Answer:
Option A: (-10,0)
Step-by-step explanation:
The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].
Mateus recorded the number of miles driven and the amount
of gasoline used in the table below.
Gas Mileage
Distance Gas Usage
(in miles) (in gallons)
105
5
210
10
315
15
420
20
At this rate, what is the maximum miles that can be driven
with 12 gallons of gasoline?
A) 220 miles
B) 236 miles
C) 252 miles
D) 262.5 miles
Answer:
C. 252 miles.
Step-by-step explanation:
Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.
Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.
105/5=21
Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.
21x2=42.
Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.
210+42=252
can hellp me with this plzzzzzzz no links plz
solve similar triangles (advanced)
Answer:
x = 3/2
Step-by-step explanation:
ΔACB ≈ ΔAED due to hypotenuse-leg theorem
therefore, BC/BA = DE/AD
4/6 = 5/(x+6)
cross-multiply to get:
4(x+6) = 6(5)
4x + 24 = 30
4x = 6
x = 6/4 or 3/2
check:
4/6 = 5/7.5; the cross-products are both equal to 30
Select all the polygons that have reflection symmetry.
A quadrilateral with two pairs of adjacent congruent sides, forming a kite.
A polygon is shaped like a composite figure made up of a rectangle with a small square on its top side and the same sized square on its right side.
A polygon shaped like a five-pointed star in which the left and right sides of the star are mirror images
A six-sided polygon that generally appears as a diagonally-oriented trapezoid attached to a shorter horizontally-oriented rectangle.
Assessment navigation
(added this for all^ my homies with k12 so its easier to find just ignore it)
Reflection Symmetry-
Line symmetry is also called as the reflection symmetry. If, at least one line that divides a figure into two halves such that one-half is the mirror image of the other half, exists, then the figure is said to be in reflection symmetry.
Analyzing all the 4 figures, it can be deduced that only 1st and 2nd figures have one symmetry line XX, as shown in the attachments.
3rd and 4th figures do not have any axisymmetric lines, so they are not in reflection symmetry.
vertical and horizontal asymptotes
Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER
========================================================
Explanation:
1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.
3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.
A shoe store donated a percent of every sale to hospitals. The total sales were $9,950 so the store donated $796. What percent of 9,950 was donated to hospitals?
Answer:
8%
Step-by-step explanation:
when solving with percentages, you can “cross multiply”,
we know the fraction would be set up this way:
[tex]\frac{769}{9950}*\frac{x}{100}[/tex]
*there would be an 100 bc a percentage is out of 100*
Now, you have to multiply 769 by 100
[tex]769*100=\\ 76900[/tex]
Then divide by 9950 to get “x”
[tex]79600/9950=\\ 8[/tex]
hope this helps!
Somebody please help
m∠C = 31
m∠D = 83
M∠E = 66
Hope this is helpful!
Express the quotient as a fraction in simplest form. -5-7 divided by 6/7
Answer:
a) -5/6
Step-by-step explanation:
[tex] - \frac{5}{7} \div \frac{6}{7} [/tex]
keep, change, flip
[tex] - \frac{5}{7} \times \frac{7}{6} [/tex]
[tex] - \frac{35}{42} [/tex]
simplify
35 ÷7=5
42÷7= 6
Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.
Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.
It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.
From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.
Learn more about tax credit on:
https://brainly.com/question/25895721
What is the hardest metal
if you get it right I'll give you brainliest
Answer:
is tungtset i tink not sure bout
Step-by-step explanation:
mark me brainlest plz
It would be appreciated if there could be an explanation along the answer
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°
Smallest Positive fraction
Answer: 1/5?
Step-by-step explanation:
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?
Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
[tex] \frac{5}{5x - 7} = 10[/tex]
solve the equation.
Answer:
x=1.5
Step-by-step explanation:
5=10(5x-7)0.5=5x-77.5=5xx=1.52a- 1-4 1/3a+ 7-a consider the linear expression what are the like terms in the expression simplify the linear expression
Answer:
2a7-1
Step-by-step explanation:
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
please please help!! it’s geometry and im struggling really badly
Answer:
10. SAS
11. SAS
12. SAS
13. SSS
14. SSS
15.ASA
Step-by-step explanation:
The figure below shows a rectangular prism and a cube:
A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch.
How many such cubes are required to completely pack the prism without any gap or overlap?
choices:
288
576
1,152
1,636
Answer:
576
Step-by-step explanation:
find the volume and then divide by the cube
1. Nimish bought a motorcycle for ₹37,690 and sold it for ₹39,100. Find his
profit or loss.
Answer:
1410
Step-by-step explanation:
Selling Price= 39100
Buying Price= 37690
Profit= Selling Price - Buying price
=39100-37690
=1410
His profit: ₹39,100 - ₹37,690 = ₹1,410
=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)
His profit is 3.75% than the original price
ok done. Thank to me :>
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
Given the two similar triangles below, which proportion is true?
Answer:
B) 10/15 = 15/22.5
Step-by-step explanation:
For the two triangles, proportions that involve ratios of the corresponding sides are true.
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
please help ASAP!
Answer:
46.28
Step-by-step explanation:
rectangle = 10×4 = 40 ft²
semicircle = 1/2×3.14×2×2 = 6.28 ft²
area of this figure is 40+6.28 = 46.28 ft²
Can someone help me?
Answer:
d
Step-by-step explanation:
how I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
It's a direct variation condition,
hence ratio remains constant.
39 - 3
x - 4
x = 4×39/3 = 4×13 = 52 .. (for first blank space)
39 - 3
x - 10
x = 39×10/3 = 13×10 = 130 .. (for second blank space)
Answer:
39 ____ 3
52 ____ 4
130 ____ 10
To get the smaller numbers to a bigger one you'll times them by 13.
Divide 39 by 3 and you'll get 13 then time 4 by 13 to get the missing box answer do the same for number 10.
Find the 75th term of the arithmetic sequence
16, 15, 14,
Answer:
[tex]a_{75}=-58[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference and n is the index of any given term.
For the given sequence, the common difference is -1:
[tex]15-16=-1\\14-15=-1[/tex]
Knowing both the common difference and the first term, you can write the equation for this sequence:
[tex]a_n=16+(n-1)(-1)[/tex]
Then you can use that equation to find the 75th term:
[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]
(Will give 1,000 points!) Look at the two 3s in this number:
89.033
Which of these statements is true? Choose all that apply.
A
The blue 3 on the left is 300 times the value of the orange 3 on the right.
B
The blue 3 on the left is 100 times the value of the orange 3 on the right.
C
The blue 3 on the left is 10 times the value of the orange 3 on the right.
D
The blue 3 on the left is equivalent to the orange 3 on the right.
E
The orange 3 on the right is 1/10 of the value of the blue 3 on the left.
(And yes there are multiple answers!)
The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"
This question bothers on place values.
Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).
We need to check which of the statement is correct.
For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;
1/100 = 300(1/1000)1/100 = 3/10Since 0.01≠0.3, hence the first option is wrong
For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;
1/100 = 100(1/1000)1/100 = 1/100.01≠0.1, hence the second option is wrong.
The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place
The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;
1/1000 = 1/10(1/100)0.001 = 0.001Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"
Learn more on place values here: https://brainly.com/question/627658
Which graph shows a dilation?
PLS I RLLY NEED HELP
Water flows out of a tank at the rate of 400 ml per minute. How long
will it take for 7.2 liters of water to flow out of the tank?
Answer:
18 minutes
Step-by-step explanation:
7.2 litres is 7200ml
each minute 400ml leaves the tank
so the question being asked is how many 400's are there in 7200...
7200 divided by 400 is 18.
10)
4x-9
X + 18
Solve for x
Answer:
x = 9
Step-by-step explanation:
The alternate interior angles theorem tells us that these two quantities must be the same.
Therefore,
x + 18 = 4x - 9
x + 18 + 9 = 4x
x + 27 = 4x
27 = 4x - x
27 = 3x
x = 9
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