Answer:
d = √[(a-c)^2 + (b-d)^2]
The volume of a sphere can be found using the formula: v = 47. Find the volume of a sphere if
3
the radius is 12.5 cm. Round your answer to the nearest cm.
PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2
a. y=-3
b. x=7
c. y=7
d. x=-3
Answer:
x=7
Step-by-step explanation:
The directrix of the equation is x=7
What is directrix of parabola?The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix. The directrix and the focus are equidistant from the vertex of the parabola. Here we define the directrix for the standard equations of a parabola.
The directrix of the parabola y^2 = 4ax, having x-axis as its axis, passes through (-a, 0), and has the equation x + a = 0.The directrix of the parabola y^2 = -4ax, having x-axis, passes through (a, 0), and has the equation x - a = 0.The directrix of the parabola x^2 = 4ay, having y-axis as its axis, passes through (0, -a), and has the equation y + a = 0.The focus of the parabola x^2 = -4ay, having y-axis as its axis, passes through (0, a), and has the equation y - a = 0.Given:
-8(x-5)=(y+1)²
Now, using the definition of directrix
x= 8/4 +5
x= 2+ 5
x= 7
Learn more about directrix here:
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Keisha took out a loan for 10,500 and was charged simple interest at an annual rate of 8.8%. The total interest she paid on the loan was $462. How long was the loan for, in months?
Answer: 6 months
Step-by-ste
462=(10,500)(0.88)t
462=924t
462/924=t
0.5=t
So the loan was 0.5 year's
Since we assume that there are 12 months in a year, the loan was 0.5 .12=6 months
Find the value of y.
y
120
Answer:
60 degrees
Step-by-step explanation:
Trains Two trains. Train A and Train weigh a total of 387 tons. Train Ais heavier than Trains. The
difference of their weights is 189 tons. What is the weight of each train?
Train A weighs
tons
Answer: the other train shoud weigh 198 hope it helps
Step-by-step explanation:
Answer:
train A=198
train B=189
HELPP QUICK PLEASE THIS IS MY 10TH TIME POSTING THIS PLS NO LINKS NO BOTS OR JUST PUTTING ANSWERRS TO GET POINTS I REALLY NEED HELP SO PLEASEE Which of the following are point-slope equations of the line going through
(-3, 4) and (2, 1)? Check all that apply.
MORE THAN ONE ANSWER PLS
Answer:
F and B are the correct answers
A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. Show your work and/or explain how you got your answer.
1 point for each correct angle measure and 1 point for explaining or showing how you got your answer. Don’t forget to label your answers.
Answer:
C = 95°
D = 72°
F = 108°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)
Using these relations, we have .
C = 180° -E = 180° -85° = 95°
D = 144°/2 = 72°
F = 180° -D = 180° -72° = 108°
O 1. What should always be the first statement in a formal proof?
O Theorem
O Given
O Counterexample
O Conclusion
The first statement in a formal proof is given.
What should always be the first statement in a formal proof?Remember to always begin our proof with the given information, and complete our proof with what you set out to deliver. As long as you do that, utilize one reason at a time, and only utilize definitions, postulates, and different theorems for your reasons, your proofs will float like a mountain stream.
The most familiar form of explicit proof in high school geometry exists as a two-column proof that consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one exists given).
Therefore, the correct answer is option b) Given.
To learn more about formal proof
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help agine plz i will give branliets
Please help!!!
Which quadrant is -3,-3 located on a coordinate plane?
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
Answer:
Quadrant 3
Step-by-step explanation:
A storage shed with a flat roof is 12 feet long by 9 feet wide by 4 1/2 feet tall.
How many cubic feet of storage space does the shed enclose?
Answer:
To get the volume of the shed in yards, multiply 4*3*2.5=30
since one cubic yard is equal to 27 cubic feets, multiply 27 with 30 to get the volume in cubic feets 27*30=810
Step-by-step explanation:
A company makes wax candles shaped like rectangular prisms. each candle is 5 cm long, 2 cm wide and 12 cm tall. if the company used 5040 cm^3 of wax, how many candles did they make ?
Answer:
[tex]42[/tex]
Step-by-step explanation:
V=whl=2·12·5=120,
5040 divided by 120= 42
You save $1400 from a summer job. You decide to put it into an account that earns simple annual interest. After 9 months, your balance is $1421. Find the annual interest rate.
Answer:
2%
Step-by-step explanation:
Calculate annual interest amount first:
annual interest x 9/12=21
Annual interest =21x12/9
annual interest amount=$28
calculate annual interest rate
1400 x interest rate = annual interest
$1400 x interest rate = $28
interest rate =$28/1400
interest rate=.02 or 2%
which graph represents a function
Answer:
a
Step-by-step explanation:
Answer:
dfvgbhnm,kmjnhbgvx
Step-by-step explanation:
c vgbhjnmk,jnhbgvfc
A rectangular flower garden in Samantha’s backyard has 100 feet around its edge. The width of the garden is 20 feet. What is the length
Answer:
bces
Step-by-step explanation:
length:30ft
Step-by-step explanation:
if the perimeter is 100 than 20+20+x+x=100.
20+20=40
100-40=60
since there are two length sides, divide 60 by two and then you have your answer.
20+20+30+30=100
hope this helped
HELPP ME PLEASEEE!!!!!
don’t answer just for points. i’ll report you.
Answer:
-2
15 - (-2) = 17
a = -2
Answer:
A= -2
Step-by-step explanation:
15-a=17
+a +a
15=17+a
-17 -17
-2=a
Joe, Marty, and Sally all decide to buy a new car for $15,000. Each one decides to pay for their car in a different way. Compare each of their stories and decide who you think made the best decision when they bought their car.
Joe decided he wanted to pay cash for his car, so he saves $1,000 per month until he has enough money in the bank to buy the car. How long will it be before Joe can buy his car?
Answer: 15 months
Step-by-step explanation: bc if you multiply 15 times the amount he is saving a month which is $1,000. you multiply them two together and get 15,000. (sorry if i over explained it)
what is 3456 x 3 hundreds
Answer:
3456 × 300 is equal to 1036800.
Answer:
1036800 right or did i miss read the question?
Step-by-step explanation:
Thank y’all for help
Answer:
Ask a question so I can answer it -_-Step-by-step explanation:
Plz help, And no links please
List all the possible rational zeros of the function f(x)=x^2-5x+12
Please help I can’t fail
Answer:
B
Step-by-step explanation:
line b is the closest to all the points on the graph
A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down.
The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.
The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.
These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.
Which choice shows how to combine h and d to build f
Answer: f(t)=h(t)+d(t)
f(t)=-16t^2+15t+6
Step-by-step explanation:
I just got this question right
Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the school. How many of these are EXPECTED to enjoy watching baseball? *
Answer:
630 people
Step-by-step explanation:
Ratios:
[tex]\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630[/tex]
I NEED HELP ASAP
A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has two opportunities for a two-point conversion. He misses the first attempt 50% of the time. When he misses the first attempt, he misses the second attempt 15% of the time. What is the probability of missing both two-point conversion attempts?
Answer:
P = 0.075 P = 7.5%
Step-by-step explanation:
We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.
We know for a fact that the probability that the quarterback fails the first attempt is:
p(1) = 0.5
and we know that the probability that the quarterback fails the second attempt after failing the first is:
p(2/1) = 0.15
Then the probability of failure of both attempts is:
P(2/1) = p(1 and 2) / p(1)
p(1 and 2) = P(1) * P(1/2)
p(1 and 2) = 0.5 * 0.15
and that is
p(1 and 2) = 0.075
you probably didn't want the nerdy stuff but oh well
Answer:
Answer:
P = 0.075 P = 7.5%
Step-by-step explanation:
We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.
We know for a fact that the probability that the quarterback fails the first attempt is:
p(1) = 0.5
and we know that the probability that the quarterback fails the second attempt after failing the first is:
p(2/1) = 0.15
Then the probability of failure of both attempts is:
P(2/1) = p(1 and 2) / p(1)
p(1 and 2) = P(1) * P(1/2)
p(1 and 2) = 0.5 * 0.15
and that is
p(1 and 2) = 0.075
Rachel has a certain number of pencils in her locker. She has 12 sharpened pencils and 32 unsharpened pencils. What is the ratio of unsharpened pencils to sharpened pencils?
Answer:
sharpened to unsharpened = 3 : 8
for every 3 sharpened pencil, there are 8 unsharpened pencils
Step-by-step explanation:
12s : 32u
12/32
divide both by 4
3/8
ratio = 3:8
How many times in the 30 minutes graphed is the temperature exactly 40 degrees? (Brainlist!!)
Answer:
It occered 3 times.
Step-by-step explanation:
Mathhhhhhhhhhhhhhhhhhhhhh
Answer:
0, 1
1, 4
2, 7
3, 10
4, 13
5, 16
6, 19
7, 22
Step-by-step explanation:
hope this helps!
PLSSSS HELPP ME PLSSS
An object is launched directly upward at 64 feet per second from a platform 80 feet high. Write the function for the height of this object at any given time (t seconds).
Answer: 144 feet
Step-by-step explanation:
Can someone please help me with math.
Answer:
1 is b
2 is c
3 is b
Step-by-step explanation:
Initial co-ordinate of p = ( 2, -2)
Rule for rotation 180° about the origin
(x,y) ----> ( -x , -y )
Meaning of the rule: To find the coordinates of a point that was rotated 180° about the origin all we have to do is add negative signs in front of the x and y values of the coordinates. THE NUMBER STAYS THE SAME. THE ONLY THING THAT CHANGES IS THE SIGN
* add - to the coordinates *
- ( 2 , -2 )
-1 * 2 = -2
-1 * -2 = 2
we end up with ( -2, 2 )
Hence the answer is B
For this one a rectangle was dilated and we have to find the scale factor and the new width.
We are given the pre image width (3) and length (4) and the new image length (12)
We can find the scale factor by dividing the new image length by the pre image length ( Note that you have to use corresponding sides. Like pre image height over new image height or pre image length over new image length. etc. )
So scale factor = 12 / 4 or 3
Now to find the new image width
We can do this by multiplying the pre image width (3) by the scale factor (3)
So new image width = 3 * 3
3 * 3 = 9
Hence the width of the enlarged print is C 9 inches
For this one we need to find x using angle rules
The angles shown are supplementary angles meaning that the sum of the two angles is 180
That being said we can create an equation to solve for x
180 = 64 + 4x + 16
Now we just solve using basic algebra
step 1 combine like terms
64 + 16 = 80
now we have 180 = 4x + 80
step 2 subtract 80 from each side
80 - 80 cancels out
180 - 80 = 100
now we have 100 = 4x
step 3 divide each side by 4
100/4 = 25
4x/4=x
we're left with x = 25