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 of the parabola is (4, -3)
∵ The focus is (h, k + p)
∴ h = 4
∴ k + p = -3 ⇒ (1)
∵ It has a directrix of y = 5
∵ The directrix of the parabola is y = k - p
∴ k - p = 5 ⇒ (2)
→ Add equations (1) and (2) to find k and p
∵ (k + k) + (p - p) = (-3 + 5)
∴ 2k + 0 = 2
∴ 2k = 2
→ Divide both sides by 2
∴ k = 1
→ Substitute the value of k in equation (1)
∵ 1 + p = -3
→ Subtract 1 from both sides
∴ 1 - 1 + p = -3 - 1
∴ p = -4
∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)
→ Substitute the values of h, k, p in it
∴ (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)
Cards numbered 500 through 799 are placed into a box. How many of the cards satisfy both of the conditions shown below?
. The first digit of the three-digit number on the card is odd.
• The three-digit number on the card is divisible by 6.
A
50
33
25
12
Answer:
33
Step-by-step explanation:
Divide:
16)160
A. 10
B. 11
C. 16
D. 26
E. 100
Answer:
10
Step-by-step explanation:
your welcome...............
i only need number 7 and 9 please help and show work
Answer:
9
1=49
2=131
3=131
Step-by-step explanation:
1=4
2,3=180-49
and you should answer 7 like this
Carl sees 25 melons at the store. 15 are small and the rest are large. How many melons are large?
Answer: 10 large melons
Step-by-step explanation:
Carl saw 25 melons at a store.
Of these 25, 15 were small and the rest were large.
The number of large melons will have to be the whole total of 25 melons less the number of small melons which is 15:
= 25 total melons - 15 small melons
= 10 large melons
IGNORE MY ANSWERS BUT WILL SOMEONE PLEASE HELP ME!!!!!!!!!!!! 15 POINTS ON THIS QUESTION
Answer:
A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5
L=1
Step-by-step explanation:
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest if right!!!
This one is timed. Please help!!!!!!
Answer:
n=2
Step-by-step explanation:
Answer:
the value of n is 2 llalala
Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walters drove 480 miles on 32 gallons of gas.
b. Find the mileage per gallon for Mr. Walters's car.
Please explain how you got this answer
Answer:
Mr.Walters car can go 15 miles on one gallon of gas.
Step-by-step explanation:
To find this, you first want to put it into a ratio.
480:32
Next, you want to divide.
480/32
After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.
Answer:
15 miles
Step-by-step explanation:
Someone help asap Ill give brainlest!
Answer:
y = -3x -2
Step-by-step explanation:
-2 is the y intercept
helppp i have this test due soon :C
Answer: D.)
Step-by-step explanation:
Add the rates. 3:1 (3+1)=4
multiply it to the rate. 3(4), 1(4) = 12 and 4
Side a is 12 inches long and side b is 4 inches long.
Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Lupe was $11 an hour,but only received a $300 bonus. How many hours would they need to work in order to get paid at the same at tye end of the summer?
Answer:
Step-by-step explanation:
First make an equation,
8x+500=11x+300
Then, with pemdas, cancel out 300 and 8x
200=3x
Divide both sides by 3
Answer is 66.6 reapeating or about 67 hours
Divide. Write the quotient in lowest terms.
1 1/4 divided by 1 2/5
Whoever answers first and accurately will mark brainliest!
Answer:
25/28
Step-by-step explanation:
convert to mixed numbers 5/4 divided by 7/5
Then keep, change, and flip to get your answer. Hope this helps. Good Luck.
4. Write each Radical in Simplified Form (No Decimals.)
A) V28
B) 500
C) 7162
Answer:
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Step-by-step explanation:
Given (Correct Parameters)
[tex]\sqrt {28[/tex]
[tex]\sqrt {500[/tex]
[tex]\sqrt {162[/tex]
Required
Express in simplified form
[tex]\sqrt {28[/tex]
Express 28 as 4 * 7
[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]
Take positive square root of 4
[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500[/tex]
Express 500 as 100 * 5
[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]
Take positive square root of 100
[tex]\sqrt {500} = 10 * \sqrt {5[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162[/tex]
Express 162 as 81 *2
[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]
Take positive square root of 81
[tex]\sqrt {162} = 9 * \sqrt {2[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
a rectangles side lengths are 8 cm and 4 cm. Approximate the length of the diagonal of the rectangle to the nearest tenth.
Answer:
8.4cm
Step-by-step explanation:
first you have to square both sides
8²+4²= Hypotenuse (the diagonal)
you'll get
56 + 16
next you add it, and it'll equal 72
lastly you'll find the square root of that number
which is going to give you 8.4
introduces a study where researchers studying the relationship between honesty, age, and self-control conducted an experiment on 1G0 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
Answer:
The solution to this question can be defined as follows:
Step-by-step explanation:
In choice a:
Both children between 5 and 15 years old and 160 years old are also the populations of interest, and Kids from 5 to 15 years of age.
In choice b:
These findings could be compared like we do not know whether the groups were randomly selected, and the allocation is still not random; there could be no casual conclusion because the statement is valid even With sample research, and after randomization, filtering, and testing of 160 specimens (instruction vs no-instruction) Its analysis can be common to the community and replicated. There could be explanatory relations generated by experimental research. This analysis is observational and can therefore be used Causal relationships are established.gggg
3. You and your friends were playing basketball last week. You were short a
player, so your younger sister joined the game. She crushed it scoring 12
shots for 28 points.
How many 2 point and 3 point baskets did she score?
Answer:
she scored 8 2 pointers and 4 3 pointers
Step-by-step explanation:
In the expression 3x - 4y + z, what is the
coefficient of z?
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of a variable. There is a hidden coefficient of 1 in front of z. The reason it is not shown is because any number multiplied by 1 is just that number so showing the 1 is redundant.
The coefficient of z in the expression 3x- 4y +z is 1.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
3x - 4y + z
As, we know a coefficient is a number that is multiplied by a variable.
So, the coefficient of x is 3, coefficient of y is 4 and coefficient of z is 1.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
(What number makes the equation true? Enter the answer )4=20 divided by
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
We can divide 20 by 4 to find the other number that 20 is divisible by. 20 divided by 4 is 5. So, 20 divided by 5 is 4.
Is this a positive slope or a negative slope????
Answer : Negative ( sorry i i get it wrong but i tried)
Step-by-step explanation:
4. Which of the following is NOT an example of annuities?
a. pension
b. educational plan
d. deposit
c. car loan
D. deposit
kaakakashshhhshssbs
Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.
Answer:
8736
Step-by-step explanation:
The LCM of 156 and 224
First find the highest common factor between the two number
156 = 4 * 39
224 = 4 * 56
Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.
As such, the LCM of 156 and 224
= 4 * 39 * 56
= 8736
Answer:
8736
Step-by-step explanation:
The LCM of 156 and 224
First find the highest common factor between the two number
156 = 4 * 39
224 = 4 * 56
Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.
As such, the LCM of 156 and 224
= 4 * 39 * 56
= 8736
Simplify: -2(-4-7b) + 10b
Answer:
8+24b
Step-by-step explanation:
Answer:
2(12b+4)
Step-by-step explanation:
-2(-7b-4)+10b : Rearrange the expression
2 : Find the greatest common factor of the terms.
-2(-7b-4)+10b : Focus on
2(7b+4+5b) : Factor out the greatest common factor
2(12b+4) : Simplify
Hope that helps
which expression is equivalent to,
2/3x+(-4)(-5)=5x?
A.1-X-91
B. 3x-1
C.1X-93x
D. X + 9
From which store should Dylan make his purchase if he wants to get the best price per unit?
Answer:
Store 1
Step-by-step explanation:
Given
See attachment
Required
Determine the store with the best price per unit
It should be noted that the store with the best has the least price per unit.
So, we have:
Store 1
[tex]Quantity = 10\ ft[/tex]
[tex]Price = \$2.50[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$2.50}{10\ ft}[/tex]
Rate = $0.250 per feet
Store 2
[tex]Quantity = 2\ yd[/tex]
[tex]Price = \$1.85[/tex]
Convert quantity to feet
[tex]Quantity = 2 * 3ft = 6ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$1.85}{6\ ft}[/tex]
Rate = $0.308 per feet
Store 3
[tex]Quantity = 12\ ft[/tex]
[tex]Price = \$3.40[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$3.40}{12\ ft}[/tex]
Rate = $0.283 per feet
Store 4
[tex]Quantity = 5\ yd[/tex]
[tex]Price = \$4.00[/tex]
Convert quantity to feet
[tex]Quantity = 5 * 3ft = 15ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$4.00}{15\ ft}[/tex]
Rate = $0.267 per feet
From the calculations above; store 1 has the least unit rate.
Hence, store 1 has the best price per unit
HELP PLZZZzZZZZZZZ ASAP !!
Answer:
1 8/25
Step-by-step explanation:
1 32/100 = 1 8/25
Write down the first five terms of the sequence which has the n th term
Answer:
2
A) 12
B) 18
C) 20
D) 11
E) 25
F) 33
Step-by-step explanation:
because the next of the 10 is 12
can you please answer this? i dont understand
Answer:
Unit rate= constant change or slope Take two points: we see that as gallons increase per 2 gallons then the increase is 31 milesHence unit rate is 31/2 or 15.5Try the next one! As for any help!!What is the circumference of the circle with a diameter of 10 inches using ≈ . ?
Answer: 31.4
Step-by-step explanation:
C=πd
C=π×10
C=10π
C=31.4
What is the value of y=6−4x when x=2?
Answer:
y = -2
Step-by-step explanation:
You substitute 2 as x, y = 6 - 4 * 2, which is y = 6 - 8 = -2.
What is the inverse function of
Answer:
Step-by-step explanation:
i think its C? dont take my word for it
Help!! Which inequality models the word sentence? A number reduced by 10 is more than 25. Question 2 options: m-10>25 m-10<25 m−10≤25 m−10≥25
Answer:
Option 4
Step-by-step explanation: