Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
Someone please help me !!!!!
Below are the test scores of nine students on the math test:
50, 50, 50, 50, 51, 89, 90, 90, 90
What is the mean absolute deviation of the test scores? (round to the nearest thousandth)
Answer:
The mean absolute deviation is 19.5
Step-by-step explanation:
Hope this helps!
CAN SOMEONE HELP ME PLEASE
Answer:
B) EF
Step-by-step explanation:
A diameter the length of the line through the center that touches two points on the edge of the circle.
In this case, EF is the two points touching the edge of the circle.
A lion can run 18 mph faster than a giraffe. If a lion can run 50 mph how fast can the giraffe run?
Answer:
32
Step-by-step explanation:
its just 50 minus 18 and dont forget to borrow
Answer:
32mph
Step-by-step explanation:
So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph
So in conclusion the giraffe can run 32mph if a lion is running at 50mph
Help me pleasee Jesus (10 points )
Answer:
Pretty sure it's 29
Step-by-step explanation:
The triangle has to be 180 degrees so 15+36=51 180-51=29
Answer:
45°
Step-by-step explanation:In a triangle all the angles added together will equal 180°
determine whether the triangles are congruent by sss sas asa aas or hl
What is the equation of this line?
Please Help
y=1/2x -2
y=-2x -2
y=2x -2
y=-1/2x -2
Answer:
the first option
Step-by-step explanation:
the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept
PLEASE HELP!! Algebra 2
Answer:
No
Edit:
Yes, based on original equation. (Credit to greenpumpkin for correction)
Step-by-step explanation:
For this problem, we simply need to find the values of x that can make the equation true. So, let's begin by isolating the "x" variable.
sqrt(2x + 13) = x + 5
[sqrt(2x + 13)]^2 = (x + 5)^2
2x + 13 = x^2 + 10x + 25
0 = x^2 + 8x + 12
Note, we can remove the sqrt method by squaring both sides of the equation. Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.
[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a
Let a = 1, b = 8, and c = 12
[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)
= [-8 +/- sqrt( 64 - 48 ) ] / 2
= [-8 +/- sqrt(16) ] / 2
= [ -8 +/- 4 ] / 2
So, x = [ -8 + 4 ] / 2 and x = [-8 - 4 ] / 2
x = [-4] / 2 = -2 and x = [-12] / 2 = -6
Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.
Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.
Cheers.
----------------------------------------------------
Edit:
Plugging the value of -6 back into the original equation, we get the following:
sqrt(2x + 13) = x + 5
sqrt(2(-6) + 13) = (-6) + 5
sqrt (1) = -1
1 != -1
Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)
The cost of 4 belts and 5 ties is $247. Each time costs 3 times as much as a belt. What us the total cost of 1 belt and 1 tie
Answer:
The total cost of 1 belt and 1 tie is $13 and $39 respectively.
Step-by-step explanation:
Given that,
The cost of 4 belts and 5 ties is $247.
Each tie costs 3 times as much as a belt.
Let the cost of a belt is x and that of a tie is y.
ATQ,
4x + 5y = 247 ...(1)
y = 3x ....(2)
Put the value of y from equation (2) in equation (1)
4x + 5(3x) = 247
4x + 15x = 247
19x = 247
x = 13
Put the value in equation (2)
y = 3x
= 3(13)
= 39
So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.
11)
Paul pays the delivery man £180 for working 24 hours.
How much will he pay him for working 40 hours?
£
Answer:
£196
Step-by-step explanation:
1) 180/24=7.5
2) 40-24=16
3) 180+16=196
so he has to pay £196
this is probley easy...
Adult giraffes eat about 75 pounds of food in a day. On average, an area can provide 450 pounds of food per day for giraffes.
Based on this information only, what is the carrying capacity for adult giraffes in this area?
o6
o75
o375
o450
Answer:
6
Step-by-step explanation:
divide 450 and 75
Answer:
6
Step-by-step explanation:
The other person is correct I did the test
Solve.
4x -6= 14
X=?
Answer:
5
Step-by-step explanation:
Given:
[tex]4x-6=14[/tex]
Add both sides by 6:
[tex]4x-6=14[/tex]
[tex]+6=+6[/tex]
[tex]4x=20[/tex]
Divide by 4:
[tex]\frac{4x}{4} =\frac{20}{4}[/tex]
Solve for x
[tex]x=5[/tex]
The value of x in the equation is 5.
Given is an equation 4x - 6 = 14, we need to find the value of x,
To find the value of x in the equation 4x - 6 = 14, we can follow these steps:
Add 6 to both sides of the equation to isolate the term with x:
4x - 6 + 6 = 14 + 6
4x = 20
Divide both sides of the equation by 4 to solve for x:
(4x)/4 = 20/4
x = 5
Therefore, the value of x in the equation 4x - 6 = 14 is 5.
Learn more about equation click;
https://brainly.com/question/29538993
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What are the coordinates of the red dot?
O (2,5)
10
(5,2)
O (-5,2)
-5
0 (-5,-2)
Explain your thinking.
K
-10
-5
0
6
10
✓
Share with Class
- 10
Answer:
(5, 2)
Step-by-step explanation:
Coordinates of a point in a coordinate plane is usually written as (x, y). This point contains the value of x and its corresponding y value.
The red dot on the plane given, if you trace it down to the x-axis, it is at x = 5, while if you trace it horizontally against the y-axis, you'd have y = 2.
Therefore, the coordinates of the red dot is (5, 2).
3) There were 35 children and 10 adults at a barbeque.
a. What is the ratio of adults to
children at the barbeque?
b. What is the ratio of children to
total people at the barbeque?
c. Five more children came to the
barbeque. Now what is the ratio
of children to total people?
Answer:
3. a. 10:35= 2:7
b.35:45=7:9
c.40:50=4:5
What is f'(x) = if f(x) =4tan (1/2-x
No need to answer I just want to get rid of the points.
Answer:
ok
Step-by-step explanation:
4/ PLEASE HELP ME ON THIS. ASAP
Answer: a,b,d,e are all right beacuse they all relate to the question
Step-by-step explanation:
c how ever is no shown on the graph and is therefor wrong
Twelve is at least a number decreased by 7
Answer:
12 ≥ x - 7
Step-by-step Explanation:
When it says twelve is at least, it means that twelve is at least equal to something and it can also be greater. And when it says a number decreased by seven, it means a number, which is the variable x because it’s unknown, minus 7. All of this can be expressed as 12 ≥ x - 7, which is true because a number, which is x, minus 7, is the smallest “thing” that 12 can equal to.
I hope you understand and that this helps with your question! :)
what is 62 divided by 17 plus 29
I will mark brainliest
Answer:
32.647
Step-by-step explanation:
Is angle B a right angle ?
32, 64, 128, 256
in the number pattern above, each term is 2 times the previous term. which of the following is also true about the patterns?
A. all number are multiples of 4
B. all numbers are multiples of 3
c. all number have 5 as a factor
D. all numbers have 6 as a factor
Answer:
all are multiples of 4
Step-by-step explanation:
On Monday, November 16, 2020, 11 students from class 731 were present for math class. If there are 29 students enrolled in class 731, approximately what percent of the students were absent? Round your answer to the nearest percent.
Answer:
62%
Step-by-step explanation:
cross-multiply and do some algebra and boom, you have the answer
Pls hurry I’m being timed
Answer:
c
Step-by-step explanation:
the answer is quadrant 1 it's going from right to left, so this would be in quadrant 1, an negative x and positive y would be in quadrant 2, an negative x and negative y would be in quadrant 3, and a positive x and a negative y would be in quadrant 4.
What is 2,356 divided by 27
Answer:336.57
Step-by-step explanation:
Answer:
87.259.
Step-by-step explanation:
During the month of april it rains 2 days for every 3 days it does not rain. what percent of the days in April does it rain?
(dont answer this if you cannot xd)
Answer:
40%
Step-by-step explanation:
I pretty sure this is correct. let me know if its not and i will try again!
Answer:3. |x-3|= 1/2
Step-by-step explanation: Each terms of a certain sequence is greater than the term befor it. The difference between any two consecutive terms in the same sequence is always the same number. If the third and sixth terms of the sequence are 17 and 77, respectively, what is the 8th term?
3. |x-3|= 1/2
if you have a GCF of x is that a root?
Answer:
No,
Step-by-step explanation:
No, GCF is not a root, it is the coefficient of x.
easy question and easy point
what is 2+2-2+6*8
help neeeddded........
Answer:
D 7a - 11b
Step-by-step explanation:
9a- b -2a - 10b
7a - b -10b
7a - 11b
Answer:
I believe the correct answer is D.
Step-by-step explanation:
Simplify 5(2 - 7n) =
Answer:
10-35n=?
Step-by-step explanation:
This would be in simplest form
Answer:
10 - 35n
Step-by-step explanation:
Step 1:
5 ( 2 - 7n ) Equation
Step 2:
( 5 × 2 ) - ( 5 × 7n ) Multiply
Answer:
10 - 35n
Hope This Helps :)
PLEASE HELP STAT WILL MARK BRAINLIEST.
There are 78 skiers in line to ride the chair lift. If each chair seats 4 people, how many skiers will be on the last chair? [REMAINDER]
Answer:
19 r2
Step-by-step explanation:
okay so if you have 19.5 and there are 4 people per chair lift. You have to find half of 4 because .5 equals one half in this situation.
4 divided by 2 equals 2 so your remainder is 2
It's impossible to use a Cartesian coordinate system to measure three-
dimensional objects.
A. True
B. False
Answer:
False
Step-by-step explanation:
(Mark me Brainliest Please .-. )