9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.
A = (1/2)(d1)(d2)
A = (1/2)(6 cm)(8 cm) = 24 cm²
The area of the kite is 24 square centimeters.
If
f(x) = x^2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = ?
Answer;
f (x) = 2x-4g (x) =x^2
Step-by-step explanation:
The solution is 9x² + 12x - 1
The composition function f ( g ( x ) ) is 9x² + 12x - 1
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
The value of f ( x ) = x² + 2x - 4
Let the second function be represented g ( x )
The value of g ( x ) = 3x + 1
Now , the composition function f ( g ( x ) ) is calculated by
Substitute the value of x as 3x + 1 , in f ( x ) , we get
f ( g ( x ) ) = f ( 3x + 1 )
f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4
On simplifying the equation , we get
f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4
f ( 3x + 1 ) = 9x² + 12x - 1
Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1
Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1
To learn more about composition of functions click :
https://brainly.com/question/17673639
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Please help me please with math!
Answer: Slope = -32
Explanation:
The given equation is in y = mx+b form
m = -32 is the slope
b = -9/38 is the y intercept
Answer:
slope: -32
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Slope: − 32
y-intercept: ( 0 , − 9/ 38 )
Can someone help w/ this math problem plzz
Answer:
its C
Step-by-step explanation:
Help please.................
Answer:
make a whole retangle then do the length times the width on both then add together
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
Multiply 11 by 3 which is 33
Multiply 2 by 3 which is 6
add 33 and 6 which is 39
Hope this helps
Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?
Answer:
dyvhbCNN mfg beneficialgVCR specializations acknowledgement
PLEASE HELPPPPP PLEASREER
Answer:
its a :)
Step-by-step explanation:
hmu if you need an explanation or more help :)
Find the area of the semicircle. 10
Exact Area = 25pi square units
Approximate Area = 78.5 square units
The approximate value is found using pi = 3.14
====================================================
Explanation:
I think you meant to say "quarter circle" instead of "semicircle".
The area of a full circle with radius r = 10 is
A = pi*r^2
A = pi*10^2
A = pi*100
A = 100pi
But we only want one quarter of this. So we divide the full area by 4
(100pi)/4 = (100/4)pi = 25pi
The exact area in terms of pi is 25pi square units
If we used the approximation pi = 3.14, then we can say 25*pi = 25*3.14 = 78.5 is the approximate area
To get a better approximation, use more decimal digits in pi.
-10p - (1 - 2p)
(Distributive property[Expand] And combine like terms
Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB
Answer:
graph shown below
Step-by-step explanation:
ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.
On a graph, this would look like:
The peak at transfer camera is 10 8.7 he travels 7.5 metre in car and took a break how much more he has to travel to reach the top of the mountain
The question is not well formatted
Let's assume that the peak value Given is 108.7m
However, If that is not the actual value, then you can just follow the steps with the actual value to obtain your answer.
Answer:
101.2 meters
Step-by-step explanation:
Taking the peak Given as 108.7 m
The distance traveled by car = 7. 5 meters
The distance left to reach the top of the mountain :
108.7 meters - 7.5 meters
= 101.2 meters
BRAINLIEST to wherever gets this correct
Answer:
[tex]300\pi[/tex] cubic feet
Step-by-step explanation:
Let r be the radius of cone and h be the height of cone.
Radius of cylinder=r
Height of cylinder=h
Volume of cone=[tex]100\pi ft^3[/tex]
We have to find the volume of cylinder.
We know that
Volume of cone=[tex]\frac{1}{3}\pi r^2 h[/tex]
[tex]100\pi=\frac{1}{3}\pi r^2 h[/tex]
[tex]r^2 h=300[/tex]
Volume of cylinder=[tex]\pi r^2 h[/tex]
Using the formula
Volume of cylinder=[tex]\pi (300)=300\pi ft^3[/tex]
Hence, the volume of cylinder=[tex]300\pi[/tex] cubic feet
Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15
Answer:
C = 38.18°; A = 40.57°
Step-by-step explanation:
B = 101' 15"
B = 101° + (15/60) = 101 + 0.25 = 101.25°
b =17.23cm,c=10.86cm
From Sine rule :
c/ sin C = b / Sin B
10.86 / sin C = 17.23 / sin 101.25
SinC = (sin 101.25 * 10.86) / 17.23
Sin C = 10.651328 / 17.23
Sin C = 0.6181850
C = Sin^-1(0.6181850)
C = 38.183716
C = 38.18°
Sum of angles in a triangle = 180°
A + B + C = 180°
A + 101.25° + 38.18° = 180°
A = (180 - (101.25 + 38.18))
A = 40.57°
To get from home to his friend Clayton's house, Eric would have to walk 4 miles due north. To get from home to his friend Dale's house, Eric would have to walk 3 miles due east. What is the straight-line distance between Clayton's house and Dale's house?
PLEASE ANSWER!
Answer: 5 miles
Step-by-step explanation:
It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)
-(2g - 4)
I don’t what the answer is
Answer:
−2+4
Step-by-step explanation:
Answer:
-2g+4
Step-by-step explanation:
you have to distriute the negitive
-2g+4
so that is your answer
i hope this helps :)
its a screen shot do do do doooo
Depends on what pi is.
It could be
50.24 yards (pi is rounded)
OR
16π yards
Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.
A. 123 ÷ 4
B. 1.23 ÷ 0.4
C. 1,230 ÷ 40
D. 123 ÷ 0.04
Answer:
The answer is A and C
Step-by-step explanation:
The answer is A because 12.3 multiplied by 10 is 123, and 0.4 multiplied by 10 is 4.
12.3 * 10 = 123
0.4 * 10 = 4
So, this shows that this equation is the same as 12.3 divided by 0.4
The answer is C because 12.3 multiplied by 100 is equal to 1230, this is the same for 0.4
12.3 * 100 = 1230
0.4 * 100 = 40
So, the answer is both A and C.
Hope this helps! :)
Answer:
12.3 divided by 0.4 is 30.75
Step-by-step explanation:
You then go to letter A and 123/4 is also 30.75
but you go through the rest of the choices just in case.
B is 3.075 so that is incorrect
C is 307.5 so that is also incorrect
D is 3075 and that is incorrect and not 30.75.
Therefore your answer is A.
30.75 = 30.75.
Hope this helps :)
Find the length of y
Answer:
25 cm
Step-by-step explanation:
que es una expresión algebraica
Answer:
En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).
Step-by-step explanation:
A car travels 45 miles on one gallon of gas.The car uses 10 gallons of gas.How many miles does it travel
Answer:
69
Step-by-step explanation:
A car travels 45 miles on one gallon of gas.The car uses 10 gallons of gas.How many miles does it travel
Answer:
it travels 450 miles on 10 gallons of gas.
Step-by-step explanation: Can I get the brainliest answer if it's correct.
1. 2x + 7 = 2x - 7
2. 3x + 8 = -2x + 8
3. 4(x + 1) = 4x + 4
Answer:
Consider left and right sides of the equations as linear functions.
Then:
1. The equation 1 has lines with the same slope (2) but different y-intercepts (7 and -7), therefore the lines are parallel and no solution.2. The lines have different slopes (3 and 2), therefore they intersect and there is one solution.3. After opening the parenthesis we get both sides same, meaning the lines are same and overlap. The equation has infinitely many solutions.Jan wants a bunch of balloons for her birthday party. There were 10 red, 12 blue, 13 green and 15 yellow balloons. What percentage is the blue balloons ?
Answer:
Should be 24%
Step-by-step explanation:
12/50= .24
I need help ASAP THIS IT TIMED!!
Answer:
yeah its probably done well
Step-by-step explanation:
Which equation would you use to solve this problem: Laura bought 4 1/3 bushels of apples for $16. How much did each bushel cost? *
Answer: $3.69
Step-by-step explanation:
Laura bought 4 1/3 bushels of apples.
Firs convert this to an improper fraction for easier calculation:
= 13/3 bushels of apples.
If cost $16 altogether, individually they must cost:
= Cost / Quantity purchased
= 16 ÷ 13/3
= 16 * 3/13
= $3.69
Note: You can divide by a fraction by multiplying the inverse of that fraction.
please help me guys!
its blur
how can we read it if your picture is blur
how do I solve this
Answer:
113
Step-by-step explanation:
DQ= 180-112= 68
and sum of ang in quad add to 360 so
lets call what we have to find x
so x+ 68+56+123= 360
x+247=360
x= 113
Simple question: What is the difference between 32% vs 15%?
Answer:
Look below :)
Step-by-step explanation:
Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!
URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP!!!!! PLZZZ
The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13
The two lines can be anything as long as they give this solution
For example, if you wrote x + y = 16 (you know their values already)
Then write another y - x = 10
From here you have your equations, turn them into the f(x) form.
x + y = 16 can be turned into y = 16 - x which is f(x)=16-x
y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x
70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.
Answer:
a. 3g + g = 53
b. 40 boys and 13 girls
Step-by-step Explanation:
(3g = number of boys)
(g = number of girls)
3g + g =53
4g = 53
g = 13.2
53 - 13.2 = 39.8 (boys)
we round to the nearest tenth on both
girls 13.2---13
boys 39.8---40
A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$626.75
Step-by-step explanation:
First, we must find how much tax will be added to the TV's price:
Step 1: Convert the percentage to a decimal:
To convert a percentage to a decimal, divide it by 100
8.25/100 = 0.0825
Step 2: Multiply the TV's price by that decimal:
578.98 * 0.0825 = 47.76585
So $47.76585 will be added to the price
Now, we can calculate the total price:
Step 3: Add the tax we jsut calculated to the TV's price to find total price:
578.98 + 47.76585
= 626.74585
Step 4: Round to the nearest cent (2 decimal places)
626.75
So the total price is $626.75