Answer:
It’s (-9,-4)
Step-by-step explanation:
Edge
The focus of the graph of the function is located at (−9,−4).
Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.
What is vertex form?The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Right
Vertex: (−10, -4)
Focus: (-9, -4)
Axis of Symmetry: y=−4
Directrix: x=−11
Therefore, the focus of the graph of the function is located at (−9,−4).
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3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.
Answer:
12.08
Step-by-step explanation:
the easiest way to answer this is to set it up in this equation:
15.1/100 = x/80
in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08
15.1% of 80 is equal to 12.08.
What is Percentage?A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.
The abbreviations like 'pct' or 'pc' are also used to denote percentage.
Percentage is a dimensionless quantity as they have no dimensions.
Here we have to find the percentage 15.1% of 80.
The percentage of any number can be computed by dividing the number with whole and then multiply with 100.
To compute the percentage value to the original number, we use the reverse process.
15.1% of 80 = 15.1% × 80
= (15.1/100) × 80
= 0.151 × 80
= 12.08
Hence we got the value of 15.1% of 80 as equal to 12.08.
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11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2
Answer:
20 ÷ 10 = 2
or
20 ÷ 2 = 10
Step-by-step explanation:
multiplication is the opposite of division
IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step
Need help Pronto! Will give braintliest.
Answer:
the answer is 45 I believe because it is the same exact as j
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
-8+12 divided by 2 + (-14)
Answer:
-16
Step-by-step explanation:
Answer:
the answer is negitive 12 or -12
Hi if i have 8,000 saving for 12,000 how much more do i need?
Answer: 4,000
Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)
What is the perimeter of the triangle?
unit
Answer:
36 unitsStep-by-step explanation:
perimeter of the given triangle = 16 + slant (10) + slant (10)
= 36 units
(see image below)
59 = 10n − 11
What is n?
Step-by-step explanation:
n = 7
hope it helps!
......
−8/9 ⋅ 5/6
What is the product in simplest form?
Fractions btw
I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet
Answer:
2.5 feet
Step-by-step explanation:
20/8=2.5
What is the original price of the box of cereal?
Answer:
$3.20
Step-by-step explanation:
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
Need help ASAP!!!The measures of angles of a triangle are shown in the figure below.Solve for x
Answer:
54
Step-by-step explanation:
90 + 36 = 126
180-126= 54
Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .
Answer:
COEFFICENT
Step-by-step explanation:
you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10
What is an equation of the line that passes through the point (6,3) and is parallel to
the line x + 3y = 24?
Answer:
x + 3 y = 15
Step-by-step explanation:
line is paralle that means that coefficient next to x mand y must be the same
so the equation of the line will be
x + 3y = a
we have to find a, we know that line passes throgh (6,3) so
6 + 3 * 3 = a
a = 15
the line has an equation
x + 3 y = 15
State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality
Answer:
Substitution property of equality
Step-by-step explanation:
Given
[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]
Then
[tex]4(2y + 1) + 9 = 15[/tex]
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If [tex]a = b[/tex] then [tex]b = a[/tex]
In other words, both can replace one another.
So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]
So:
[tex]4x + 9 = 15[/tex] becomes
[tex]4(2y + 1) + 9 = 15[/tex]
Hence, it is substitution property of equality
Help! It's geometry. :) 35 points.
Answer:
g = 21
h = 8
Step-by-step explanation:
3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)
Simplify to get g = 21.
Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)
Answer:g=21 h = 8
Step-by-step explanation:
That's a rhombus supposedly so the opposite angles are congruent.
This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180
9g=,189 g = 21
now plug this into the first equation
9h-4=3(21)+5
9h-4=63+5
9h=72
h=8
Guys plz solve this equation and help me
Answer:5a^2 + 6ab + 2b^2
Step-by-step explanation:
Answer:
i don't know if this helps
Simplify by using the o
3–8(4-9)=
Answer:
-51
Step-by-step explanation:
3-24+72=0
75-24=0
51=0
A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____.
Answer:
[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]
Step-by-step explanation:
Given that:
The population mean μ = 12
By computing the null and alternative hypotheses, the correct set of hypotheses for this test is:
[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]
This is a two-tailed test.
Explain how could use 8 + 8 to find the sum
Answer:
its 16
Step-by-step explanation:
Translate the following sentence into an equation.
Fifteen minus the product of three and a number will equal six.
Answer:
r u stu ped
Step-by-step explanation:
stu ped
If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4
HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture
Answer:
-5+2
Step-by-step explanation:
Answer:
I would say 6 cm too, also can anyone help me on my math? its powers and exponents
help with this homework question pleaseeee
Answer:
b
Step-by-step explanation:
then it would be sss
WILL GIVE BRAINLIEST
Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?
Answer:
You will have $1314.27
Step-by-step explanation:
A=1200(1+2.3/100)^4
A=1200(1.0952)
A=$1314.27
Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?
Answer:
Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.
Step-by-step explanation:
In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made. Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation 6c - 2.4. Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8. We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8. Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2
This graph shows the distance that a robot walks. What is the robot's speed?
Waliking Time and Distance
2 3 4 5
Time (minutes)
OA 10 feet per minute
OB. 5feet per minute
Oc. 30 feet per minute
OD. 20 feet per minute
The speed of the robot from the graph is m = 10 feet per minute
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let y represent the distance of the robot
Let x represent the time taken
Let the first point be P ( 1 , 10 )
Let the second point be Q ( 2 , 20 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
The slope of the line will give the speed of the robot
Substituting the values in the equation , we get
Slope m = ( 20 - 10 ) / ( 2 - 1 )
m = 10 feet per minute
Hence , the speed is 10 feet/min
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The complete question is attached below :
This graph shows the distance that a robot walks. What is the robot's speed?
Walking Time and Distance
2 3 4 5
Time (minutes)
A) 10 feet per minute
B) 5feet per minute
C) 30 feet per minute
D) 20 feet per minute