Which is the equation of a parabola with vertex (0, 0), that opens to the left and
has a focal width of 12?
a. y2 = 12x
b. y2 = -12x
c.x = 12y
d. x = -12y
Answer:
Step-by-step explanation:
I'm going to guess that the square exponents are on the top y's only? then answer b) looks good
Answer:
b. y^2 = -12x
Step-by-step explanation:
The general form for the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.
ASAP!!!!!!
WITH EXPLANATION
simple interest on a certain amount of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5% per annum by ₹285,find the sum
are u from india ??????????
Which two triangles below are similar?
Answer:
Triangle A and B
Step-by-step explanation:
Both triangles have two same angles.
If Triangle A is rotated like Triangle B, they would be the same.
Vice versa, if Triangle B is rotated like Triangle A, it would be the same.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve the equation for x. √x-6+3=10
a wise man once said "500 reduced by 4 times my age is 200." what is his age?
Answer: Well, when the wise man said "500 reduced by 4 times my age is 200." A wise women came up to him and responded " Your age is 75"
Step-by-step explanation:
If 500 reduced by 4 times your age is 200, then the equation
500 − 4x = 200
Take away 200 from both sides of the equation.
Add 4x to both sides of the equation.
Divide both sides of the equation by 4, you get 75 = x.
So, if 500 reduced by 4 times your age is 200, then you are 75.
Answer:
Step-by-step explanation:
let the age of old man be x
given word problem in equation form=
500-4x=200
500-200=4x
300/4=x
75=x
A 20 cup fruit salad that is 15% strawberries is in a large container
Answer:5
Step-by-step explanation:
Answer:
15/100 x 20 = 3
Step-by-step explanation:
15 percent of 20 is 3.
Consider 15 out of 100 since a percent is always considered out of hundred.
15
___ x 20 =
100
First thing is first, we ALWAYS have to find what the percent is of and its of 20 fruits.
So 15/100 x 20 would be your equation
we can simplify
15
___ x 20 ------> 1 = 15
100 -----> 5 ___ x 1 = 3
5
To simplify we can divide by 20 on the denominator and the factor.
Betty guesses there are 57 marbles in a jar, but there are actually 60. What is the percent error in Betty's guess?
Answer:
The percentage error in her guess is 5%.
Step-by-step explanation:
60 - 57 = 3
3/60 = 0.05
x2 – 7x + 6 = -8
solve using factoring
Answer:
Step-by-step explanation:
Rewrite this in standard quadratic equation form: x^2 - 7x + 6 + 8 = 0, or x^2 - 7x + 14 = 0. This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:
The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.
Because the discriminant is negative, we know that there are two unequal, complex roots. They are:
-(-7) ± i√7 7 ± i√7
x = ----------------- = ---------------
2 2
One factor is (x - [1/2]{7 ± √7} )
solve the equation 5(x-1)=17
Answer:
5(x-1) = 17
5x - 5 = 17 (write equation in simpler terms)
add 5 on each side like this (5x = 17 + 5)
= 5x = 22 which results in 4.4
I NEED THIS ASAP!!! What is GC?
9514 1404 393
Answer:
D. 14
Step-by-step explanation:
Point G divides each median into parts that have the ratio ...
short : long = 1 : 2
Then ...
GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7
GC = 14
Carmina bought 20 pizzas for her party an hour after the party started 2/7 of the pizzas had been eaten how many pizzas have been eaten make an equation to solve a word problem.
Answer:
pizzas eaten =2/7 x 20
5 5/7 pizzas have been eaten
Step-by-step explanation:
pizzas eaten = 2/7 x 20
40 / 7 = 5 5/7
Can someone please solve these?
Answer:
Step-by-step explanation:
h = -6[tex]t^{2}[/tex] +20t + 4
I will use calculus, maybe that's not how you're supposed to do this
-12t +20 =0
12t = 20
t = 20 /12
t = 1 [tex]\frac{8}{12}[/tex]
t = 1 [tex]\frac{2}{3}[/tex]
there will be a max at 1.6666666666 seconds
-6*[tex]1.6666666666666^{2}[/tex] + 20 * 1.6666666666 +4
= 16.666666666666 + 33.333333333333 + 4
= - 16[tex]\frac{2}{3}[/tex] + 33 [tex]\frac{1}{3}[/tex] + 4
= 20[tex]\frac{2}{3}[/tex] feet max height ( not too high, for a rocket)
time of flight:
0 = -6[tex]t^{2}[/tex] +20t + 4
use quadratic formula to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*4 ] / 2*(-6)
-20 +- sqrt [400 + 96 ] / -12
-20 +- sqrt [496 ] / -12
-20 +- 22.27105 / -12
try the negative option 1st
-42.27105 / -12
3.522 seconds. time of flight
when will the rocket be at 12' ? :
12 = -6[tex]t^{2}[/tex] +20t + 4
0 = -6[tex]t^{2}[/tex] +20t -8
use quadratic formula again to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*(-8) ] / 2*(-6)
-20 +- sqrt [ 400 - 192 ] / -12
-20 +- sqrt [208 ] / -12
-20 - 14.4222 / -12
-34.4222 / -12
2.8685 seconds ( on the way down)
and
-20 + 14.4222 / -12
-5.578 / - 12
0.4648 seconds ( on the way up )
Two angles meet at a point on a straight line. One of the angles is 43o
. Work out the size of the other angle.
Answer:
d
Step-by-step explanation:
At the Valero gas station, gas costs $2.55 per
gallon. The RV holds 55 gallons of gas. If the
RV currently has 20 gallons of gas, how much
will it cost to completely fill the RV with gas?
Answer:
140.25$
Step-by-step explanation:hope this helps <3
Answer:
Step-by-step explanation: valero gas station gas cost 2 dollars. 55 per gallon
55 + 20
The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?
Answer:
The original fraction is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2
[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]
Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is [tex]\frac{2}{5}[/tex]
how many times can 495 go into 156
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side
Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses.
12, 5, 14, 6, 17, 7, 15
Send data to calculator
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Answer:
10.9
Step-by-step explanation:
The "mean" is just school's fancy way of saying "the average". To find the mean of the numbers, you add them all up first. 12 + 5 + 14 + 6 + 17 + 7 + 15 = 76. The next step is to divide 76 by the number of values that were added. 12, 5, 14, 6, 17, 7, and 15 are a total of 7 numbers. So, we will divide 76 by 7.
76/7 = 10.8571428571, which rounds to 10.9 if you are rounding it to the nearest tenth.
Answer:
[tex]\boxed {\boxed {\sf 10.9 \ hours }}[/tex]
Step-by-step explanation:
The mean is also called the average. It is a measure of central tendency and provides information about the center of a data set.
The mean is found by adding up all the values, then dividing by the number of values. Remember, this is the data set we have:
12, 5, 14, 6, 17, 7, 15
1. Add up values
12 + 5+ 14 + 6 + 17 + 7 + 15= 76
2. Divide by the number of values
There are 7 values ( 1 for each student)76/7=10.8571428571
3. Round
We need to round our answer to the nearest tenth. The 5 in the hundredth place tells us to round the 8 up to a 9.10.8571428571 ≈ 10.9
The mean number of hours spent watching television for this group of students is 10.9 hours.
Write the equation of the line in slope-intercept form.
Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”
Bro this is so simple but I don't know. At the party, jorden shared out all the loonies in his present. Altogether there was 47 Lolies and 6 boys. How many lollies were leftover.
Answer:
5 lollies are left over
Step-by-step explanation:
Total lollies Jordan has = 47
Number of boys at the party = 6
If the lollies are shared equally,
Number of lollies each boy gets = Total lollies ÷ number of boys
= 47 ÷ 6
= 7 lollies remainder 5
That is,
6 boys × 7 lollies each = 42 lollies
How many lollies were leftover.
Remaining lolly = Total lollies - shared lollies
= 47 - 42
= 5 lollies are left over
simplify 2(2x-y)-4(x-y)+3y
please give the answer if you know how to solve it
Answer:
2( 2x - y ) -4( x - y ) +3y
4x - 2y - 4x + 4y + 3y
-2y + 4y + 3y
-2y +7y
5y
What is the solution to
(y = 3x - 30
x2 + y2 = 100
Answer:
x = 20
y = 30
Step-by-step explanation:
Answer:
x = 20
y = 30
Step-by-step explanation:
y = 3x - 30
2x + 2y = 100
2x + 2(3x - 30) = 100
2x + 6x - 60 = 100
8x - 60 = 100
8x = 160
x = 20
y = 3(20) - 30
y = 60 - 30
y = 30
Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
11 times z=121
(11xz=121
Answer:
z will be11
11z = 121
z = 121/11
z= 11
Answer:
1=121= 11
Step-by-step explanation:
Evaluate
(8.9 € touš ++2557
Answer:
Hi
Step-by-step explanation:
How is your day??
Answer:
Hello
How are you doing??
find the value of x. round to the nearest tenth. side length 16. angle 35. view picture below.
Answer:
[tex]\displaystyle x \approx 9.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite leg = x
Hypotenuse = 16
Step 2: Solve for x
Substitute in variables [Sine]: [tex]\displaystyle sin35^\circ = \frac{x}{16}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 16sin35^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 16sin35^\circ[/tex]Evaluate trig: [tex]\displaystyle x = 16(0.573576)[/tex]Multiply: [tex]\displaystyle x = 9.17722[/tex]Round: [tex]\displaystyle x \approx 9.2[/tex]50.3 - 5.6 ÷ 0.7 × 1.6 of 3.5
Answer:
5.5 is the correct answer:)
Step-by-step explanation:
Hope this helped!!!
How do I solve this please help no links
9514 1404 393
Answer:
$735
Step-by-step explanation:
We assume the cover needs to cover the pool only, not any extra area around the pool.
The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*
The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.
A = LW
A = (70 ft)(35 ft) = 2450 ft²
Then the cost is ...
C = ($0.30/ft²)(2450 ft²) = $735
The cost to buy a pool cover is $735.
__
* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Step-by-step explanation:
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Answer:
One sandwich costs $30
One juice costs $10
Identify the slope of x = 9, then complete a
table of values for the equation.
Answer:
It's undefined since it's a vertical line.
Step-by-step explanation: