Write the equation for a parabola with a focus at (-7,-5) and a directrix at x = -4
Answer:
y² + 10y + 6x + 58 = 0
Step-by-step explanation:
Focus of the parabola has been given as (-7, -5) and directrix as x = -4
Let a point on the parabola is (x, y).
By the definition of a parabola, "distance of a point on parabola is equidistant from focus and directrix".
Distance from focus of the given point = [tex]\sqrt{(x+7)^2+(y+5)^2}[/tex]
Distance of the point from directrix = [tex]\sqrt{(x+4)^2}[/tex]
Therefore, equation of the parabola will be,
[tex]\sqrt{(x+7)^2+(y+5)^2}=\sqrt{(x+4)^2}[/tex]
[tex](x+7)^2+(y+5)^2=(x+4)^2[/tex]
x² + 14x + 49 + y² + 10y + 25 = x² + 8x + 16
y² + 14x + 10y + 74 = 8x + 16
y² + 10y + 6x + 58 = 0
Answer:
(y+5)^2/6 - 11/2
Step-by-step explanation:
1. Solve the system of equations: 4x-y=14 and x=y+2
O (4,2)
O (2,4)
O (6,2)
0 (2,6)
Answer:
The second one
Step-by-step explanation:
4x-y=14
4(y+2) -y=14
4y+8-y=14
3y=14-8
3y=6
y=2
x=2+2
x=4
Answer:
y=2 x=4
a. (4,2)
simple. easy. awesome. xfinity
solve the liner equation: -8(4x+6)= -24
Answer:
-3/4
Step-by-step explanation:
Answer:
x= -3/4
Step by Step explanation:
Step 1: Simplify both sides of the equation.
−8(4x+6)=−24
(−8)(4x)+(−8)(6)=−24 (Distribute)
−32x+−48=−24
−32x−48=−24
Step 2: Add 48 to both sides.
−32x−48+48=−24+48
−32x=24
Step 3: Divide both sides by -32.
-32x/-32 =24/-32
Answer:
x= -3/4
PLEASE HELP ME ANSWER THESE
1. What is the slope of the function?
2. What is the y-intercept of the function?
3. What is the slope-intercept form of the function?
Answer:
slope=1/2
y-intercept=2
slope-intercept form: y=1/2x+2
Step-by-step explanation:
please help, i will mark you branniest :))
solve for k
3/k = 4/5
Answer:
3/k = 4/5
k = 3 divided by 4/5
k = 3.75
Step-by-step explanation:
If
s= t+7s/5 and s= -2 what is the value of t?
A) -24
B) -4
C) 4
D) 24
Answer:
C
Step-by-step explanation:
Given
s = [tex]\frac{t+7s}{5}[/tex] ← substitute s = - 2 into the equation
- 2 = [tex]\frac{t+7(-2)}{5}[/tex] ( multiply both sides by 5 to clear the fraction
- 10 = t - 14 ( add 14 to both sides )
4 = t → C
what is 32.23 + 4x?
ASAP
Answer:
cannot be simplified.
Under his cell phone plan, Samuel pays a flat cost of $41.50 per month and $5 per gigabyte. He wants to keep his bill at $52.50 per month. Write and solve an equation which can be used to determine
x
x, the number of gigabytes of data Samuel can use while staying within his budget
Answer:
2.2 gigabytes
Step-by-step explanation:
Let us represent
x = the number of gigabytes of data Samuel can use while staying within his budget
Therefore, our equation is:
$41.50 + $5 × x = $52.50
41.50 + 5x = 52.50
Subtract 41.50 from both sides
41.50 - 41.50 + 5x = 52.50 - 41.50
5x = 11
x = 11/5
x = 2.2 gigabytes.
The number of gigabytes of data he need to keep his monthly cost at $52.50 is 2.2 gigabytes
Change the following sentences as in dire
a. Let him write an email (into passive)
MA
Answer:
let the email be written by him.
Which ratios are equivalent ratios for 10/20
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
The percentage change = 6.05%
Step-by-step explanation:
New value = £209.99
Old value = £198
Percentage change = [New Value - Old Value] / [Old Value] × 100
= [209.99 - 198] / [198] × 100
= [11.99] / [ 198] × 100
= 0.06 × 100
= 6.05%
Therefore, the percentage change = 6.05%
grade 8th
need help as soon as possible
please
Answer:
m= 2/8
equation= y=1/2x+2
Step-by-step explanation:
give brainliest pls pls pls
Answer:
m=1/4
y=1/4x+2
Step-by-step explanation:
slope is rise over run. it rises 1 and runs 4
the equation for a liner function is y=mx+b. Since 1/4 is the slope, replace m with 1/4. b is the y intercept, and from the graph, you know the y intercept is 2.
12. A plot of land measures 200m by 50m. Find its area in hectares. *
2 points
O A. 10ha
B. 100ha
C. 1ha
D. 10,000ha
Which of the following is equivalent to (2a + 5b) (a - 3b)?
A) 2a² - 2ab - 15b²
B) 2a² - ab 15b²
C) 2a² + 2ab - 15b²
D) 2a² + 11ab - 15b²
Answer:
Step-by-step explanation:
use foil and you will have
=2a^2-6ab+5ab-15b^2
=2a^2-ab-15b^2
i think is B, maybe you forgot a minus between ab and 15b^2
plz help, The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
The real solutions of f(x)=0 are: 0, 2, 5, 6
Step-by-step explanation:
We are given:
The graph of y = f(x)
We need to find all of the real solutions of f(x) = 0?
By looking at the graph we need to find the values of y when x =0
Looking at the graph, when x=0 we get
0, 2,5 and 6
So, the real solutions of f(x)=0 are: 0, 2, 5, 6
I am attaching the figure, that determines the answers.
. In April, it rained 1/4 of an inch on 15 different days. How many inches of rain fell
in April
Answer:
3.75, or [tex]\frac{15}{4}[/tex] inches of rain during the 15 days of April.
Step-by-step explanation:
All you have to do is add [tex]\frac{1}{4}[/tex] 15 times to get that number.
[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] +[tex]\frac{1}{4}[/tex] = 3.75
You can also do 15 times [tex]\frac{1}{4}[/tex], which will result in the same thing.
#teamtrees #WAP (Water And Plant)
Can you please help
What's your biggest wish this Christmas?! :D <3
Answer:
To Get a new phone
Step-by-step explanation:
Sarah made a certain number of bracelets for a craft show. Maria made 7 more than Sarah. Julie made 3 times as many as Maria.
Which expression represents the total number of bracelets Julie made if Sarah made s bracelets?
3s + 7
s + 21
21s
3(s + 7)
Answer:
D
Step-by-step explanation:
What is the acceleration of a 40 KG object that receives 30 N of force
Answer:
acc = force /mass
30/40 = 0.75 m/s2
the area of a triangle is 84 CM2. find the altitude corresponding to the side measuring 14 cm?
Answer:
12 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the altitude )
Here A = 84 and b = 14 , then
[tex]\frac{1}{2}[/tex] × 14 × h = 84
7h = 84 ( divide both sides by 7 )
h = 12
The altitude is 12 cm
Next door to me lives a man with his son. They both work in the same factory. I watch them going to work through my window. The father leaves for work ten minutes earlier than his son.one day I asked him about it and he told me that it takes 30 minutes for him to walk to his factory, whereas his son is able to cover the distance in only 20 minutes. If the father were to leave the house 5 minutes earlier then his son, then the son would catch up with his father in 2k minutes. where k is-----
9514 1404 393
Answer:
k = 5
Step-by-step explanation:
Suppose the distance to the factory is 1 unit. Then the speed the father walks is ...
speed = distance/time = 1 / 30 . . . . units per minute
When the father leaves 10 minutes earlier than the son, his position t minutes after the son starts walking is ...
d = 1/30(t +10)
Similarly, when the father starts 5 minutes earlier than the son, his position t minutes after the son starts walking is ...
d = (1/30)(t +5)
We want that to be the same as the distance the son covers t minutes after he starts walking. The son's progress is ...
d = 1/20t
To find the value of k such that the distance covered is the same 2k minutes after the son starts, we will use t=2k and d=d, so ...
(1/30)(2k +5) = (1/20)(2k)
4k +10 = 6k . . . . . multiply by 60
10 = 2k . . . . . . . . . subtract 4k
5 = k . . . . . . . . . . . divide by 2
__
The attached graph shows the different scenarios, where the blue line is the son's progress. When the father starts 5 minutes earlier, the son meets him half-way to the factory after 10 minutes, so k = 10/2 = 5.
Answer please step by step would be helpful
Answer:
The taxi ride was 14 miles long.
Step-by-step explanation:
So we know that he payed 29 $. Out of this 29$ 1$ was the pick up fee. So we know that 28$ were spend on distance that the taxi had to ride. We also know that Wyatt has to pay 2$ for each mile so in order to get the total number of miles the car drove we will have to divide the amount of money that was paid for the actually distance traveled by two. And so we get that our answer is........
28$ / 2$ = 14
Given that $-3 \leq x \leq 2$ and $20x^{2} = y-24$, what is the least possible value for $y$?
Answer:
24
Step-by-step explanation:
The least possible value is when 20x^2 = 0. All other values give a larger value than 0. Thus, the minimum value for y = 24.
Answer:
24
Step-by-step explanation:
Santa needs to hire extra help for the busy season. 9 elves can pack 27 toys in Santa's sleigh in an hour.
How many elves are needed to pack 240 toys each hour?
Answer:
Number of elves= 80 elves
Step-by-step explanation:
If 9 elves can pack 27 toys per hour. This means that each elf packs 3 toys per hour:
Toys per elf= 27/9 = 3
Now, we need to determine the number fo elves needed to pack 240 toys per hour:
Number of elves= number of toys/toys per elf
Number of elves= 240/3
Number of elves= 80 elves
Find the value of x so that the function has the given value
H(x)=-7x
H(x)=63
Answer:
x=-9
Step-by-step explanation:
-7x=63
x = 63 ÷ -7 = -9
-5/8+(-8/5)!! Please help
Answer:
Step-by-step explanation:
-4.32193257293
Find the value of 5x - 4x^2 for x=2
Answer:
=10
Step-by-step explanation:
5x-4x². (x=2)
5(2)-4(2)²
=10-0
=10
pls help me 20 points
Answer:
the length of the minute hand is 36/100 . 150 = 54 (mm)
y is the distance between the minute hand and the hour hand now
x is the angle beween the minute hand and the hour hand, so we have:
cos x = 36/54 = 2/3 => sin x = [tex]\sqrt{1-(\frac{2}{3})^{2} }=\frac{\sqrt{5} }{3}=\frac{y}{54}[/tex] => y = 18√5 (mm)
a) see in the ques, u can see that in 45', the minute hand will move a distance equal to 2 times its length and a distance = 2.18√5 (mm)
=> the distance which the minute hand will move is 54.2 + 2.18√5 = 188,50 (mm)
b) the distance which the minute hand will move in 1h is 54.4 - 18√5 = 175,75(mm)
the distance which the hour hand will move in 1h is 36.4 = 144 (mm)
=> the minute hand will move: 175,75 - 144 = 31,75(mm) further than the hour hand
Step-by-step explanation:
Which describes the correlation shown in the scatterplot?
Answer:
Option.B
There is a negative correlation in the data set
The correlation shown in the data is negative correlation.
What is Scatterplots?Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.
Positive correlation is defined as the relationship where the value of y increases with the increase in the value of x.
Negative correlation is defined as the relationship where the value of y decreases with the decrease in the value of x.
Here the points are in such a way that the value of y decreases with increase in x.
So it is negative correlation.
Hence the correct answer is negative correlation.
Learn more about Scatterplots here :
https://brainly.com/question/14234464
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