2 Points
What is the name of the point that you use to define a parabola?
A. Vertex
B. Center
C. Focus
D. Directrix
sig
Answer:
C
Step-by-step explanation:
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.
Focus is the name of the point that you use to define a parabola
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped
A parabola is a symmetrical U-shaped curve that can be defined as the set of all points that are equidistant to a fixed point (called the focus) and a fixed line (called the directrix).
The vertex is the point where the parabola changes direction and is located halfway between the focus and the directrix.
The center is a term used to refer to the midpoint of the line segment connecting the two foci of an ellipse or hyperbola, and is not relevant to a parabola.
Hence, Focus is the name of the point that you use to define a parabola
To learn more on Parabola click:
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if y varies directly as x and y=32 when x=4 find the value of y when x=5
Answer:
y=40
Step-by-step explanation:
32 divided by 4 equals 8. And 5 times 8 equals 40.
The object below is made of solid plastic. It is a cylinder with an indentation at the top
in the shape of a cone.
What is the volume to the nearest tenth of a cubic inch, of the plastic object?
Answer: 97.6 in3
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:
Volume of a cylinder: π (diameter /2) ^2 (height)
Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3
Volume of a cone = 1/3 π (diameter /2) ^2 (height)
V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3
Finally:
Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3
Feel free to ask for more if needed or if you did not understand something.
one more last one help
Answer:
C 24
Step-by-step explanation:
Find the measure of QPR.. I need full explanation please
Answer:
b) 42°
Step-by-step explanation:
When two triangles share the same base (in this case, side QR), one angle is half of the other one. In this case:
1/2*∠QPR = ∠QSR
From the picture,
∠QSR = 21°
Replacing into the equation and solving for ∠QPR:
∠QPR = 2*21° = 42°
The coordinates of points A and B are (2, 4) and (-2,-4)
respectively. What is the slope of the line that connects the two
points?
A. 2
B. 1/2
C. 1
D. 1/4
Answer:
A
Step-by-step explanation:
slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{4 - ( - 4)}{2 - ( - 2)} \\ = \frac{4 + 4}{2 + 2} \\ = \frac{8}{4} \\ = 2[/tex]
The right answer is 2.
look at the attached picture
Hope it helps
Good luck on your assignment
HELP ME PLEASE ASAP
IT IS A CLOCK PROBLEM
What is the angle between the hands at 4:41?
Answer:127.5∘
Step-by-step explanation:
The angle measure between any two consecutive numbers on a clock is 36012=30∘.
Call the "12" point on the clock the zero-degree point.
At 4:45, the minute hand is at the "9" - that is, at the 30×9=270∘ mark. The hour hand is three-fourths of the way from the "4" to the "5; that is,
30×434=142.5∘ mark.
Therefore, the angle between the hands is
270−142.5=127.5∘, the desired measure.
Which best explains why the equation 7x + 3 = 7x+-3 has infinitely many
solutions?
A. The equation has a variable on goth sides.
B. The equation is true for any value of x.
O c. The equation is not true for any value ofr.
Scott opened a savings account with $5000 and was paid simple interest at an annual rate of 3%. When Scott closed the account, he was paid $450 in interest. How long was the account open for, in years?
Thanks.
Answer: The account has been open for 3 years.
Step-by-step explanation:
yes
Compare the repeating decimals shown with their equivalent fractions. Describe the pattern. 0.111...(repeating)= 1/9, −0.555...(repeating)= −5/9, −1.222...(repeating)= −1 2/9, 5.888...(repeating)= 5 8/9
PLEASE SONEONE HELP ME!!!!!!!!!
Answer:
The pattern in decimal expressions is that the decimal numbers are repeated immediately after the decimal point.
The pattern in the equivalent fraction is that 9 is on all fractions
Step-by-step explanation:
All the cases (0.111..., −0.555..., −1.222... and 5.888...) are solving by the following procedure (only one example is shown):
x = 0.111111...
10x = 1.11111...
10x - x = 1.11111... - 0.111111...
9x = 1
x = 1/9
which is equivalent to express the decimal part as the tenth divided by 9. Then:
−0.555...= −5/9,
−1.222...(repeating)= −1 2/9,
5.888...(repeating)= 5 8/9
What is Five thousand, three hundred one and ninety-six thousandths
Answer:
500030196000
Step-by-step explanation:
Five thousand = 5000
Three hundred one = 301
Ninety-six thousandths = 96000
In numbers:
500030196000
Hope this helps.
What is the answer (11/12 ) (-2.1/16) (2 1/16) (-11/12)
Answer:
-11/12
Step-by-step explanation:
I can not show the steps because there are a lot and when I used my calculator, I got -11/12. :)
Answer:
[tex](-\frac{11}{12})[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{8} +\frac{3}{4} }{-\frac{2}{3}-\frac{5}6} } =[/tex]
[tex]\frac{\frac{5}{8} +\frac{6}{8} }{-\frac{4}{6} -\frac{5}{6} }=[/tex][tex]\frac{\frac{11}{8}}{-\frac{9}{6} }=[/tex](11÷8)÷(-[tex]\frac{9}{6}[/tex])=
1.375÷(-1.5)=
-0.9166...≈ [tex](-\frac{11}{12} )[/tex]
Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.
HELP ASAP PLZZZ, dhrbfjjdhehf
Answer:
45
Step-by-step explanation:
<1 and <2 are supplementary so <1+<2= 180 degrees
135+<2=180
<2= 45
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 9 options: A) supplementary angles. B) triangle sum. C) congruence. D) complementary angles.
Answer:
A
Step-by-step explanation:
what are the solutions of the equation 9x^4-2x^2-7=0? Use u substitution to solve.
Answer:
The answer is A
The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answer:
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
Step-by-step explanation:
The equations
4 x - 5 y = 5 (red)
3 x + 10 y = 20 (blue)
4 x - 5 y = -5 (green)
3 x + 10 y = -20 (purple)
are shown in the picture attached. As we can see there, the point (–2.7, –1.2) is on the intersection of the purple and green lines. Therefore is the solution of the system:
4 x - 5 y = -5
3 x + 10 y = -20
Answer:
A
Step-by-step explanation:
What is the true solution to 2In e sqrt in 5x = 2 In 15?
Answer:
B.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
PLEASE ANSWER ASAP! PLEASE! NO EXPLANATION NEEDED IF YOU DON'T WANT! PLEASE ANSWER AS MANY AS YOU CAN! YOU DON'T NEED TO DO EVERYTHING!
Answer:
12: 144
Step-by-step explanation:
As it fits all requirments.
What are the opposites of 9, −3.6, 2.25, and 9 1 2 ? Enter the answers in respective order, each separated by comma.
Answer:
-9, 3.6, -2.25, and -9 1 2
Step-by-step explanation:
Which number line shows the solution set for |m|=4
Please answer correct my grade depends on it
Answer:
The last one
Step-by-step explanation:
6t^{2} – 13 when t = 2
Answer:
11
Step-by-step explanation:
6t^2 - 13
Let t=2
6 * 2^2 -13
powers first
6 *4 -13
Multiply
24 -13
subtract
11
Answer:
[tex] = 11[/tex]
Step-by-step explanation:
[tex]6 {t}^{2} - 13[/tex]
[tex]t = 2[/tex]
[tex]6 {t}^{2} - 13 \\ 6 \times 2 \times 2 - 13 \\ 24 - 13 \\ = 11[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone help me I was doing good and then I got stuck on this question what I can’t figure out is how you get the voltage when you only have the watt and resistance .
A 60.0 Watt lightbulb has an operating resistance of 220 Ω.
Calculate the operating voltage of this lightbulb.
Answer:
114.89 V
Step-by-step explanation:
Watts are a measure of power, and there is an equation that relates power, voltage, and resistance. It goes like this:
P=(V^2)/R
Now to find the voltage you want to solve for V
PR = V^2
V = [tex]\sqrt{PR}[/tex]
Now substitute your numbers into the equation and you get your answer
V = [tex]\sqrt{(60)(220)}[/tex]
V = [tex]\sqrt{13200}[/tex]
V = 114.89 V
John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.
Answer:
I think 10,500.
Step-by-step explanation:
700 multiplied by 2.5=1750
x 6
10,500
Simplify the expression by combining like terms.
15 + 12x – 5x + 4y - 7
(A) 11xy + 8
(B) 7x + 4y + 8
(C) 7x + 4y - 7
(D) 15 + 11xy - 7
What is the solution to the system of equations? {2x+5y=3y=x+2 (1, 3) (−1, 3) (17, 157) (−1, 1)
Answer:
Step-by-step explanation:
2x + 5y = 3
y = x + 2
2x + 5(x + 2) = 3
2x + 5x + 10 = 3
7x + 10 = 3
7x = -7
x = -1
y = -1 + 2
y = 1
(-1, 1)
How many tickets were sold between 12pm and 3pm?
Answer:
approximately 670 maybe
Answer:
about 250
Step-by-step explanation:
$4,600 invested in a CD paying the investor 5% annual return for one year?
what’s the answer
Answer:
230
Step-by-step explanation:
multiply 6,400 by 5% then multiply that by the 1 year and 230 will be the answer
Hope this helps :)
%) 1.3.27
Question Help
The length of a new rectangular playing field is 6 yards longer than double the width. If the perimeter of the rectangular playing field
is 312 yards, what are its dimensions?
The width is yards
Answer:
Width of field = 50 yards
Length of Yards = 106 yards
Step-by-step explanation:
Let the width of field be x yards
given that "The length of a new rectangular playing field is 6 yards longer than double the width"
Length of Yards= 2*width of field + 6 = 2x+6 yards
perimeter of the rectangular playing field = 312 yards
We know that perimeter of rectangle is given by 2(length + width ).
Since field is rectangular then
2(length + width ) = 312
2(x+2x+6) = 312
=> 3x+6 = 312/2 = 156
=> 3x = 156 - 6 = 150
=> x = 150/3 = 50
Thus,
Width of field is x = 50 yards
Length of Yards= 2x+6 yards = 2*50+6 yards = 106 yards
Use the distance formula to find the distance between (-3, 5) and (3,1).
d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Answer:
About 7.2
Step-by-step explanation:
Answer = [tex]\sqrt{52}[/tex]
look at image attached