Answer:
(x - 4)² = 24y
Step-by-step explanation:
In a parabola with focus at (x, y) and directrix at y = k - p, we can write;
Focus: (h, (k + p))
Directrix: y = k - p
We are given focus at (4, 6)
Thus;
h = 4 &
k + p = 6 - - - (1)
Also, directrix at y = -6
Thus;
k - p = -6 - - - (2)
Adding eq(1) and eq(2) together gives us;
2k = 0
k = 0
Thus, p = 6
The equation takes the formula;
(x - h)² = 4p(y - k)
Plugging in the relevant values;
(x - 4)² = 4(6)(y - 0)
(x - 4)² = 24y
Answer:
(x-4)^2=24y
Step-by-step explanation:
I took the test and got it right.
10. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5x + 6 = 7x + 5 - 2x original equation
5x + 6 = 7x - 2x + 5 apply the commutative property
5x + 6 = 5x+5
combine like terms
6 = 5
subtract 5x from each side
What can Han conclude as
result of these acceptable steps?
A. There's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.
B. Any value of x can make the equation 5x + 6 = 7x + 5 - 2x true.
C. x = 6 is a solution to the equation 5x + 6 = 7x + 5 – 2x.
D. x = 5 is a solution to the equation 5x + 6 = 7x + 5 – 2x.
Answer:
There's no value of x that can make the
equation 5x + 6 = 7x + 5 – 2x true.
Hence, option 'A' is true.
Step-by-step explanation:
5x + 6 = 7x + 5 - 2x
5x + 6 = 7x - 2x + 5
5x + 6 = 5x+5
substract 5x from each side
5x-5x+6=5x+5-5x
6 = 5
This conclude that the sides of the equation are not equal.
i.e. L.H.S ≠ R.H.S
We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.
Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.
Hence, option 'A' is true.
Write an equation of a line through (4,-1), parallel to y = 1x – 5
If p = 2 and q = 8, the value of p3 + V64 q ls____
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
Which number line correctly shows –3 – 1.5?
Answer:
A
Step-by-step explanation:
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
6:1
18:3
3:18
1:6
Answer:
1/6
Step-by-step explanation:
Graph the equation.
y=2x+5
Answer: you can use the table of values. And just plug these in
Step-by-step explanation:
x values: -2, -1, 0, 1, 2
Y values: 1,3,5,7,9
You're welcome! :)
Sorry I couldn't insert a picture.
Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.
Answer:
Ya it’s the third one/ bottom one/ C.
Step-by-step explanation:
If u want one I will give it but if not then there is the answer
What is the missing angle? PLS HELP
Answer:
70
Step-by-step explanation:
please help meh im so bad at this stuff lol
Answer:187.5
Step-by-step explanation: I am bad at explaining but il try.
if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.
2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.
Very lost on this one! Anyone know?
Answer:
60
Step-by-step explanation:
In this case, all of the sides are equal. All sides should add up to 180 degrees.
x+x+x=180
180/3= 60
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
How do you change a linear function based on changes in the real world?
Answer:
Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.
Step-by-step explanation:
Find the slope of the given table
Answer:
7/3
Step-by-step explanation:
6- 13 = -7
0-3 = -3
7/3
What Symbol makes them true sentence
Answer: B
Step-by-step explanation:
5x + y = 7
y - intercept = ?
Answer:
y-intercept is = 7
Step-by-step explanation:
WHAT HAPPENED ON THE DAY JUNE 6? PICK ANY YEAR
Answer:
D-Day in the year 1944.
Step-by-step explanation:
None, this is self explanatory! Check web sources for more ^^
Answer:
1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.
Step-by-step explanation:
Look it up.
BRAINLIEST AND 40 POINTS PLZ HELP I NEVER GET HELP
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units
Answer:
6.4
Step-by-step explanation:
Find the equation of the line through point (10,4) and parallel to 3x+5y=8.
[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.
How to solve equation of the line through point and parallel to a given line?We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .
Given
Equation of the line is 3x + 5y = 8.
Point = (10, 4)
First we find the slope of the line 3x + 5y = 8 by replacing it into slope intercept form:
[tex]3x + 5y = 8[/tex]
⇒ [tex]5y = -3x + 8[/tex]
⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]
Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].
Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]
⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]
⇒ [tex]5(y-4)=-3(x-10)[/tex]
⇒ [tex]5y-20=-3x+30[/tex]
⇒ [tex]3x+5y=30+20[/tex]
⇒ [tex]3x+5y=50[/tex]
Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.
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Abby has 96 photos from her vacation. She wants to make a scrapbook that has 24 pages with the same number of photos on each page.
Answer:
There will be 4 photos on each page
Step-by-step explanation:
96/24=4
1000¥ (Japanese Yen) is equivalent to $8.00. A shirt costing 650¥ would cost how many dollars?
Answer:
5.20
Step-by-step explanation:
I took a test and that was the answer
PLEASE HELP!Choose the slope and y-intercept that
correspond with the graph.
Click on the correct answer
HURRYYY HELPP!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Answer:
b
Step-by-step explanation:
can someone please help.. will mark brainliest !
Consider the expression –3(y – 5)2 – 9 + 7y.
Which statements are true about the process and simplified product? Check all that apply.
The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.
Answers:
B) There are 3 terms in the simplified product.
E) The final simplified product is –3y2 + 37y – 84.
The true statements are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product.
How to Simplify The Product of Polynomials?Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:
–3(y – 5)(y – 5) – 9 + 7y
-3y² + 30y - 75 - 9 + 7y
Combine like terms
-3y² + 37y - 84 (three terms)
Therefore, the statements that are true are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product
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WILL GIVE BRAINLIEST PLEASE ANSWER
A parallelogram is dilated by a scale factor of 1/4 to produce a new parallelogram. Which of the following best describes the relationship of the area of the new parallelogram to the area of the original parallelogram?
The area of the new parallelogram is 1/2 the area of the original parallelogram.
The area of the new parallelogram is 1/4 the area of the original parallelogram.
The area of the new parallelogram is 1/16 the area of the original parallelogram.
The area of the new parallelogram is 1/8 the area of the original parallelogram.
Answer: The answer is 1/6.
Step-by-step explanation:
1/4 ^2 = 0.0625 which = 1/16.
The area of the new parallelogram is 1/16 the area of the original parallelogram statement best describes the relationship of the area of the new parallelogram to the area of the original parallelogram.
When a shape is dilated by a scale factor of "k," the area of the new shape is equal to the original area multiplied by the square of the scale factor.
The given scale factor is 1/4.
Therefore, the area of the new parallelogram would be (1/4)² = 1/16 of the area of the original parallelogram.
Hennce, "The area of the new parallelogram is 1/16 the area of the original parallelogram."
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Which expression is a perfect cube?
mc013-1.jp g
mc013-2.j pg
mc013-3.j pg
mc013-4.jp g
Answer:
B on edge
Step-by-step explanation:
Got its right on the test
(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]
Perfect Cube:Numbers that are the triple product of the same number are known as perfect cubes. In other words, the value produced by multiplying a whole number by three times itself is a perfect cube. A number that may be expressed as three times the product of another integer is referred to as a perfect cube.Expression -An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].
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In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
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A metal plate measuring 32cm by 12cm is cut into
small squares of side length 4cm. How many squares will
be cut?
Answer:
24
Step-by-step explanation:
First find the area of the metal plate: 32*12=384
Find the are of each small square to see how much space it takes: 4*4=16
Divide the two to see how many can fit: 24
Tell me if you have any questions!
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Area of the metal plate = [tex] L \times B [/tex]
= [tex] 32cm \times 12cm \\ 384cm^{2} [/tex]
Area of small squares = [tex] a^{2} [/tex]
[tex] 4cm \times 4cm \\ =16cm^{2} [/tex]
Number of squares that can be cut =
[tex] \frac{384cm^{2} }{16 {cm}^{2} } = 24[/tex]
Hence 24 squares can be cut.
Explain why a + b = d.
B
A
C
swer
Answer:
Explanation below
Step-by-step explanation:
Angles in a Triangle
There are two basic relations of angles we need to recall:
Supplementary angles add up to 180°Internal angles of a triangle add up to 180°Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
Rectangle JKLM undergoes a sequence of transformations, resulting in rectangle J’K’L’M’. The length of side K’L’ is 6 units. The coordinates of vertex K’ are (-3, 2), and the coordinates of vertex M’ are (3, -2). Describe a sequence of transformations to rectangle JKLM that would result in rectangle J’K’L’M’.
Answer:
J,F,K
Step-by-step explanation:
J,F,K
A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.
What is a rectangle?A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.
Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.
The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.
This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.
Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.
This will result in the length of side K'L' being 6 units.
Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).
Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.
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