The equation of directrix of the parabola will be x = -4.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
Vertex of parabola = (0, 0),
Focus of the parabola = (4, 0),
Now,
The Equation of directrix is given by y = -a
Where,
The equation of the parabola, [tex]y^2 = 4ax[/tex],
And,
Focus at (a, 0),
i.e. a = 4 (As the given focus is (4, 0))
And,
The axis of the parabola is the positive x − axis.
So,
The equation of the directrix of this parabola,
x + a = 0,
i.e.
x + 4 = 0
⇒
x = -4
Hence, we can say that the equation of directrix of the parabola will be x = -4.
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Triangle A B C is shifted to the left to form triangle A prime B prime C prime. Triangle A prime B prime C prime is then dilated to form larger triangle A double-prime B double-prime C prime.
Determine the similarity transformations that verify △ABC ~ △A''B''C'.
The first transformation mapping △ABC to △A'B'C' is a
.
The second transformation mapping △A'B'C' to △A''B''C' is a
Answer:
its d and c
Step-by-step explanation:
Answer:
translation left,
dialation with center C
Step-by-step explanation:
Given this expression:
[tex]8 {x}^{3} + 16 {x}^{2} - 4x + 25[/tex]
what is the coefficient with the
[tex] {x}^{2} [/tex]
term.
Answer:
the coefficient of x^2 is 16
Step-by-step explanation:
is the number in front of the variable and exponent
i need help bad so please help
Answer:
7
Step-by-step explanation:
Answer:
The answer to this would be +7 yards
Step-by-step explanation:
I tried my best...please mark me brainliest and I hope you have a fantastic day!
will give brainliest
Answer:180 degrees
Step-by-step explanation:
Does the table or graph represent a linear or nonlinear function?
Explain.
PLS ANSWER WILL GOVE BRAINLEST!
An exponent fiction has a base of 3/4 and a y- intercept of -5. Write an equation of the exponential function.
Find the tip:
A $32 meal with a 15% tip
Tip = $ ____
Answer:
$4.80
Step-by-step explanation:
$32 × 0.15 = $4.80
The area of a rectangular trampoline is 135 ft. The length of the trampoline is 6 ft
greater than the width of the trampoline. This situation can be represented by the
equation w2 +6w
135 = 0.
What is the width of the trampoline, in feet?
5 feet
15 feet
6 feet
9 feet
The width of the given trampoline is 9 feet, and which area is 135 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The equation w² +6w -135 = 0 can be factored as (w+15)(w-9) = 0.
Therefore, the solutions for w are w = -15 or w=9.
Since the width of the trampoline cannot be negative, we can conclude that the width of the trampoline is 9 feet.
To confirm this, we can calculate the length of the trampoline using the given information that the length is 6 feet greater than the width:
length = width + 6 = 9 + 6 = 15 feet
Then we can verify that the area is indeed 135 ft²:
area = length x width = 15 x 9 = 135 ft²
Therefore, the width of the trampoline is 9 feet.
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What is one-half of the product of the following?
Answer:
-2/3 is the right answer
What is the value of x?
A. 3√
B. 21−−√
C. 9
D. 15
Answer:
x = 15
Step-by-step explanation:
Because PQ is parallel to JL, [tex]\frac{KP}{PJ} = \frac{KQ}{QL}[/tex]
Substituting, we have [tex]\frac{x-6}{3} = \frac{x}{5}[/tex]
5(x-6) = 3x
5x - 30 = 3x
2x = 30
x = 15
Answer:
x = 15
Step-by-step explanation:
Because PQ is parallel to JL,
Substituting, we have
5(x-6) = 3x
5x - 30 = 3x
2x = 30
x = 15
Which method
HL
Asa
Sas
Sss
Aas pls help
Answer:
Step-by-step explanation:
ASA because you have the given angles and sides ≅ and the vertical angles are also ≅
Answer:
ASA
Step-by-step explanation:
Since you have already proved two pairs of consecutive angles and sides congruent, you can also prove vertical angles congruent.
How do you simplify 4ab + 13bc
Answer:
you cant
Step-by-step explanation:
its already simplified from the way its written
b(4a + 13c) is the simplified form of the expression 4ab + 13bc
To simplify the expression 4ab + 13bc, we can factor out the common term "b" from both terms:
4ab + 13bc = b(4a + 13c)
By factoring out the common term "b", we obtain the simplified form b(4a + 13c).
This represents the original expression in a more concise and factored form.
Hence, the simplified form of the expression 4ab + 13bc is b(4a + 13c) by taking the common term b
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help plz due very soon
Answer: x-3
Step-by-step explanation:
Will Give Brainliest If You Solve This For Me
Answer:
for the first equation make it y=2x+2
the second y=2x+-6
Step-by-step explanation:
Answer:
The two equations are y = - [tex]\frac{1}{2}[/tex] x + 1 and y = [tex]\frac{1}{2}[/tex]x + 3
Step-by-step explanation:
x + 2y = 2
2y = - x + 2
y = - [tex]\frac{1}{2}[/tex] x +1
x - 2y = - 6
-2y = - x - 6
2y = x + 6
y = [tex]\frac{1}{2}[/tex] x + 3
17505 rounded to the nearest 100
Answer:
17500
Step-by-step explanation:
Cos my pancakes told me
The population of a town in Devon was 2000.
A few years later, the population went down to 1800.
Find the percentage decrease.
Answer:
10%
Step-by-step explanation:
On Tuesday Gabriella bought ten posters, On Wednesday half of all the posters that she had were destroyed.
On Thursday there were only 19 left. How many did she have on Monday?
Andy’s dog weighs 27 pounds, which is 3/4 the weight of Seher’s dog. How many pounds does Seher’s dog weigh?
Answer:
20.25 lbs
Step-by-step explanation:
Multiply 27 by 3/4 or .75 to equal 20.25.
Answer:
36 pounds.
Step-by-step explanation:
Suppose Seher's dog weigh x pounds, here is an equation:
27=[tex]\frac{3}{4}[/tex]x
multiply 4 on both sides and dividing 3 on both sides, we get:
36=x
we flip this around:
x=36
So, Seher's dog weighs 36 pounds.
(Hope you like my answer and explanation)
Use the graph to write a linear function that relates y to x.
y=
Answer:
y= -3x+1
Step-by-step explanation:
y=mx+b
find m: (y2-y1)/(x2-x1)
pick any two points: (-1,4) and (0,1)
plug them in: (4-1)/(-1-0)= -3=m
b is the y intercept which is 1=b
plug these into the equation for a line y=mx+b
y=-3x+1
What is the image point of (0,8) after a translation right 3
units and down 5 units
Answer:
3,3
Step-by-step explanation:
moving right changes x (0) by adding 3 to equal 3
moving down changes y (8) by subtracting 5 to get 3
HELP PELASE ASAPppppp
The length of a rectangle is 3 inches less than three times its width. The perimeter of the rectangle is 34 inches. Find the dimensions of the rectangle
Given:
The length of a rectangle is 3 inches less than three times its width.
The perimeter of the rectangle is 34 inches.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, the length of a rectangle is 3 inches less than three times its width.
Length of the rectangle = 3x-3
Now, perimeter of the rectangle is
[tex]Perimeter=2(Length + Width)[/tex]
[tex]Perimeter=2(3x-3+x)[/tex]
The perimeter of the rectangle is 34 inches.
[tex]34=2(4x-3)[/tex]
[tex]34=8x-6[/tex]
[tex]34+6=8x[/tex]
[tex]40=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{40}{8}=x[/tex]
[tex]5=x[/tex]
The value of x is 5. So, width of the rectangle is 5 inches.
[tex]Length=3x-3[/tex]
[tex]Length=3(5)-3[/tex]
[tex]Length=15-3[/tex]
[tex]Length=12[/tex]
Therefore, the length of the rectangle is 12 inches and the width of the rectangle is 5 inches.
What is the simplest form of 12/54
Answer:
2/9
Step-by-step explanation:
Answer:
reduce it
six goes into both evenly
2/9
what is the property pls help
Answer:
B
Step-by-step explanation:
Because its addition
Answer:
I'm pretty sure it's B). Additive identity Property.
Step-by-step explanation:
If it isn't let me know.
please help me with this problem been stuck on it for about 15 mins and getting stressed out
Step-by-step explanation:
[tex]given \: \\ ({a}^{5} )^{5} \\ = {a}^{5 \times 5} \\ = {a}^{25} \\ hope \: it \: will \: help[/tex]
Which equation represents the line that passes through (0,0) and is perpendicular to y= -4/3x + 3
Answer:
y=3/4x
Step-by-step explanation:
pls help me this is hard
Answer:
l= 16
b=14
h=20
area to be painted= 2(l+b)h
=2(30)20
60×20
1200sq feet
The square of the difference between a number and 10.
Answer:
an integer
Step-by-step explanation:
it is the correct answer
Algebra 2 , what’s the answer ?
Answer:
what are you looking for???
theres nothing to answer??
A cookie recipe requires 2 pounds of butter to make 18 dozen cookies. If a baker wants to make only 3 dozen cookies, which proportion can he use to find b, the number of pounds of butter he needs.
2/18 = b3
5/18 = b3
2/18 = 3b
3/18 = 2b