I jus need the focus and directrix please.
Answer:
the vertex is (3,-2), the focus is (3,-7/4), and the directrix is y=-9/4
Step-by-step explanation:
in order to find the vertex, you convert the equation into vertex form so
y=(x-3)^2-2
With this, we can find the vertex which is at (3,-2)
In order to find the focus and diretrix, we need to find the value of p
We do this by creating the equation:
x^2=4py
in this case, (x-3)^2=4p(y+2) so 4p must equal 1 so p is 1/4
In order to find the focus, we add the value of p to the y coordinate of the vertex so the focus is (3,-2+1/4) which is (3,-7/4)
In order to find the directrix, we subtract the value of p to the y coordinate of the vertex so the directrix passes through the point (3,-2-1/4) which is (3,-9/4)
When we graph this parabola, we can tell that the directrix will be in the form of y = a and since this line passes through (3,-9/4) the directrix is y=-9/4
I hope you understand this explanation.
it takes 3 tractors 2 hours to plow a square field whose side is 600 meters. find the number of hours it would take 5 tractors to plow a square field whose side is 1000 meters.
PLEASE ANSWER FAST. 200 POINTS
Answer:
5 tractors can plow a square field of side length 1,000 meters in 3.33 hours (3 hours 20 minutes)
Step-by-step explanation:
Let's find out how much each tractor can plow each hour.
[tex]\frac{600^{2} }{3*2}=60,000m^{2}[/tex] per tractor per hour
[tex]1,000^{2}=1,000,000m^{2}[/tex] is the area of the field of side length 1,000 meters
5 tractors can plow [tex]300,000m^{2}[/tex] per hour.
[tex]\frac{1,000,000}{300,000}=3.33[/tex] hours
Describe fully the single transformation that takes shape P to the shape Q
Answer:
Enlargement by a scale factor of 3 centre (1,0)
Step-by-step explanation:
Answer:
Dilation by a scale factor of 3 about (1,0)
Enlargement by a scale factor of 3 centre (1,0)
Step-by-step explanation:
u have to put both to get the full marks
hope this helped :)
Write the equation of the line y=(5)/(6)x+(7)/(6) perpendicular to
that passes through the point (-8,7)
Answer:
6x + 5y + 13 = 0.
Step-by-step explanation:
y = 5/6x + 7/6
Gradient = 5/6
Since the line is perpendicular to y = 5/6x + 7/6
then its gradient is -6/5.
Hence its equation is: point (-8,7).
y - 7 = -6/5(x -(-8))
multiplying through by 5 we get;
5y - 35 = -6(x + 8)
5y - 35 = -6x - 48
6x + 5y + 13 = 0
A shoebox holds a number of disks of the same size. There are 5 red, 6 white, and 7 blue disks. You pick out a disk, record its color, and return it to the box. If you repeat this process 250 times, how many times can you expect to pick either a red or white disk?
Answer:
99
Step-by-step explanation:
easy
Tiara earns $33 washing 3 cars. At this rate, how much does Tiara earn washing 9 cars?
Answer:
$99
Step-by-step explanation:
Answer:
$99 (Verified Answer) ✅Step-by-step explanation:
The best way to solve this is to use a proportion. However, since this is a rate, we could also find the unit rate and multiply it by the number of cars Tiara is washing.
Method 1: Proportion[tex]\frac{33}{3} = \frac{x}{9}[/tex]
3x = 33 x 9
3x = 297
Now, we simply divide by 3 to get $99.
We can check this by substituting the value of x in the original proportion.
3(99) = 33 x 9
297 = 297 ✅
Method 2: Unit RateThe other way to solve this is to divide the whole expression by the number of cars to find the unit rate. In other words, how much money does she get for washing 1 car. We can then multiply this by the number of cars to get the answer.
$33/3 for 3/3 cars
$11 for 1 car
Now, we will multiply by the number of cars she washes in this question, which is 9
$11 x 9 = 99 for 1 x 9 cars
$99 for 9 cars
Again, we have the correct answer, which we have already verified by the process above. As you can see, both methods work. However, the top method is easier and since it uses algebra, is almost foolproof, so long as the algebraic processess are followed.
Hope this answer has helped, please mark it brainliest if it did :)
Hi please help me thank you love you
20
80
[tex] {4}^{x} = 8x[/tex]
Answer:
2
Step-by-step explanation:
[tex]4^{2} =16[/tex]
[tex]8*2=16[/tex]
[tex]x=2[/tex]
Lines AB and MN intersect at P.
N
A
(3x + 24)
(9x - 54)
P
B
M
What is the value of x?
Answer:
x = 13
Step-by-step explanation:
To solve for x, we set equations (9x - 54) and (3x + 24) equal to each other because the angles are equal
(9x - 54) = (3x + 24); add 54 to both sides
9x = 3x + 78; subtract 3x from both sides
6x = 78; now divide by 6
x = 13
Find the values of x and y!!(help please)
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.
Answer:
The slope is 3/4 and the y-intercept is -5.
Step-by-step explanation:
Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!
I WILL GIVE BRAINLIEST
Estimate the value of the irrational number (0.6289731...)^2. Up to how many decimal digits is the estimation correct?
(1.) 5
(2.) 4
(3.) 6
(4.) 7
Answer:
6
Step-by-step explanation:
i am 96% sure it is 6
i might be wrong tho so i would wait for another answer ._.
Answer:
Its 6 and give the other guy his brain he deserves it
Step-by-step explanation:
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
The answer is B.
BRAINLIEST FOR WHO ANSWERS
(−2x ^2 −4x+2) - (−6x+2)
The answer is not -2x+2x
Answer:
-2x^2-2x
Step-by-step e-xplanation:
−2x2−4x+2−(−6x+2)
Distribute the Negative Sign:
=−2x2−4x+2+−1(−6x+2)
=−2x2+−4x+2+−1(−6x)+(−1)(2)
=−2x2+−4x+2+6x+−2
Combine Like Terms:
=−2x2+−4x+2+6x+−2
=(−2x2)+(−4x+6x)+(2+−2)
=−2x2+2x
Please find the value of this one expression
Answer:
Solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6
The answer is 6.
Step-by-step explanation:
We need to find value of expression: [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex]
We know that [tex]\sqrt{81}=9[/tex]
Our expression will become
[tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4[/tex]
We can write [tex]\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\[/tex]
Now, replacing [tex]\sqrt[6]{8}=\sqrt{2}[/tex]
[tex]=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6[/tex]
So, solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6
Which sequences of transformations applied to shape I prove that shape I is similar to shape II?
Answer:
A. The reflection across x axis ,fallowed by a reflection across the y axis ,and then a dilation by a scale factor of 0.5
which of the following numbers in order from least to greatest?
A .20×10
B .20
c . 8.66
D . 8.66 ×10
Answer:
b.
a.
c.
d.
Step-by-step explanation:
a .20x10=2.00
b .20
c 8.66
d 86.6
Answer:
B
A
C
D
Step-by-step explanation:
This are from the lowest to greatest.
Find the equation that shows the relationship between the number of pens, p, and the
total cost, c.
5
10
15
20
Number of Pens (p)
$3.95
$7.90
$11.85
$15.80
Cost (c)
Answer: c= 0.79p
Step-by-step explanation:
Divide each cost by the number of pens it have to find the constant change value.
3.95/5 = 0.79
7.90/10= 0 .79
11.85/15 = 0.79
15.80 / 20 = 0.79
Since the constant change is 0.79 which means that for each pen it will cost you $0.79, then the equation will be c= $0.79p where c is the cost and p is the number of pens.
Place the steps in the correct order
Answer:
1. Add x on both sides.
2. Divide both sides by 4.
3. Add 20 to both sides.
4. Divide both sides by 3.
Brainliest Appreciated! Hope I helped!
if x=-7 is a root of the equation x^2+kx+49=0, then k=
Answer:
[tex]k=14[/tex]
Step-by-step explanation:
Given:
[tex]x^{2}+kx+49 = 0[/tex]
[tex]x = -7[/tex]
Substitution can be used to find the value of [tex]k[/tex]:
[tex](-7)^{2}+(-7)k+49 = 0[/tex]
[tex]49-7k+49 = 0[/tex]
[tex]98 -7k = 0[/tex]
[tex]k = 14[/tex]
Hope this helps :)
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!
Answer:
the picture is really blurry i cant see anything
Step-by-step explanation:
A department store buys 500 shirts at a cost of $13,500 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
5.5% hope this helps have a great day!
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450
Solve for X
1/5x +5=61/15+2/3x
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which could be the length of DB
Answer:
5
Step-by-step explanation:
If AD was 6, and D isn't in the middle of the triangle, then DE must be a number lower than 6.
Which the only number like this is 5.
Hope this Helps!
:D
During a sale, a dress is marked down from a selling price of $80 to $72.
What is the percent mark down?
Answer:
10%
Step-by-step explanation:
80-10%= 72
Hope this helps!
Answer:
10%
Step-by-step explanation:
$80 to $72 is a difference of $8.00. 10% of $80 is the $8.00
-5w = -80. solve for w.
Answer:
w=16
Step-by-step explanation:
-5w = - 80 Divide both sides of the equation by- 5 -5w ÷(-5)= - 80 ÷ ( - 5 ) any expression divided by itself equals 1 w = - 80 ÷ ( - 5 ) = w = 16 also you should use photomath that's what I use
Answer:
w=16
Step-by-step explanation: -80/-5=16
can you show a video or a pic of the answer 3.4 mi/h = ft/sec
Answer:
4.99 ft/sec
Step-by-step explanation:
1 mile = 5280 feet
3.4 miles = 17952 feet or (3.4 x 5280= 17952)
1 hour = 3600 seconds (60 minutes per hour x 60 seconds per minute)
17952 feet / 3600 seconds = 4.99 feet per second
A concession stand sold candy bars for $1.50 each and nachos for $4 each. At the football game last Friday, they made more than $96 by selling these two things. Write the inequality that represents this situation? Your answer
Answer:
Ihdjiefsoaekfjfbskidnkalo
Need Help ASAP!!!
Find the sine of G
Answer:
≈0.68
Step-by-step explanation:
with what u have u can get [tex]cos G^{-1}[/tex]
so it will be equal [tex]\sqrt43[/tex]/9 =43°13'49.75"
now u can get the sine
sin 43°13'49.75" ≈ 0.68