x^2 - 4x + 10
sorry if there is no explanation but i hope this helps :)
Find the area of a triangle with a base of 14 ft and a
height of 11 ft. A = bh/2)
Answer:
77
Step-by-step explanation:
Function f approximately represents the trajectory of an airplane in an air show, where x is the horizontal distance of the flight, in kilometers. What is the symmetry of the function?
Answer:
[tex](\frac{3}{2},102)[/tex]
Step-by-step explanation:
Given
[tex]f(x)=88x^2-264x+300[/tex] --- Missing from the question
Required
The symmetry
First, we express f(x) as: [tex]f(x) = a(x - h)^2 + k[/tex]
Where the symmetry is: (h, y) and x = h
Equate f(x) to 0
[tex]88x^2-264x+300 = 0[/tex]
Subtract 300 from both sides
[tex]88x^2-264x+300 - 300= 0 - 300[/tex]
[tex]88x^2 - 264x= - 300[/tex]
Factorize
[tex]88(x^2 - 3x) = -300[/tex]
On the left-hand side, the coefficient of x is -3.
Divide by 2 and add the square to both sides.
So, we have:
[tex]88(x^2 - 3x) + (\frac{3}{2})^2 = -300 + (\frac{3}{2})^2[/tex]
Multiply the new terms by 88 (to make it factorizable)
[tex]88(x^2 - 3x ) +88* (\frac{3}{2})^2 = -300 + 88 * (\frac{3}{2})^2[/tex]
Factorize
[tex]88(x^2 - 3x + (\frac{3}{2})^2) = -300 + 88 * (\frac{3}{2})^2[/tex]
The quadratic expression in the bracket is a perfect square. This gives:
[tex]88(x - \frac{3}{2})^2 = -300 + 88 * (\frac{3}{2})^2[/tex]
[tex]88(x - \frac{3}{2})^2 = -300 + 88 * \frac{9}{4}[/tex]
[tex]88(x - \frac{3}{2})^2 = -300 + 22 * 9[/tex]
[tex]88(x - \frac{3}{2})^2 = -102[/tex]
Add 102 to both sides
[tex]88(x - \frac{3}{2})^2 +102= -102 + 102[/tex]
[tex]88(x - \frac{3}{2})^2 +102= 0[/tex]
Equate to y
[tex]y = 88(x - \frac{3}{2})^2 +102[/tex]
Recall that:
The symmetry is: (h, y)
By comparison with [tex]f(x) = a(x - h)^2 + k[/tex] and x = h
[tex]h = \frac{3}{2}[/tex]
So: [tex]x = \frac{3}{2}[/tex]
Substitute [tex]x = \frac{3}{2}[/tex] in [tex]y = 88(x - \frac{3}{2})^2 +102[/tex]
[tex]y = 88(\frac{3}{2} - \frac{3}{2})^2 +102[/tex]
[tex]y = 88(0)^2 +102[/tex]
[tex]y = 0 +102[/tex]
[tex]y = 102[/tex]
So, the symmetry is: [tex](\frac{3}{2},102)[/tex]
help its for a friend
1) Which of the following is true about circles
2 radius's for a circle is equal to it's diameter
1 diameter of a circle is equal to it's circumference
pi is a ratio of the distance around a circle to the distance across a circle
Circumference is distance across a circle
Circumference for a circle is found by multiplying pi by diameter
Circumference and Area of a circle are the same thing
THERE CAN BE MORE THAN ONE PLS HELP PLS PLS I REALLY NEED HELP
Answer:
Yes
No
Yes
No
Yes
No
Algebra 1 homework
Hellpppp
Thanks
Please Help! Will Mark brainliest!
1. Write in interval notation: 2|3-4x|+5>4
2. Write in set builder notation: |2-3x|=|x-3|
Answer:
See bolded below
Step-by-step explanation:
1. First solve the inequality:
2|3-4x|+5>4 [subtract 5 from both sides]
2|3-4x| > - 1 [divide both sides by 2]
|3-4x| > - 1/2
Since all absolute values are always greater than or equal to 0, the solution would be: All Solutions. Respectively in interval notation we have (- ∞, ∞)
2. Start by solving the equation:
|2-3x|=|x-3|,
2-3x = x-3, 2-3x = -(x - 3)
x = 1.25, x = -0.5
In set builder notation: { x | x ∈ {1.25, -0.5} }
need help ASAP !!!
[tex] \sqrt{587 \times 587} [/tex]
Hello, I Am BrotherEye
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers. 587
Step-by-step explanation:
Look Above
Best of Luck
~
BrotherEye
Help! What type of model does the data suggest? Also please show the process on how you got the answer... she wants us to show work smh
Can someone tell me about proportions??? PLEASE I NEED HELP ASAP
Answer: A ratio is one thing or value compared with or related to another thing or value; it is just a statement or an expression, and can only perhaps be simplified or reduced. On the other hand, a proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved.
Step-by-step explanation: looked it upp
Brooke multiplied 3 and 9 and got 17 Brooke knows her answer is wrong because she know it should be approximately
Answer:
Kindly check explanation
Step-by-step explanation:
If Brooke multiplied 3 by 9 and obtained 17 ; then Brooke is definitely wrong
3 * 9 = exactly 27
However, for approximation sake ;
We could round 9 to 10 ; and multiply 10 by 3
10 * 3 = 30 ; this gives an approximate solution for the multiplication problem ;
3 * 9 = exactly 27 or approximately 30
The first class had a kids in it, the second had b kids in it, and
the third class had c kids in it. Kids from all three classes were
equally divided between two buses. How many kids were on
each bus? Btw its not (a+b+c)/2 i already tried that
Answer:
Try abc ÷ 2
Step-by-step explanation:
F Class = a
S Class = b
T Class = c
a + b + c = abc
Two buses = 2
abc ÷ 2
Answer:
(a+b+c) divided by 2
Step-by-step explanation:
can someone answer these pls
Answer:
x = 0
Step-by-step explanation:
hope this helps you.
Select all expressions equivalent to 7/10
O 10/7
O 7 divided by 10
O 7 X 1/10
O 10 divided by 7
O 1 3/7
Answer:
circle 2 and 3 if I am correct
Answer:
second one, and third one
hello what you doing
Answer:
hi
Step-by-step explanation:
prime factorization of 64
Six times a number minus four is two times a number more than four
Answer:
2x(6x-4)
Six times a number minus four is two times a number more than four
An item is regularly priced at $60 . Lucy bought it on sale for 60% off the regular price. How much did Lucy pay?
Answer:
$24
60% of 60 is 36 so to subtract 60% from the total $60 you would do 60-36=24
Need help ASAP will give brainliest to best answer
What did you need help with
Answer:
what's the question though?
Step-by-step explanation:
If there are 90 projects and eight get chosen to continue in the competition.What is the probability ( in percents) that your project will get chosen?
Answer:
7.2% ...................
(1 - 1/3) /2 i need helppp
Answer:
I think 0.165
Step-by-step explanation:
1/3 equals 0.33 and then divided by two .165.
This is hard and I need help
Oceanside bike rental shop charges seventeen dollars plus seven dollars an hour for renting a bike. Jason paid eighty dollars to rent a bike. How many hours did he have to pay to have the bike checked out?
Answer:This is a linear equation.
y = mx+b
y is the total cost.
The slope m is the rate: that's 9 dollars per hour.
x is the number of hours.
b is the initial value: that's 16 dollars.
y = 9x+16
The problem states that the cost was 79 dollars.
Substitute that for y and solve for x.
79 = 9x+16
63 = 9x
x = 7 hour
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
80-17=63
63/7 = 9
7 times 9 = 63
The figure shows four smaller squares in the corners of a large square. the smaller squares have sides of length 1cm, 2cm, 3cm and 4cm in anticlockwise order and the sides of the large square have length of 11cm.
What is the area of the shaded quadrilateral? (see attachment)
Answer:
B. 36 [tex]cm^{2}[/tex]
Step-by-step explanation:
The shaded quadrilateral has a shape of a trapezium.
Area of a trapezium = [tex]\frac{1}{2}[/tex](a + b)h
where: a is the side length parallel to the base, b is the base and h is the height.
The height of the figure = 11 - (4 + 1)
= 11 - 5
= 6
The height of the figure is 6 cm.
The length of its base = 11 - (1 + 2)
= 11 - 3
= 8
The length of its base is 8 cm.
The length of the side parallel to base = 11 - (4 + 3)
= 11 - 7
= 4
The parallel side length to base is 4 cm.
Area of quadrilateral = [tex]\frac{1}{2}[/tex](a + b)h
= [tex]\frac{1}{2}[/tex](4 + 8)6
= 12 x 3
= 36
Area of quadrilateral = 36 [tex]cm^{2}[/tex]
ILL MARK BRAINIEST IF YOU DO THIS!!!
Valerie is sliding down a waterslide at a vertical rate of -5 m/s after 1 second she is 25 m from the bottom of the slide. Write this situation in point slope form: m(x-x1)=(y-y1)
Answer:
15
Step-by-step explanation:
becasue the slope is very harddddd
Mrs. Carver wants to add wall–to–wall tile to the science lab. If she plots the layout of the science lab on a graph with the vertices A(–7, 8), B(3, 8), C(3, –2), and D(–7, –2), what is the area of the science lab?
Answer:
o dpB
Step-by-step explanation:
Help me out pls ASAP
Answer:
C
Step-by-step explanation:
What is the measure of angle LMN ?
Answer:
g = 9°
hence LMN = 135 + 18 = 153°
Step-by-step explanation:
straight line is 180°
180 - 18 = 162
162 = 18g
g = 9
Answer:
Step-by-step explanation:
So try to find the total angle so
15g+18+3g=180
18g=180-18
18g=162
g=9
angle LMN=15x9+18
=135+18
LMN=153 degrees
angle PMN=3x9
= 27 degrees
what is enviorement
Answer:
the surroundings or conditions in which a person, animal, or plant lives or operates
Step-by-step explanation:
they spelt it wrong
Answer:
Environment means anything that surround us. It can be living things (biotic) or non-living (abiotic) things. It includes physical, chemical and other natural forces. In the environment there are different interactions between animals, plants, soil, water, and other living and non-living things.
Simplify the expressions below.
A. 8-13-(-4)
B. 4-(-7)+(-2)
C.-7+3-20
Answer:
a -9
b 9
c -24
Step-by-step explanation:
this are the answers
Can someone please help me with math
Answer:
B
Step-by-step explanation:
they want us to find the equation in slope intercept form
which is y= mx + b
where m = slope and b = y intercept
the slope is change in y over change in x
as y goes up 1 x goes up 1 so the slope is 1 or m=1
the y intercept is at point (0,1)
so the y intercept is 1
now we add it all together and get that the equation Is
y=x+1
Find the slope of the line given the graph. Write your answer in the format m-#.
Answer:
It has a slope of 0
m-0
Step-by-step explanation: