Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
To know more about Parabola:
https://brainly.com/question/21685473
#SPJ2
(3a²b)³ 5678910111213141516171819209
The Ferrari Testarossa and the Porsche 911 Turbo are 400 miles apart and headed straight toward each other. The Ferrari is going 120mph, and the porsche is going 130 mph. How many hours will it take for the accident to occur?
Answer:
1.6 hours
Step by step explanation;
1 hour would make them only 150 miles apart, 60% of 120 and 60% of 130 added together is 150 mph, so 1.6 hours
Hope this helps :)
What kind of angles are 4 and 5
I’m confused someone please help!
Answer:
it would be 4 days
frequency is the number of days in this problem
the number of questions is on the bottom part and the days are on the left part
May I please receive help?
Answer:
68
Step-by-step explanation:
Hey your so polite and it’s appreciated! First mark other side of angle (right) as 28. 180-56 = 124. Since other side is smaller don’t make it equal. So it has to be higher than 61. So it’s 68! hope this helps !
What are the x- and y-intercepts of f(x)=x^2-49?
Can you help me please
109% of 11
Answer:
11.99
Step-by-step explanation:
In the triangle, m∠JKL = 3° and m∠KJL = 17°. Find m∠JLM.
Answer:
160
Step-by-step explanation:
the middle letters ttell you which corner of the triangle has that degree.
all corners added together must equal 180 in a triangle
jkl has k in the middle so k is 3°
kjl has J in the middle so J is 17°
jlm has L in the middle and is unknown
K + J + L = 180
3+17+L = 180
20 + L = 180
L = 160
Answer:160 degrees
Step-by-step explanation:
180-3-17=160
All triangles neasure 180 degrees
Alice earns $185 for working 14.8 hours each week. How much money will Alice earn if she increased her hours to 18 1/2 hours per week?
:)
Step-by-step explanation:
185 is to 14.8 as x is to 18.5
185/14.8 = x/18.5
x = 185(18.5)/14.8
x = $231.25
find the measure of the angle.
A. Integer
B. Rational Number
C. Natural Number
D. Irrational Number
Answer:
b
Step-by-step explanation:
b b b b b b b b b b b b b b b b b b b b b b b b
can someone tell me the answer i kneed help no scams
yh is the goat and the most likely part in a world of a home and the family will not have much of the
find the volume and surface area of prism
Follow up from the attachment.
Figure 2
Surface area:319cm²
Volume:184cm²
what are four different kinds of graphs and what makes them unique?
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs
Answer:
A pie chart is to illustrate numerical proportion.
Line graphs are used to track changes over short and long periods of time.
Bar graph is a graph that presents categorical data.
Scatter plots' uses are to observe and show relationships between two numeric variables.
Step-by-step explanation:
:)
write an equation of the line that has each pair of intercepts
x-intercept: 6 y-intercept: 3
Answer: y = 6x+3
Step-by-step explanation:
Hope this helps you!!!!!
OMGGG PLS HELP ME WITH THIS QUESTION PLS PLS PLS!!! WILL MARK BRAINEST AND PLS PLS PLS DO EXPLAIN!!!
Answer:
38
Step-by-step explanation:
-(5×-7-3)
-(-35-3)
-(-38)
38
Factor the polynomial x^2 + 4x + 4
The number which is subtracted from a given number is called the
Answer:
the subtrahend
I actually read it one time on wikipedia
Please help! I'll mark Brainliest.
I just need to know what G and F are! Or how to find them? I'm being timed!
Answer:
G and F are the lines I guess? You have to use them to answer the rest of the questions.
What is the scale factor from Figure A to Figure B?
Answer:
1/3Step-by-step explanation:
The figure B is the scaled copy of the figure A.
The both figures are similar to each other.
The scale factor is the ratio of corresponding sides of figure B to A:
k = 3/9 = 1/3or
k = 1.2/3.6 = 1/3On figure A sides are.
9,3.6On figure B sides are.
3,1.2Scale factor[tex]\sf\longmapsto k=\dfrac{3}{9}=\dfrac{1.2}{3.6}=\dfrac{1}{3}[/tex]
Please help I have to get this in in 20 mins
Answer:
(x, y) = (4, 1)
Step-by-step explanation:
I'm pretty sure this is right but please check with someone else is possible. Hope this helped!
Evaluate a2b2c2 for a = 2, b = 3, and c = 4.
Answer:
576
Step-by-step explanation:
Substitute the variables and solve.
[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 300, 30, 3,
Answer:
Arithmetic
Step-by-step explanation:
300: 30: 3
100: 10: 1
A long tunnel has the shape of a rectangular prism. It is about 100 cm high, 10 m wide and 1 km long. What is the volume of the tunnel expressed as an exponent?
A. 10^4 m3
B. 1000 cm3
C. 1 km3
D. 10^3 m3
I have to do this again because it didn’t show my picture
Answer to the second question.
9
Step-by-step explanation:
3⁴ simply means 3×3×3×3=81
3² 3×3=9
81/9=9
simplify. 8c³d²/4cd²
Answer:
2c exponent 4 d exponent 4
Please help me fast I need to finish!!!!!!
Answer:
ans: The line passes through the point (0,13)
Step-by-step explanation:
(0,13) is Y-intercept
Answer:
The answer is C the line passes through (0,13)
Step-by-step explanation:
Please explain! I need help!
Answer:
B is the correct answer.
Step-by-step explanation:
please help me
Hamish buvs a new car for $20000
The car depreciates in value by 19% each year.
Work out the value of the car at the end of 3 years.
Give your answer to the nearest $
Answer:
The correct answer is $10,629
Step-by-step explanation:
Here is how I got it!
First, you will have to borrow the 20,000 from the word problem.
Next, multiply 20,000 with 0.81 with the power of 3
[tex]20,000*0.81^3=n[/tex]
The 3 is the number of years, n is the nearest $ answer.
--
First, do [tex]0.81^3[/tex]
[tex]0.81*0.81*0.81=0.531441[/tex]
(Wow, that's a crazy number!)
--
With 0.531441, multiply it with 20,000
[tex]20,000*0.531441=10628.82[/tex]
10,628.82 is technically (in money) $10,628.82 (with .82 being eighty-two cents).
--
Finally, it states to answer to the nearest $.
Just round up the .82 to 1 dollar which will just add one more dollar to 10,628
[tex]10,628[/tex] ⇒ [tex]10,629[/tex]
Add you $ symbol
With the result being: $10,629
Answer:
$10629
Step-by-step explanation:
First you have to work otu the percentage decrease:
100 - 19 = 81
81/100 = 0.81 (/ means divide)
Then you have to work the amount after 3 years:
Long Method
20000 x 0.81 = 16200
16200 x 0.81 = 13122
13122 x 0.81 = 10628.82
or Short Method
20000 x 0.81³ = 10628.82
Finally you round it to the nearest $:
10628.82 ⇒ 10629
Algebra question need it done
Answer:
y=2x
Step-by-step explanation: