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)
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 273200 dollars is placed in an account with an annual interest rate of 8.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 9600
dollars?
Hello, I come from the deltamath past to help you, in the deltamath future. It’s 13.9
47 Which table contains only values that satisfy the equation y = 0.5x + 14?
Х
y
х
y
0
0
014
5
35
A
5 16.5
С
10
70
10 19
15
105
15 21.5
20
140
20 24
Х
y
Х
y
0
14
0
5
39
B
5
14.5
D
10
64
10
15
15
89
15
15.5
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
solve and graph this equation. x - 1 <2x + 3 < x + 4?
Answer:
Answer = (-4,1)
Step-by-step explanation:
Amy had a $10 monthly fee for music streaming due when she received her paycheck. After paying for the music streaming service, she had $65 remaining from her paycheck. Write and then evaluate a subtraction expression to determine the original value of Amy's paycheck
Answer:
10+65=75 75-10=65
A subtraction expression to determine the original value of Amy's paycheck is x-10=65.
Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the original value of Amy's paycheck be x
According to the question, x-10=65
⇒ x=$75
Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Step-by-step explanation:
2500×5%=125
125×2=250
2500+250=2750$
Answer:
2756.25 This is what he will pay going into the third year.
Step-by-step explanation:
This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?
Or do you compound the rent after each Year.
Simple Interest
Rent after the first year
Rent after first year = 2500 + 5%*2500
Rent after first year = 2500 + 125
Rent after first year = 2625
The rent after the second year will be the same.
Compound interest.
Rent after first year is 2625
At the end of the second year it will be 2625 + 2625*5%
Second year payment = 2625 + 2625*5/100
Second year payment = 2625 + 131.25
Second year payment = 2756.25
what is the slope of (1,-3) and (-5,-4)
Answer:
slope is 1/6
Step-by-step explanation:
How many different triangles ABC can be formed if C=60∘, c=17√3 and a=34?
Answer:
Jordan, Its been 5 hours, whats the answer?
Step-by-step explanation:
There can be only 1 triangle formed by the given information.
What is triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
Given that, ABC can be formed if C=60∘, c=17√3 and a=34
Using the sine law for triangle,
A/sina = B/sinb = C/sinc
34/sina = 17√3/sin60°
⇒ sina = 90°
Since, The triangle ABC is a right triangle,
Hence, There can be only 1 triangle formed by the given information.
For more references on triangle, click;
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9c + 1 = 10 what is the answer the algebra way?
Answer:
c=1
Step-by-step explanation:
subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1
Answer:
c = 1
Step-by-step explanation:
The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.
Hope this helps! :)
What is 5/8 ÷ 3/4 I need to know this please hurry
Answer:
5/6
Step-by-step explanation:
i used a caculater
BRAINLIEST PLEASE
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
Answers are in standard notation
Answer: Aproxamatly 18.999999999999999
Step-by-step explanation:
If you are buying at item at a store for a price of $66, and there is a 5.1% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$69.37
Step-by-step explanation:
Before Tax Price: $66.00
Sale Tax: 5.10% or $3.37
After Tax Price: $69.37
2. What is the greatest
common factor of 18 and
36?
A.18
B. 36
C. 72
D. 144
Answer: 18 and 36 is A.
Step-by-step explanation:
X= -11, y=11 pls help if you can thank you
Answer:
here
Step-by-step explanation:
x= - 11 and y =11
Answer:
11:)
Step-by-step explanation:
Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?
having trouble with this lesson could anyone help?
Answer:
13.7
Step-by-step explanation:
1.37 x 10^1
Solve the exponent.
1.37 x 10
13.7 is the standard form of 1.37 x 10^1.
Mark me brainliest plzz and thank you
make me brainliest by clicking the crown at the bottom of this answer next to the comments button thank you!!
Show your work
125-12%
Answer:
110
Step-by-step explanation:
5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
help possible branliest
Answer:
1.81
2.2^7
3. 4^5
4. 2^9
5. 1
6. 4^5
7. 6
8. 3^8
9. 15^0
10. 2^3
11. 3^2
12. 216
13. 5^3
14. 225
15. 343
16. 11^2
17. 625
18. 5^4
19. 169
20. 10^4
Step-by-step explanation:
Convert the measurements below:
a. 8 millimeters = ____meters
Answer:
0.008 meters
Step-by-step explanation:
Answer:
0.008 meters
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.
What was the value of b?
A. –6
B. –2
C. 2
D. 10
Answer: C. 2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Begin by removing the brackets
4x + 5(-4x - b) = -16x - 5b
-(x - 2) = -x + 2
Add the two binomials together to get the third one
4x -20x - 5b - x + 2 = -17x - 8 Combine the like terms on both sides
-17x - 5b +2 = -17x - 8 Add 17x to both sides
-5b + 2 = - 8 Subtract 2 from both sides
-5b +2 -2 =- 8 -2 Combine
-5b = - 10 Divide by -5
b = -10/-5
b = 2
-4x +8 = 12
what does x =
Answer:
x = -1
Step-by-step explanation:
-4x + 8 = 12
-8 -8
-4x = 4
divide both sides by -4
x = -1
Hope this helps!!!
Solve 4h = 92 for h.
h = ___
Answer:
H= 23
Step-by-step explanation:
92 divided by 4 will give you 23
Answer:
h = 23
Step-by-step explanation:
Divide each term by 4 and simplify.
Plzzzzzzz helppppppp
Answer:
a i think
Step-by-step explanation:
Answer:
Y = -5 + 5
Step-by-step explanation:
You can check the y intercept and it's a negative 5 slope
Which is true about the solution to the system of inequalities shown
Answer:
look below for question
Step-by-step explanation:
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
Only values that satisfy y > 3x + 1 are solutions.
Only values that satisfy y < 3x – 3 are solutions.
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
There are no solutions.
Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.
Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?
Answer:
35
Step-by-step explanation:
*I'm just gonna answer this*
When you are 70, your brother will be 67.
If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.
In a classroom, for every 8 girls there are 5 boys. What is the ratio of boys to girls?
Answer:
5:8
Step-by-step explanation:
Answer:
8 to 5
Step-by-step explanation:
Solve the system of equations by substitution.
3x+y = 10
7x+ 2y= 24
A. (2,4)
B. (2,-6)
C. (4,-2)
D. (2,-4)
If you can, explain step by step please :)
Answer:
C
Step-by-step explanation:
3x+y=10---(1)
7x+2y=24---(2)
From(1)
3x+y=10
y=10-3x---(3)
Substitute(3)into(2)
7x+2y=24
7x+2(10-3x)=24
7x+20-6x=24
x+20=24
x=24-20
x=4
Substitute x=4 into (1)
3x+y=10
3(4)+y=10
12+y=10
y=10-12
y=-2
1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
Answer:
10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
