Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
PLEASE HELP!!!!!!!!!!
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
I need help!! Please the first drop down are (area,diameter,radius) and the second drop down are (1/3,1/2,2,3) and the last drop down are (area,diameter,radius)
Answer:
The Area of circle is 1/2 times the radius times the circumference.
Hope this helps!!!
Emilio earns $15 per hour at one job and $18 per hour at a second job. He works for 3 hours at the first job and 90 minutes at the second. What is his average hourly pay rate?
PLZZ HELP ME IM DOING A TEST RNNNN.
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
To get the right shade of paint, the paint store mixes 1 part yellow with
every 7 parts blue. If 42 parts blue are used, how many parts yellow will be
added to the paint? *
Answer:
6 parts yellow
Step-by-step explanation:
If 8 model airplanes cost $24, what is the unit price of the model airplanes? The unit price of the model airplane.
Answer:
3 dollars per airplane
Step-by-step explanation:
24/8 is 3, where 8 is airplanes and 24 is cost in total
What is the answer for x?
-7=3.5+5x
Answer:
x=-2.1
Step-by-step explanation:
Pls help me with this math problem
Answer:
12 ima shoot u
Step-by-step explanation:
Work out, giving your answer in its simplest form:
4/7 divided by 2 1/3
Answer:
12/49
Step-by-step explanation:
First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3
when doing division of fraction you have to remember this, KFG
KFG: Keep Flip Change
you keep the first number or fraction, which is 4/7
then you flip the sign, so you change division in to multiplication
after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7
Now the equation is
4/7 times 3/7, which is 12/49
20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a standard deviation of 5. About how many students scored between 90 and 95?
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?
Answer:
25
Step-by-step explanation:
because 175/7= 25
Which number is equal to 100?
Answer:
10 square2
36 + 64 = 100. In other words, 6² + 8² = 10²
Answer:
C. 10^2
Step-by-step explanation:
When you have an exponent and the base is 10, the exponent is how many zeros there are total that come after the 1. There are 2 zeros after the 1 in 100, so 10^2 is the answer.
what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?
Answer:
jbtcxey5x6ivb
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
(2√2)^2
= (2^2× √2^2)
=(4×2)
=8
What is the length of a base of a right triangle with an area of 15 meters and a height of 3 meters?
Question 1 options:
5 meters
12 meters
10 meters
Answer:
10
Step-by-step explanation:
15 = 1/2 * b * 3
15 * 2 = 3 * b
b = 30/3
b = 10 m
Please answer will give brainlyest! :D
Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!
The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!
Here we already know what 2 of the sides are! Therefore we find the sum.
((5/4)x+3)+3x-2= (17/4)x+1
Then we need to multiply this sum by 2
((17/4)x+1)*2=(17/2)*x+2
*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!
Hope this helped!!
Answer:
P = (8.5x + 2)Step-by-step explanation:
Given
l = (5/4x + 3) and w = (3x - 2)Find the perimeter
P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) = 2(17/4x + 1) = 17/2x + 2 = 8.5x + 2Club A has fee of $21 plus $23 monthly Club B has fee of $12 plus $26 monthly When will they be the same and what is it?
Answer:
hmmmmmmmm
Step-by-step explanation:
Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7
Answer:
the answer is B
Step-by-step explanation:
Answer: A. y = 5x -7
Step-by-step explanation:
Y - 5x = -7
+ 5x + 5x
Y = 5x - 7
**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.
If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?
Answer:
f(g(x))=1x^2 +-2x+1
Step-by-step explanation:
your inputs should be
1
-2
1
If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{2}[/tex]
g(x) = [tex]x -1[/tex]
f(g(x)) = [tex](x-1)^{2}[/tex]
It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]
= [tex]x^{2} -2(x)(1) +1^{2}[/tex]
= [tex]x^{2} -2x+1[/tex]
f(g(x)) = [tex]1x^{2} -2x+1[/tex]
Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
Find out more information about function here
https://brainly.com/question/14708913
#SPJ2
In the number 8246315 what digit is in the hundreds place?
Answer:
the digit 3 is in the hundredths place
Step-by-step explanation:
8,246,315
the 3
Answer:
3
Step-by-step explanation:
Could you please help me? Thank you!
Answer:
steak
Step-by-step explanation:
you can touch the steak
you can eat the steak
you can smell the steak
you can hear the steak sizzle
you watch the steak as it cooks
witch of the following statements is true
Answer:
in pretty sure its bfg is a right angle
Answer:
second one
Step-by-step explanation:
have a great day
Angle A and angle B are supplementary angles. If the measure of angle A = (3x - 12) and the measure of angle B = (4x - 25), find the measure of angle B.
Answer:
what is x so I can help you.
Please please help asap!!! I will mark brainliest!!!
Answer:
The other angle is 63 if it is asking what I think it is asking
Step-by-step explanation:
If it is right can you mark brainliest
Answer:
63 or 72
Step-by-step explanation:
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
Factorise : x³ + x - 3x² -3
Answer:
(x²+1)(x-3)
Step-by-step explanation:
Factorize x³ + x - 3x² -3
x³-3x²+x-3
Factorize
x²(x-3)+1(x-3)
= (x²+1)(x-3)
Hence the factorized form is (x²+1)(x-3)
Please help meeeee!!!!!!!!! What’s the answer????
Answer:
The answer would be y= |x-2| -1.
When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))
{y=5x-7
y=-2x+7 Solve the system by graphing.
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer: Put both equation into desmos and the crossing point will be (2,3) and the graph will be there.
Step-by-step explanation: 5x-7 = -2x+7 y = 5(2) - 7
5x = -2x + 7 + 7. y = 3
5x = -2x + 14
5x + 2x = 14
7x = 14
x = 2
Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?
Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.
Step-by-step explanation:
since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.
10 points possible. answer everything completely and I will mark brainliest
Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.
Step-by-step explanation:
10 + 2.5x > 35 please help meeee
[tex]x > 10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides.
[tex]2.5x > 35 - 10[/tex]
2) Simplify 35 - 10 to 25.
[tex]2.5x > 25[/tex]
3) Divide both sides by 2.5.
[tex]x > \frac{25}{2.5} [/tex]
4) Simplify 25/2.5 to 10.
[tex]x > 10[/tex]
Therefor the answer is, x > 10.