Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
Solve for x
HELPP PLEASEE
20 points!
Answer:
[tex]\sqrt{119}[/tex]
Step-by-step explanation:
Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.
a^2+5^2=10^2
a^2+25=100
a^2=75
square root of 75
a=5[tex]\sqrt{3}[/tex]
5[tex]\sqrt{3}[/tex]^2+x^2=12^2
[tex]\sqrt{119}[/tex]
Answer:
8 1/3, or 8.307
Step-by-step explanation:
First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!
[tex]10^{2} - 5^{2} = 75[/tex]
Now, you have two options:
A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.
B) If you need to have something written down for your though process, go ahead and square root 75.
I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!
For the second half of the problem, to find x, we must again use the Pythagorean Theorem!
[tex]12^{2} = x^{2} + 75[/tex]
144 - 75 = 69
[tex]\sqrt{69} = 8.30662386292[/tex]
And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!
Hope this helps! Math is fun!
help please! 100 points! question is in photo
Answer:
D
Step-by-step explanation:
Answer:
C) [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
This question requires trigonometry. Trigonometry is used to work out lengths or angles when you are already given some. In this question we are given which formula to use but I will tell how to figure it out if the question doesn't give it to you. The formula's are
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
First of all we have to label the sides,
→ The hypotenuse is the angle opposite the right angle so it is 13
→ The opposite is the side opposite the angle so it is 5
→ The adjacent is the remaining side so it is 12
In the question it has given us the formula to use so we use it,
→ Sin⁻¹ = Opposite ÷ Hypotenuse
⇒ Substitute in the values
→ Sin⁻¹ = 5 ÷ 13
The value of sinM is [tex]\frac{5}{13}[/tex]
I need help marking brainliest
1)
Increases as the habitat is increasingly polluted
2)
Decreases as the habitat is increasingly polluted
3)
Remains the same as prey population remains the same
4)
Remains the same as predator population remains the same
Answer:
2) Decreases as the habitat is increasingly polluted
Step-by-step explanation:
number 1 make no sense. 3; at the start, say the population is x. but taking into account the pesticide, it cant no longer ramain the same (pesticide kills some of the x) . 4; similar to the case for answer 3
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
Is this statement true or false?
An automobile with an automatic transmission does not have a clutch pedal to change gears while driving.
true
false
KN and JM are diameters of circle I. Find m LIM.
Answer:
46 degrees
Step-by-step explanation:
a jar contains 6 red marbles, 9 yellow marbles, and 5 green marbles. What fraction of the marbles in the jar are red?
Answer: 6/20 are red
Step-by-step explanation: add all the marbles together and put the number of reds over the total number of marbles
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples.
The number of apples can be represented by the equation 2 – 6 = 36. Plot a point on the
number line to represent x, the number of apples Mariana picked.
39
40
43
41
42.
44
36
37
38
32
31
33
35
30
34
A straight line is drawn through the intersection of the two diagonals of a parallelogram. Prove that it exactly divides the parallelogram into two equal parts by area.
Answer:
Area of rectangle APQB = Area of rectangle DPQC
Where:
PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD
Step-by-step explanation:
Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram
Given the parallelogram ABCD with a point of intersection of the two diagonals = O
We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;
The diagonals of a parallelogram bisect each other hence
OA = OC and OB = OD
Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOB ≅ ΔCOD (SAS congruence rule)
Area of ΔAOB = Area of ΔCOD
In ΔAOP and ΔCOQ, we have;
∠PAO = ∠QCO (alternate interior angles of a parallel line)
OA = OC (as above)
∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOP ≅ ΔQOC
Area of ΔAOP = Area of ΔQOC
From which we have by similarity;
ΔBOQ ≅ ΔPOD
Area of ΔBOQ = Area of ΔPOD
Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ
∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.
A polygon has verticies of (-2,0), (0,2), (4,3), (5,-2), and (1,-3). What type of shape is it?
A. Hexagon
B. Parallelogram
C. Trapazoid
D. Pentagon
Answer:
I think it c ssry if it is wrong
Answer:
D. pentagon
Step-by-step explanation:
Any shape that has 5 verticies is a pentagon.
What is the perimeter of the triangle?
units=
Answer:
36
Step-by-step explanation:
Use pythagorean theorem
side 1 = 9
side 2 = 12
9^2 + 12^2 = third side ^2
third side = 15
9+12+15 = 36
Hope this helpful!!!!! :)
find the length of the unknown side round your answer to the nearest 10th
Answer:
4.4 ft
Step-by-step explanation:
The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is
[tex]a^2+b^2=c^2[/tex]
Let's sustitute these for the values we have in our problem (measured in feet)
[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]
19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.
Which of the following represents the range if the function g(x) below? G(x) = 5(x - 2) ^ 2 - 7
Answer:
[-7,∞)
Step-by-step explanation:
This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.
18 19 20 please thank you
Answer:
18a) The height of tree is 6.34ft.
Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.
b) 11.54 degree
Step-by-step explanation:
18a) sin(25) = 0.4226182617 is what you multiply to check the height.
15 x 0.4226182617 = 6.339273926 = 6.34ft.
Using the measurements of pythagoras you can scale each measurement above. 6.34 = (x0.5) = 3.17cm to draw the trees height.
15ft wire = scale the diagram draw 1cm = 2ft So that 7.5cm = = 15ft
Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.
This will make a 7.5cm slope and label it 15ft.
We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.
We find the base measurement by finding the square of each 15 and 6.34
c^2 - a^2 = b^2
a= 6.34 x 6.34 = 40.1863939089 = √40.19
c = 15 x 15 = √225
c-b = √225 - √40.19 = √184.81
side = b
b^2 = √184.81= 13.5944841756 = 13.59ft
18 b) To find an angle x with given measurements 4ft base and 20ft slope we
use sin( base/slope) = (run/rise)
So that 4/20 = 0.2
Then plug in for sin -1 0.2 = 11.54 degree = (calc ..11.53695903)
Notes;
If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).
The table shows data for bus arrivals at one stop. By how much time can u expect a bus to be late?
Offering 40pts
Answer:7 mins late
Step-by-step explanation:
the reason its 7 mins late is because that every day the bus is 1 more mit late
Katie has a cube with an edge length of
3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?
Answer:
216 inches^3
Step-by-step explanation:
Volume= Length x Width x Height
Volume of Katie's cube is 3x3x3 (27 inches^3)
Malea's cube is 8x the volume of Katie's cube, so Malea's cube is 8 x 27, which is 216 inches^3
plz help
An album sells for $14.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
Answer:
$12.10
Step-by-step explanation:
(.20) 14 = 11.20
.08(11.20)= ABOUT .90
ADD .90 to 11.20
to get the final cost with tax. ;)
6% of x = 1.2; what is x
Answer:
x =20
Step-by-step explanation:
6% of x = 1.2
Change percent to decimal form
.06x = 1.2
Divide each side by .06
.06x / .06 = 1.2/.06
x =20
!! PLEASE HELP ME!!
To the nearest tenth, what percent of everyone surveyed preferred watching sports channels?
Answer:62
Step-by-step explanation: i had same question and its eight
Answer:
hes smoking som but 62 isnt it lol
Step-by-step explanation:
What is the volume of this rectangular prism?
4 cm
[tex] \frac{5}{2} cm[/tex]
[tex] \frac{1}{2} cm[/tex]
need answer asap
Answer:
D on Edg
Step-by-step explanation:
Answer: V = 5cm³
Step-by-step explanation: We have to follow the formula to get the volume of this rectangular prism, Volume = Length * Height * Width.
First, let's turn the fractions into deciamls:
4 cm
2.5 cm
0.5 cm
The length is 4 cm, the width is 0.5 cm, and the height is 2.5 cm.
4 x 2.5 x 0.5 = 5
5cm³
I hope this helps!
Help !!!!!!!!!!!!!!!!!!! Please !!!!!
Answer: (A). 6x^8y^5
B). 4x^5y^8
C). 12a^9b^7
D). 6s^9t^3
Step-by-step explanation:
the inverse of this equation
Answer:
[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
Step-by-step explanation:
[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
How much greater is 42 inches than
1 yard? Explain.
Answer:
6 inches
Step-by-step explanation:
1 yard =36 inches
36 inches< 42 inches
42-36 inches = 6 inches
Answer:
.1666676
Step-by-step explanation:
1 in = 0.0277778 yard
42 × 0.0277778 = 1.1666676
1.1666676 - 1 = .1666676
so 42 inches is .1666676 greater than 1 yard
The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid
Answer:
A≈3170.96m²
Step-by-step explanation:
14
Select the decimal that is equivalent to
40
Answer
40% = 0,4
ExplantionDivide 40 by 100
remove the 0s from both side
it will be
4 ÷ 10=
you go one step to the right and add a zero before the dot
which equal to
0.4
Maria wraps the gift she is taking to a friend’s birthday party. She doesn’t have much paper, so she does not overlap any of the edges. The dimensions of the box are: width is 30 cm, length is 15 cm, and height is 20 cm. How much paper did it take to cover the gift?
Answer:
Total paper required to wrap the gift without any overlaps: [tex]2700\ cm^{2}[/tex]
Step-by-step explanation:
Here, we need to find the total paper required without any sides overlapping to wrap the gift.
The gift is of cuboid type.
Given the following:
Length = 15 cm
Width = 30 cm
Height = 20 cm
Please refer to the attached figure.
We can infer that to find the paper required, we actually need to the find the total surface area of the cuboid.
Because the gift wrap will be done on the faces of gift (which is of cuboid shape).
Formula for Surface Area of Cuboid:
[tex]\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times 20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}[/tex]
Hence, total paper required to wrap the gift without any overlaps: [tex]2700 cm^{2}[/tex]
which table represents a function
Answer:
Table 3
Step-by-step explanation:
It is the only table that has only one output f(x) from each input (x).
There are 21 cards numbered 1 to 21.if you pick a card what is the probability that choose an odd number or a two?
1/2
4/7
11/21
44/147
Answer:
4/7
Step-by-step explanation:
There are 11 odd numbers less than or equal to 21.
There is 1 two.
11 + 1 = 12 ways
12 outcomes/ 21 total outcomes =
4/7
If a radius is 20, what is the diameter? (Remember d=2r)
Answer:
40
Step-by-step explanation:
20(2)=40
Answer:
40
Step-by-step explanation:
d=2r
=2(20)
=40
