Answer:
[tex]\displaystyle f(x)=\frac{10}{169}\left(x-8\right)^2-1[/tex]
Step-by-step explanation:
We can use the vertex form of a quadratic, which is given by:
[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex.
Since we are given that the vertex is (8, -1), h = 8 and k = -1. Substitute:
[tex]f(x)=a(x-8)^2-1[/tex]
Next, we are given that the parabola passes through the point (-5, 9). So, when x = -5, y = 9:
[tex]9=a((-5)-8)^2-1[/tex]
Solve for a:
[tex]9=a(-13)^2-1[/tex]
So:
[tex]\displaystyle a=\frac{10}{169}[/tex]
So, the equation of our parabola is:
[tex]\displaystyle f(x)=\frac{10}{169}\left(x-8\right)^2-1[/tex]
Answer:
The equation of our parabola would be:
f(x) = 10/169(x - 8)[tex]^{2}[/tex] - 1
14. What is the surface area of this figure in square centimeters?
Answer:
D
Step-by-step explanation:
Front and back (triangles
There are two triangles (right angle).
They are found by multiplying the 2 legs together.
Area = 1/2 * b * h
b = 4
h = 3
Area = 1/2 * 4 * 3
Area = 6
But there are 2 of them so the Area = 12
Left face (slanted.
The hypotenuse of the right triangle is 5
a^2 + b^2 = c^2
a = 3
b = 4
c = ?
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
sqrt(c^2) = sqrt(25)
c = 5
The front face is 5* 7 = 35
Left side
w = 3
L = 7
Area 3 * 7 = 21
Bottom
L = 7
w = 4
Area = L * W
Area = 7 * 4 28
Total 96
My brain is not working today. Please help me.
Answer:
A: All shapes have one right angle
B: All shapes have no right angles
Step-by-step explanation:
Hope this helped!
What is the volume of the prism?
___ m3
Answer:
13 x 13 x 3 = 507 m^3
Step-by-step explanation:
Just multiply your THREE given lengths.
Answer:
the calculator tells me 507 if its wrong its not my fault blame g00gle
.
There are 3 peaches for every 4 strawberries in a grocery store. How many peaches and strawberries can be in a grocery store?
a. 42 peaches and 56 strawberries
b. 36 peaches and 52 strawberries
c. 33 peaches and 40 strawberries
d. 39 peaches and 48 strawberries
Answer:
A
Step-by-step explanation:
3x14=42
4x14=56
Please please please please please please help
Histograms are used to show distributions of variables while bar charts are used to compare variables. Histograms plot quantitative data with ranges of the data grouped into bins or intervals while bar charts plot categorical data
19. A pair of designer jeans costs $194. In New York the sales tax is 4%. In Pennsylvania the sales tax is 6%.
Calculate how much you would have to pay for the jeans in New York, including tax.
Find the area of the following figure. Show your work.
Answer:
I think the answer is 46 because 9 + 23 + 7 + 7 = 46.
Step-by-step explanation:
HOPE THIS HELPS YOU!!!!!!! :) :) :) :) :)
SORRY IF IT'S WRONG. :) :) :) :) :)
PLEASE PLEASE HELP! Ill give brainliest!! will report useless answers (eg links)
Answer:
Im just gonna say that they are correct i dont wanna basically copy them xD
Step-by-step explanation:
Write 0.78 as a fraction in the simplest form.
the 78 in 0.78 has a line above it, which means they go on forever.
please help, this is sixth grade math.
Answer:
39/50
Step-by-step explanation:
I hope this is the answer I skipped 6th grade math
Answer:
78/100
Step-by-step explanation:70 and 100 are even so each can be divided by 2
Can someone help me pls!
7 and 8/9 (eight ninths)
What is the answer to these? And how do you do them? Brainliest to best answer
Answer:
I can't see
Step-by-step explanation:
do you mind zooming in
Below is an archery target and the rules for scoring. Three arrows were shot and landed on the points (-5,4), (-8,7), and (1,6). What is the total score?
Answer:
15 in your answer
Step-by-step explanation:
-5 +-8 = -13
4+7+1+6=18
-13+18=15
find the surface area of this triangular prism. be sure to include the correct unit in your answer. please helppp, thank youu!
Answer: 324
Step-by-step explanation:
They are separate questions.
A variable s increased by 2:
The sum of a and b:
c minus the sum of a and b :
z increased by 12
t minus the sum of s and 5:
The sum of 15 and d then decreased by c:
Answer: S+2,
a+b,
c-(a+b),
z+12,
t- (s+5) ,
(15+d) -c
Step-by-step explanation:
Help it’s (Graphing Lines in Slope-Intercept Form) 7th grade work
Answer:
y=mx+b
Step-by-step explanation:
to find the slope, pick two points (easiest if its an even point without decimals). the equation to find slope is m= y2-y1/x2-x1. Once you plug those in, from the two points, you should get a fraction or whole number--depends if it's simplifiable or not. Then plug that in to point slope form: y-y1= m (<the slope) (x-x1). The negatives by y1 and x1 in this equation make the number either negative or positive--if the number is negative it turns positive, and if it's positive it turns negative. Once you plug in those values, you should distribute the slope to the parentheses and combine like terms.
The area of the triangle below is 5/12 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
5/3 ft
Step-by-step explanation:
a = (1/2)bh
5/12 = (1/2)(1/2)h
5/12 = 1/4h
Multiply bith sides by 4
20/12 = h
h = 20/12
Reduce
h = 5/3 ft
Answer:
base = 5/3
Step-by-step explanation:
length= x
area triangle =
(bxh)/2
5/12 = x (1/2) divide by 2
Multiply both sides by 1/2 to isolate x
10/12 = 1/2 x
Multiply by 2
20/12 = x
5/3 = x
Which number is located to the right of -1 2/3on the horizontal number line? A. -1 1/3 B.-2 1/3 C.-2 2/3 D. -3 1/3
Step-by-step explanation:
the correct answer is A -1 1/3
Answer:
-1 1/3
Step-by-step explanation:
if you put the numbers in least to greatest order than -1 1/3 would be located on the right of -1 2/3
30. Joanne has a number of 10c coins and $1 coins in her purse, worth a total value of $6.60. She has one more than three times as many 10c coins as $1 coins.
Let n be the number of $1 coins that Joanne has. Finish the equation describing Joanne's coins:
_*1.00+(_n+_) *_=6.60
Answer:
oop
Step-by-step explanation:
If the principal is $4,500 and the rate of interest is 8% , What if the amount of interest of one year ? Formula is i = PRT
A $800
B $360
C $1800
D $720
Can someone help me with this
Answer:
For number 7 I think it is B
For number 8 it will be positive 3 (on the right) and -3 (on the left).
Step-by-step explanation:
Hope this helps :)
Have a Great Day!
If a die cast rally car drove 81 meters per second, how long did it take for it to go 90 meters. Round your answer to the nearest HUNDREDTH.
Answer:
The car took 1.11 seconds to go 90 meters.
Step-by-step explanation:
Set up an equation:
Variable x = number of seconds to travel 90 meters
81 meters/1 second = 90 meters/x seconds
Take out the variables for now to focus on calculations:
81/1 = 90/x
Cross multiply:
81 × x = 1 × 90
81x = 90
Divide both sides by 81:
x = 1.111111111... seconds
Round to nearest hundredth (hundredth is the second decimal place):
x = 1.11
Jared has $100.00 to spend on clothes at the mall. He purchases 5 shirts that cost $10.50 each, a pair of pants that cost $31.99, and a hat that costs $7.49. How much money does Jared have remaining? Please i need help
This is really hard, 5 points (its all those three questions in the screenshot)
Answer:
4. Option: 2
5. 7 inches
Step-by-step explanation:
A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If Alexander grabs the ladder at its base and pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft.) Round to the nearest tenth of a foot.
Answer:
The answer would be 10.8
Step-by-step explanation:
By finding the missing base side on the original triangle (which is 18), we add 10 to that number to find the base side on the second triangle. We can then use the equation "sin(21.04) = x/30" to find the missing length side (21.04 is the degree measurement).
Hope this helps :)
The height of the wall till the ladder reaches in when it grabs 10 feet farther will be 10.77 feet.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
The ladder is making a right-angle triangle with a wall as shown below.
By Pythagoras's theorem,
x² = 30² - 24²
x = 18
By Pythagoras's theorem,
y² = 30² - (18 + 10)²
y = 10.77 feet
Hence "The height of the wall till the ladder reaches in when it grabs 10 feet farther will be 10.77 feet".
For more about triangles,
https://brainly.com/question/2773823
#SPJ2
Pls help me! Thanks!
Answer:
2
Step-by-step explanation:
What is the surface area of the figure made from this net?
A.
1,296 square inches
B.
648 square inches
C.
468 square inches
D.
244 square inches
Solve.
2/3x = 20
Don't add spaces to your answer.
Answer:
X will be 30 simplify both sides than later insolating the variable
can someone pls help
Answer:
I think B
Step-by-step:
i dont rlly like maths
What is the mean of the data? 13, 8, 6, 11, 10, 9, 6
Answer:
9
Step-by-step explanation:
For mean you add all your numbers then divide them by the amount of numbers you have;
13+8+6+11+10+9+6=63
divide 63 by the number of integers (not the amount)
63 divided by 7 would equal 9.
True or False:There are NO lines shown in the figure, just line segments and rays.
Answer:
true?
Step-by-step explanation: