Using the protractor, find the angle measure.
Which is the equation of the parabola that
opens to the right, has a focus at (3.0), and
has a directrix at x=-3?
Answer:
The equation of the parabola will be:
[tex]\:y^2=12x[/tex]Step-by-step explanation:
The vertex (h, k) is halfway between the directrix and focus.
Find the x coordinate of the vertex using the formula
x = (x-coordinate of focus + directrix)/2
= (3-3)/2
= 0/2
=0
The y -coordinate will be the same as the y-coordinate of the focus.
so the vertex will be: (0, 0)
Finding the distance from the focus to the vertex
The distance from the focus to the vertex and from the vertex to the directrix is |p|.
Subtract the x coordinate of the vertex from the x -coordinate of the focus to find p .
[tex]p=3-0[/tex]
[tex]p=3[/tex]
Substitute in the known values for the variables into the equation
[tex]\left(y-k\right)^2=4p\left(x-h\right)[/tex]
[tex]\left(y-0\right)^2=4\left(3\right)\left(x-0\right)[/tex]
[tex]\:y^2=12x[/tex]
Therefore, the equation of the parabola will be:
[tex]\:y^2=12x[/tex]What is the slope for line m
Answer:
1
Step-by-step explanation:
A rectangular cartoon is 80 cm x60 cm x40 cm .then, how many packets of shops can each of 10 cm x 5cm x 4 cm be kept inside the cartoon
Answer:
8
Step-by-step explanation:
10 x 5 x 4
Multiply everything by 8
80 x 40 x 32
You can't go over that because 80 is at it's limit.
8
Explicación paso a paso:
10 x 5 x 4
Multiplica todo por 8
80 x 40 x 32
No se puede pasar de eso porque 80 está en su límite.
espero te sirva
A store donated 2 1/4 cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
Answer:
432 crayons
Step-by-step explanation:
convert 2 1/4 to 9/4
1 case=24 boxes=8 crayon in each box
24*8=192 for 1 case
9/4*192=432
The center received 432 crayons
Nel salone di un rivenditore di automobili, il 20% delle macchine sono SUV, il 35% sono monovolume e 27 sono berline. Calcola il numero di SUV.
Answer: 12
Step-by-step explanation: 27 sedanes son 45% (de 100 - (35 + 25)) es necesario hacer 27/45 para averiguar la tasa unitaria, multiplicar la tasa unitaria por porcentaje para averiguar la respuesta
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.
Step-by-step explanation:
I NEED HELP ASAP, WILL MARK BRAINLIEST Find the value of y. Round to the nearest tenths place.
Answer:
Side a = 1
Side b = 0.5
Side c = 0.86603 = √3/2
Nearest tenths is 0.9
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates 2 sides based on 3 given angles and 1 side.
b = a·sin(B)/sin(A) = 0.5
c = a·sin(C)/sin(A) = 0.86603 = √3/2
Area =
ab·sin(C)
2
= 0.21651
Perimeter p = a + b + c = 2.36603
Semiperimeter s =
a + b +c
2
= 1.18301
Height ha =
2×Area
a
= 0.43301
Height hb =
2×Area
b
= 0.86603
Height hc =
2×Area
c
= 0.5
Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5
Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139
Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144
Inradius r =
Area
s
= 0.18301
Circumradius R =
a
2sin(A)
= 0.5
0.86 is more than 0.85 so the nearest tenths place has to be 0.9
I will also post questions and you please answer them
???????????????????????
Answer:
I can't see the yellow..... but it should be subtract 10 from both sides!
So the answer is cyan or light blue (2nd one)
Step-by-step explanation:
Hope this helps! Mark as Brainliest!
You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value
Answer:
The height of the balloon is 46 feet.
Step-by-step explanation:
Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;
Looking at the top of the balloon,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 53° = [tex]\frac{x}{60}[/tex]
x = 60 x Tan 53°
= 79.6227
x = 79.62 feet
Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 29° = [tex]\frac{y}{60}[/tex]
y = 60 x Tan 29°
= 33.2585
y = 33.26 feet
The height of the balloon = x - y
= 79.6227 - 33.2585
= 46.3642
The height of the balloon is 46 feet.
Classify this polynomial.
2n
A:Liner
B:quadratic
C:cubic
D:none of these
Answer:
Step-by-step explanation:
this polynomial is to thhe first degree 2[tex]n^{1}[/tex] so is a linear one
An ice chest contains 7 cans of apple juice, 6 cans of grape juice, 6 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of mango juice.
Answer:
4/1771Step-by-step explanation:
Step one:
given
sample space
7 cans of apple juice,
6 cans of grape juice,
6 cans of orange juice, and
4 cans of mango juice
Sample size= (7+6+6+4)
= 23
Step two:
Required
The probability of randomly selecting three cans of mango juice in succession
Note: we are selecting without replacement
let the probability of selecting three cans of mango juice be
the first selection is= 4/23
The second = 3/22
the third= 2/21
[tex]P(x)= 4/23*3/22*2/21[/tex]
[tex]P(x)= \frac{4*3*2}{23*22*21} \\\\P(x)= \frac{4}{23*11*7}\\\\P(x)= \frac{4}{1771}[/tex]
What is the answer to −9x−2 when x=−4.
Answer:
-72
Step-by-step explanation:
Answer:
I believe the answer is 34
Step-by-step explanation:
(-9 times -4 = 36)
36-2=34
The value of x In the proportion
1/2:2/3 = 3/4x Is
A.1
B. 1/4
C.17/9
D.4/9
Answer:
A
Step-by-step explanation:
[tex]\frac{1}{2} : \frac{2}{3} =\frac{3}{4} x\\\\\frac{1}{2} * \frac{3}{2} =\frac{3}{4} x\\\\\frac{3}{4}= \frac{3}{4} x\\\\\frac{3}{4}*\frac{4}{3}=x\\\\\frac{12}{12}=x\\\\x=1[/tex]
Question 5(Multiple Choice Worth 4 points) (04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the line?
y = 1 over 2x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2x + 10
Answer:
y- 2x + 4
Step-by-step explanation:
Answer:
y- 2x + 4
Step-by-step explanation:
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle? please hurry
Answer:
The answer is 48 divided by 2= 24.
Hope I helped.
what is the answer for 7(x+2) = 6(x+1)
Answer:
x= -8
Step-by-step explanation:
Simple math
Answer: x = -8
7(x + 2) = 6(x + 1)
⇔ 7x + 14 = 6x + 6
⇔ 7x - 6x = 6 - 14
⇔ x = -8
Step-by-step explanation:
which ordered pair is a solution to the equation y=3x-10 is it (11,7) (5,15) or (-2,-16)
Answer:
(-2,-16)
Step-by-step explanation:
Cause
y=3(-2)-10
y=-16
there for it the solution to the equation
5. Lee uses 6 boxes to pack 24 items. Yesterday, he packed 288 items. How many boxes did Lee use yesterday? (HINT-- Comparing two different units-- SET UP Proportion; Cross Multiply and then Divide) *
Answer:
72
Step-by-step explanation:
24/6=4
288/4=72
The perimeter is 36.what dose x have to be
What is the answer to this problem?
Answer:
x = 4.
Step-by-step explanation:
These are exterior alternate angles which are congruent.
So 21x + 6 = 90
21x = 84
x = 4.
What are all the zeroes of the function (4x^2+9)(4x^2-9)=0
Answer:
x=1.5,-1.5
Step-by-step explanation:
16x^4=81
x^4=5.0625
x=[tex]\sqrt[4\\]{5.0625}[/tex] => x = 1.5,-1.5
Answer:
3/2 and 3/2i
Step-by-step explanation:
Got it correct on edge
A manufacturer is considering building a new and better mousetrap. She estimates the probability that the new mousetrap will be successful is . If it is successful, it would be able to make $120,000. Of course, she would make nothing if it were unsuccessful. The development costs for the mousetrap are $98,000. What is the expected value?
Answer:
$22,000 if successful
Step-by-step explanation:
So if She is able to make $120,000 on the trap, but it cost$98,000, just subtract $98,000 from $120,000 and you get $22,000 if she is successful she can expect that much
Answer:
22,000
Step-by-step explanation:
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the other corner across the middle of the field.
Answer:
And the question is???
Answer:
Step-by-step explanation:
use the pythagorean therom:
a^2 + b^2 = c^2
substitute in your values
90^2 +120^2=c^2
multiply
8100+14400=c^2
add
22500=c^2
take the square root of both sides
c= 150 meters :)
Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2
Answer:
The answer is y=1/2x-7
Step-by-step explanation:
y-y=m(x-x¹)
y-(-9)=1/2(x-(-4)
y+9=1/2x+2
-9 -9
y=1/2x-7
Find the perimeter of LMNO. (Hint: Solve for x and y first.)
6x-7=2x+9
4x=16
x=4
12=y^2+3
9=y^2
3=y -3=y
Okay?
Step-by-step explanation:
6x -7 = 2x +9
4 x = 16
X= 4
y2 +3 =12
y2 = 9
y2 =3
two side is 17 ,12
Perimeter =( 17+12 )x 2 = 58
When parallel lines are cut by a transversal and you have one acute angle and one obtuse angle, those two angles will always add up to
Answer:
180 maybe ...........
simplify -13.5a+34.12b+65.5-32.5b-35.8a
Answer:-49.3a-1.62b+65.5
Step-by-step explanation:
Combine Like terms:
-13.5a-35.8a=-49.3a
-34.12b+32.5b=-1.62b
Answer: -49.3a-1.62b+65.5
Answer:
16.2a + 1.62b
Step-by-step explanation:
What is your favorite place to get wings and what type of wings do you like?
Question 3
~ True or false?
Answer:
It is true
Step-by-step explanation:
20/-7 is ~2.56
-2.8 (8 repeating) is -2.8......
So it is true
Hope this helps!
Answer:
True
Step-by-step explanation: