aspect Ratio:13:5
Answer: 52 inches
Step-by-step explanation:
The aspect ration is the ratio between the sides which is 6.5:2.5 or 13:5.
Now we know the shorter side is 20 inches, and our aspect ratio basically means shorter side is 5x and longer side is 13x. well putting 5x=20, we get x=4. So the longer side, 13x, is 52 inches.