Answer:
a) see the attached file
b) Coordinates of vertex = (0, 4)
Step-by-step explanation:
Given:
Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]
To sketch: the parabola
To find: coordinates of the vertex
Solution:
As the focus lies on the y-axis and y-coordinate of the focus is positive,
equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]
Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]
According to question,
[tex](h,k+p)=(0,7)[/tex]
[tex]k-p=1[/tex]
So, [tex]h=0[/tex]
[tex]k+p=7\,,\,k-p=1[/tex]
On adding these equations,
[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]
Put [tex]k=4[/tex] in [tex]k+p=7[/tex]
[tex]4+p=7\\p=7-4\\p=3[/tex]
So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]
For part a), see the attached file.
b)
Coordinates of vertex = [tex](h,k)=(0,4)[/tex]
h(x) = 1/x+2 and k(x) = 3x - 4
h[k(x)] =
A.(3x - 4)/(x+2)
B. 1/(4x - 2)
C. 1/(3x - 2)
Answer:
should be b
Step-by-step explanation:
Answer:f(x+2)=3x+2
Step-by-step explanation: See attached photo
Translate the sentence into an inequality.
The product of w and 3 is greater than 15.
Answer:
The product of w and 3 is greater than 15.
(w x 3)> 15
3w>15
Step-by-step explanation:
"Product" signifies multiplication. "of" means w is being multiplied by 3.
Write 5 as a ratio of two integers
The number 5 is a rational number, so you must be able to express it as a quotient, and you can. Dividing any number by 1 gives you the original number, so to express an integer like 5 as a quotient, you simply write 5/1. The same is true for negative numbers: -5 = -5/1
-5 = -5/1
Step-by-step explanation: I believe it’s this I had it right on my question.
how many oats dose he eats?need help
Answer:
96 pounds. 4x 4= 16 x 2= 32 x 3= 96
Answer:
The answer is 96 lbs.
Step-by-step explanation:
4 horses each eat 4 pounds
4 x4 =16
16 pounds twice a day is 32.
To find the total for 3 days, we simply multiply 32 by 3 and the answer is 96.
I hope this helps you.
Classify the following polynomial as a monomial, binomial, trinomial, or none of these. 2xy + 5 Question 16 options: A) None of these B) Binomial C) Monomial D) Trinomial
Answer:
b) Binomial
Step-by-step explanation:
Binomials, Monomials, Trinomials and etc simply denote the number of terms in the expression. In this case, 2xy is one term, and 5 is another term. That is a total of 2 terms, so it is a Binomial.
Answer:
THE ANSWER FOR TODAY IS BINOMIAL
Step-by-step explanation:
i got it on my test dont worry i gotchu
Write each as a percent. Round to the nearest tenth of a percent
Answer:
40%
Step-by-step explanation:
Please solve this long but easy attachment down below!!!!!
2 attachments!!!!
Answer:
1 and 5/6 for first problem
Estimate the product of 67 and 73 by rounding each number to the nearest 10 before multiplying. * 4891 140 4900 5000
Answer:
490 (the estimate)
Step-by-step explanation:
70*70=490
The histogram represents the daily low and high temperatures in a city during March. Which comparison of the distributions is true?
Answer:
c
Step-by-step explanation:
Please help number 9
A living room is 19 feet wide. The carpeted portion of the room is 5x feet long and the adjacent 9) tiled portion of the room is 7y feet long. Use the distributive property to find an expression for the
total area of the living room.
A) 95x + 133y square feet B) 24x + 26y square feet C) 228(x + y) square feet D) 95x + 7y square feet
Answer:
Option A. 95x + 133y square feet.
Step-by-step explanation:
Area of a rectangular room = Length × Width
Length of the room = Length of carpeted portion + Length of the tiled portion
= (5x + 7y) feet
Width of the living room = 19 feet
Area of the living room = (5x + 7y) × 19
= 95x + 133y Square feet [By distributive property]
Therefore, expression for the total area of the living room is option (A).
Solve: A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft.
Write a quadratic function equation that describes the height h at time t.
Write this polynomial in standard form. ax2 + bx + c a≠ 0
Find the maximum height.
Be sure to answer the question using the correct units.
Write a quadratic function equation that describes the height h at time t.
h\left(t\right)=-16t^2+v_0t+h_0
h(t)=−16t
2
+v
0
t+h
0
Answer:
5t² - 16t + h =0
Step-by-step explanation:
During upward projection the final velocity is zero, and the gravitational acceleration is -10 m/s² (against the gravity).
Therefore; using the equation;
S = 1/2gt² + ut
Where s is the height h, g is gravitational acceleration, and t is the time and u is the initial velocity u, is 16 ft/s.
Thus; h= 1/2(-10)t² + 16t
We get; h = -5t² + 16t
Therefore; the quadratic equation is 5t² - 16t + h =0
Plz, mark me brainlest!!
Given QR I PT and LQPR A ZSTR
Prove: APQR – ATSR
HI
Answer:
ΔPQR ~ ΔTSR
Step-by-step explanation:
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50, where m represents the number of miles traveled. Which statement shows the meaning of the driver’s equation? Select two options. Three dollars added to $0.50 is the same as $9.50. Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents. Three dollars more than the quotient of $0.50 and the number of miles is nine dollars and fifty cents. The product of the number of miles and the sum of $3 and $0.50 is equal to $9.50. The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
Answer: The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
Step-by-step explanation:
Hi, to answer this question we have to analyze the equation given:
3.00 + 0.50 m = 9.50
Where m is the number of miles.
The equation states that the fixed fee charged (3.00) plus the product of the value of each mile traveled (0.50) and the number of miles traveled (m); is equal to 9.50.
So, the correct statements are:
The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents. Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.Feel free to ask for more if needed or if you did not understand something.
Answer:
B and E
Step-by-step explanation:
i am literaly looking at my grade and answers and got a 100
edgnuity people
In the diagram below, AB is parallel to CD. What is the value of y?
A
60%
BA
D
O A. 30
OB. 60
O C. 120
D. 90
The value of angle y is equal to 60°
What is alternate interior angles?Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
What is alternate interior angle theorem?The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
According to the question
AB is parallel to CD
and the line intersect AB and CD is transversal line
Therefore ,
∠y , 60° are Alternate Interior Angles .
Now ,
According to the Alternate Interior Angles Theorem
When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
Therefore,
y = 60°
Hence. The value of angle y is equal to 60° .
To know more about Alternate Interior Angles Theorem here:
https://brainly.com/question/18304277
#SPJ2
When the factors of a trinomial are (x - p) and (x + q) then the constant term of the trinomial is: A. The product of -p and q B. The sum of -p and q C. The difference of -p and q D. The quotient of -p and q
Answer:
A
Step-by-step explanation:
(x-p)(x+q) =
X^2+xq-xp-pq
-pq is the constant
Find the value of x for the triangle below.
Answer:
x = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite/ hypotenuse
sin 30 = 5/x
Multiply each side by x
x sin 30 = 5
Divide by sin 30
x = 5/sin 30
x = 10
Answer:
Step-by-step explanation:
in the given triangle . one angle is 90 degree and other angle = 30
therefore third angle = 180 - 120 ( angle sum property of a triangle)
third angle = 60 degree
sin 30 = 5 / x (1)
cos 30 =third side /x (2)
from 1 * 2 we get ,
SIN 30 * COS 30 = 5/X * THIRD SIDE / X
1/2 *[tex]\sqrt{3}[/tex]/2 = 5 * THIRD SIDE / X^2
[tex]\sqrt{3}[/tex] * X^2/10 = THIRD SIDE
BY APPLYING PYTHAGORUS THEOREM
X^2 = 5^2 + [ [tex]\sqrt{3}[/tex] * X^2/10]^2
X^2 = 25 + 3x^4/100
x = square root of 25 + 3x^4/100 = 5+[tex]\sqrt{3}[/tex]x^2/10
x= 5+ [tex]\sqrt{3}[/tex] * x^2/10
Solve for y in the equation: 3y=9
Answer:
y=3
Step-by-step explanation:
3y=9
Divide each side by 3
3y/3 = 9/3
y = 3
Answer:
3
Step-by-step explanation:
3y=9
take the 3 and divide it by 9 and you will get 3
And y=3
I hope this is right
Find the 53rd term of the arithmetic sequence
−
12
,
−
1
,
10
,
.
.
.
−12,−1,10,...
Answer:
560
Step-by-step explanation:
When solving 4x – 3 = 5, the property used in the first step is the ________ property of equality. Question 13 options: A) transitive B) division C) substitution D) addition
Please look at the picture and help me
Answer:
72
Step-by-step explanation:
it is equivalent to the other angle
Sketch the graph of = 3 on the axes below:
The graph should look the the one I attached to this answer
Need help with the question, I already have the degree and leading coefficient but not the constant term for this polynomial. f(x) = −2 + x^3 −3x^7 + 6x^6 Degree: 7 Leading Coefficient: -3 Constant Term: ?
Will mark brainliest for whoever answers ^
Answer:
B 1,3,9,27
Step-by-step explanation:
This is because a geometric sequence is multiplying or dividing by the same number throughout the sequence and this one is multiplying by 3.
PLEASE HELP WILL GIVE BRANLIEST!!! Question is above:)
Answer:
x = 3
Step-by-step explanation:
Rectangle = length*width = 3(x+12) = 3x+36
Triangle = length*width/2 = 2x*5/2 = 5x
Since the rectangle is 3 times the triangle, thjat gives us:
3x+36 = 3(5x) -> 3x + 36 = 15x
Isolate x and solve:
36 = 12x
x = 3
What is the scale factor of ABC to ADEF?
Answer:
D. 1
Step-by-step explanation:
PLEASE ANSWER I AM POSTING THIS QUESTION FOR THE 3rd TIME WILL GIVE BRAINLIEST
1. A line has a slope of 3/7, and its y-intercept is (0,18). What is its x-intercept?
2.
3.
Answer:
1) (-42,0)
2) 2x-y=4
3) y-2x=-3
Step-by-step explanation:
y=mx+b
y=3/7x+18
-18=3/7x
x=-42
(It may be wrong because I am sort of rusty on this stuff)
What is the equation for the line of reflection?
Answer:
Y = m(x − xQ) + yQ
Step-by-step explanation:
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply. The sphere has a radius of 4 cm. The sphere has a radius of 16 cm. The diameter’s length is twice the length of the radius. The radius’s length is twice the length of the diameter. The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi centimeters cubed. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.
Answer:
1,2,4
Step-by-step explanation:
Answer: The sphere has a radius of 4 cm.
The diameter’s length is twice the length of the radius
The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.
// * PLEASE ANSWER * // AB is tangent to circle C. Find AC to two decimal places.
Answer:
19.92
Step-by-step explanation:
To find the length of AC we need to use the Pythagorean theorem: a^2 + b^2 = c^2
a = 6 b = 19
a^2 = 36
b^2 = 361
36 + 361 = 397
c^2 = 397
to find c we take the square root of 397
[tex]\sqrt{397} = 19.9248588452[/tex]
take the first 2 decimals for the answer
lizzy borrowed $900 at 18% interest for christmas gifts. how much will she owe in total after 3 years?
Answer:
$1478.73
Step-by-step explanation:
Use the compound amount factor and assume compounding once per year. Then:
A = $900(1 + 0.18)^3
= $1478.73 due after three years.
Answer:
= $1478.73 or = $1478.72
Step-by-step explanation:
Credit companies charge daily but you only mention yearly question so i will show you yearly and monthly and daily as 3 separate methods.
For years
we use the expression a x {(+1) + b} ^t = 900 x 1.18^3
For months
we use the expressions a x {( +1) +b ^t * 12
We keep to yearly interest
And prove 900 x 1.18^3 = 1478.7288
= $1478.73
Generally, credit companies round down to $1478.72
We work out a yearly rate = 18% interest and divide amount borrowed by 18%
900/18 = 50
then whatever is paid we minus this from the $900 = 900 x 50 = 45,000
50 x 365 = 18,250 owed if no payments were met if agreed to pay monthly but before end of the 3 year contract = meaning if paid at end of month 12- before start of month 13 the 360th day.
