8x + y = -16
-3x + y = -5
solve the system of equations by elimination
ANS
9 quarters and 5 dimes
A parabola can be drawn given a focus of (4, -8) and a directrix of y=-6
. What can be said about the parabola?
Answer:
y = 1/4 (x-4)² - 7
Step-by-step explanation:
Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
√(x-4)²+(y- -8)² = √(y- -6)²
(x-4)² + (y+8)² = (y+6)²
(y+8)² - (y+6)² = (x-4)²
(y²+16y+64) - (y²+12y+36) = (x-4)²
y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
4y = (x-4)² - 28
y = 1/4 (x-4)² - 7
standard formula of parabola: y = a(x-h)² + k (h,k): vertex (4,-7)
The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Now,
Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
Hence, We can formulate;
⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²
⇒ (x-4)² + (y+8)² = (y+6)²
⇒ (y+8)² - (y+6)² = (x-4)²
⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²
⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
⇒ 4y = (x-4)² - 28
⇒ y = 1/4 (x-4)² - 7
Thus, The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
Learn more about parabola visit:
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Need help with this question
Answer: Well you would have to look at the options in the drop down and then find the terms and others
Step-by-step explanation:
Match the equivalent expressions.
Pls help me
Answer:
1/9 = 3^-2
1/8 = 2^-3
9 = 3²
8 = 2³
find the GCF of 30x^3 and 12x^4
Answer:6x^3
Step-by-step explanation: That’s the biggest factor that can be taken out of both equations
Pls help if you know the answer and explain, if you get it right I'll give you brainly
find the volume of the larger rectangular prism
Answer:
1/8 to the power of 3
Step-by-step explanation:
its 1/2 length x 1/2 width x 1/2 height
Which of the following is the graph of f(x) = 3x - 4[ + 1?
Answer:
The first answer choice I think
Step-by-step explanation:
to the right 4 units
up one
vertical compression by 3
20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)
Answer:
I'll do the dilation for the first point and you will see the answer (please verify the second point)
Step-by-step explanation:
The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.
so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.
so the dilated point for (-4,-4) is (-14, -14)
Please verify by computing the dilated point for (-6,4)
Help me with this problem ASAP
the areas of three rectangle is 3:7:8 . if the average area of the three rectangle is 18cm2,find the different between the biggest rectangle and the smallest rectangle .
Answer:
15 sq cm
Step-by-step explanation:
Let 3x = area of 1st rectangle
7x = area of 2nd rectangle
8x = area of 3rd rectangle
(3x + 7x + 8x)/3 = 18
3x + 7x + 8x = 54
18x = 54
x = 3
3x = 3(3) = 9 = area of 1st rectangle (smallest)
8x = 8(3) = 24 = area of 3rd rectangle (biggest)
24 - 9 = 15 sq cm
Don’t need to show work
Answer:
44
Step-by-step explanation:
A soccer player is going to kick a soccer ball from one corner of a field to the opposite corner. If the field is 68 meters long and 51 meters wide, how far will the soccer player have to kick the ball?
Answer:
85 m.
Step-by-step explanation:
Use Pythagoras Theorem:
x^2 = 51^2 + 68^2
= 7225
x = √7225
= 85
Y= -16x^2+181x+59 is the question
Answer:16x2 + 181x + 59
Step-by-step explanation:It cannot be factored
Answer:
Step-by-step explanation:
11.26 is the correct answer
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS-
Sorry about that, here's the answers.
1. expanded form
2. regroup
3. place value
4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.
5. D. Ten thousands place
Answer:
1. Expanded form
2. Regroup
3. Place value
4. A, C, D,
C is correct because a one is equal to 1.
1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.
5. A
Step-by-step explanation:
1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.
2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.
3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.
4. My answer explains it.
5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.
Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.
Answer:
70
Step-by-step explanation:
Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.
We rearrange the terms
54, 86, 105, 135, 150
First Quartile formula =
1/4 (n + 1)th term
John worked 43 hours last week; his hourly rate is $9. He has the following deductions taken from his pay: Social Security tax of $25, Medicare tax of $6, health insurance premiums of $15, and savings account contribution of $50. What is John’s net pay?
7. The answer is letter A or letter D
Find the next two terms in the sequence.
40, 10, –20, –50, . . .
A.
60, 80
B.
–80, –110
C.
–70, –100
D.
–70, –90
Answer:
B.
–80, –110
Step-by-step explanation:
-80 and -110
It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30
-50-30=-80
-80-30 =-110
-80
First Identify the sequence being made here.
10-40 = -30
-20-10 = -30
-50-(-20) = -30
Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.
-50-30 = -80
The next term is -80.
Hope I helped!
HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!
Answer:
x≈5.3 feet
Step-by-step explanation:
[tex]\frac{4}{15} =\frac{x}{20}[/tex]
[tex]15x=80[/tex]
x≈5.3 feet
Answer:
5.3m tall
Step-by-step explanation:
15/4 = 3.75
20/3.75= 5.3333333
ASAPPPPPPPP DUE IN 3 MIN
Answer:
72
Step-by-step explanation:
Answer:
h = 6
Step-by-step explanation:
Area of a trapezoid formula:
[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]
Given:
A = 48
a = 4
b = 12
Work:
[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]
Do NOT guess just answer the question correctly
Jason paid $239 to join the country club on January 1, 2020. there is a monthly fee of $50. It costs an additional $5 every time he reserves a tennis court and $5 for a bucket of tennis balls. Last year he played tennis 30 times and only brought 1 bucket of balls each time. how much did he spend in 2020?
can you please help? no links please. I have to pass this
Answer:
Step-by-step explanation:
10 times 10 times 60 = 6000
6000 - (1600 + 2000) = 2,400
Answer:
7200 [tex]in^3[/tex]
Step-by-step explanation:
volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)
[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]
What’s the answer to this?!
Answer:
19.1
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
4^2+7^2=c^2
16+49=c^2
C^2=65
c=hypotenuse =root 65
Perimeter =7+4+root65=19.1ft
Given that f(x) = 2x – 1, find f(6).
Your answer:
6
7
11
13
Answer:
11
Step-by-step explanation:
2 times 6 is 12 minus 1 is 11
Input interpretation:
2 x - 1 where x = 6
Result:
11
1,536÷24 GETS BRAINLIEST
Answer:
64
Step-by-step explanation:
Yep
50 POINTS TO ANSWER CORRECTLY AND MARKED BRAINLY
What is the IQR (interquartile range)?
Minimum value = 5
Q1=7.5
Median = 13
Q3=17
Maximum value = 23
Enter your answer in the box.
Answer:
IQR (interquartile range) = 9.5Step-by-step explanation:
Q¹ = 7.5
Q³ = 17
IQR = Q³ - Q¹
IQR = 17 - 7.5
IQR = 9.5
the area is ___ square units
Answer:
392 square units
Step-by-step explanation:
We can make 2 right trapezoids out of this shape.
The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.
If we do 1 half it would be 1/2×(14+14)×14 = 196
Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.
A ribbon is 1.28 meters long. A rope is 2.34 meters longer than the ribbon. How long
was the rope?
Answer:
4.02m
Step-by-step explanation:
carry 1 1
1 . 2 8
+ 2 . 7 4
4 . 0 2
just add the two given numbers
Answer:
3.62 meters
Step-by-step explanation:
Hope this helps!
What is the approximate volume of this sphere?
Don't forget to use the formula: V=43πr3
A 392.5 cm3
B 523.3¯ cm3
C 3,140 cm3
D 4,186.6¯ cm3
Answer: The correct answer is B. 523.3...cm^3
Step-by-step explanation:
4/3*pi*r^3 is the formula
first, divide the diameter by 2 to get the radius, now, you will begin solving.
4/3*5^3*3.14
5*5*5=125
4/3*125*3.14
125*3.14=392.5
4/3*392.5
523.3...
(WILL GIVE BRAINLIEST) What is the y-intercept of the line shown?
4
1
-4
-1
215% of what number is 43
Answer:
20
Step-by-step explanation:
215% of 20 is 43
Answer:
20
Step-by-step explanation:
2.15x = 43
43 divided by 2.15 is 20! :)