Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area
Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept
label (1,2) as A(1,2)
the slope AP = slope AQ
-2/(x-1) = (2-y)/1
2x - xy - 2 + y = -2
y(1-x) = -2x
y = -2x/(1-x) or 2x/(x-1)
H^2 = x^2 + y^2
= x^2 + ( (2x/(x-1) )^2 --- simplify if needed
(don't know why we are finding the hypotenuse ? )
Area of triangle OPQ
= (1/2)base x height
= (1/2)xy
= (1/2)x(2x/(x-1))
= (1/2) (2x^2/(x-1) )
dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2
= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2
= 0 for a max of A
2x^2 - 4x = 0
x(2x-4) = 0
x=0 ---- > makes no sense, look at diagram
or
x = 2
then y = 2(2)/(2-1) = 4
the triangle has (2,) and (0, 4) as its vertices for a maximum area
Answer:
Heyyyy
Step-by-step explanation:
The area of the region between the lines y = x + 6, x = 1 and y = 0 is:
A 49 units?
B. 49/2 units squared
C.42 units squared
D. 21 units squared
E.cannot be determined
9514 1404 393
Answer:
B. 49/2 units squared
Step-by-step explanation:
The area is that of a triangle 7 units wide and 7 units high. Its area is given by the formula ...
A = 1/2bh
A = (1/2)(7 units)(7 units) = 49/2 units squared
HELP!
Find the distance between each pair of points. Round your answer to the nearest 10th if necessary.
Answer:
The answer is 3.
Step-by-step planation:
All you have to do is find the 2 points and it looks like this:
(-2,-3) , (0,3)
3- -3 /0- -2 = 6/2 = 3
Find the percent of the number. 38% of 22 is
38% of 22 is 8.36
sjkbgdfbskxdbnc(answer too short)
Answer:
8.36
Step-by-step explanation:
22=%100
22x38=836
836/100=8.36
I NEED HELP PLSSS 4x3 + 3x² – 9x +7
4x3 + 3x² – 9x +7
(multiply)
= 12+[tex]3x^{2}[/tex]-9x+7
(calculate)
=19+[tex]3x^{2}[/tex]-9x
(reorder the terms)
= 19+[tex]3x^{2}[/tex]-9x
(Use commutative property to reorder)
= [tex]3x^{2}[/tex]-9x+19
Answer: [tex]3x^{2}[/tex]-9x+19
what is the domain of the function y=√x+4?
-oo<x<oo
-4<x<oo
0<x<oo
4<x<oo
Answer:
4
Step-by-step explanation:
The domain of the function; y=√x+4 as given in the task content is; 0<x<oo.
What is the domain of the function?From the function; y=√x+4 given in the task content; it follows that the domain of the function is the set of all possible values of x.
On this note, the possible values of x from √x includes all positive numbers as any negative value of x renders the a complex number.
Read more on domain of a function;
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HELP PLEASE I NEED THIS HOMEWORK DONE BY TONIGHT!!
Answer:
x = 50°
Step-by-step explanation:
the sum of the exterior angles of any polygon is 360°
2x-12 + 32 + 2x + x + 90 = 360
5x + 110 = 360
5x = 250
x = 50
Jeremiah invested
$
800
$800 in an account that pays 3% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Jeremiah would have in the account 14 years after his initial investment. Round to the nearest tenth (if necessary).
Answer: 1210.1
Step-by-step explanation:
[tex]81 \frac{1}{2} \times 121 \frac{1}{2} [/tex]
Which equation represents a nonlinear function?
Help please!!!
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
Question :
The expression (22
+ 9) can be factored using the difference of squares rule.
True
False
write the equation of the line in fully simplified slope-intercept form??
Answer:
y=-2/3x+3
Step-by-step explanation:
(m)slope :rise over run
(b)y-intercept :where the line crosses the y axis
slope intercept for y=mx+b
Find the area of the
trapezoid (explain ur answer)
Answer:
49
Step-by-step explanation:
8*7=56
7*6=42
56+42=98
98/2=49
Calculate the side lengths a and b to two decimal places.
Answer:
Below in bold.
Step-by-step explanation:
m < C = 180 - 43 - 115 = 22 degrees.
Using the Sine Rule:
6 / sin 22 = a / sin 43
a sin 22 = 6 sin 43
a = 6 sin 43 / sin 22
a = 10.92 to 2 DP's.
Applying the same rule to calculate b:
6 / sin 22 = b / sin 115
b = 6 sin 115 / sin 22
b = 14.52 to 2 DP's.
PLEASE HELP ME Find the total area
Answer:
39 cm squared
Step-by-step explanation:
A=1/2 Bh
1/2(6)3
1/2(18)
9
A=bh
5(6)
30
Rondel's parents borrow $5000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?
$600.00
$500.00
$480.00
$540.00
Answer:
600
Step-by-step explanation:
6 percent of 5000 is 300. 300x2=600.
Sorry if im wrong
A store pays$66 for a model solar system and marks the price up by 20%. What is the amount of the mark-up?
The measures of three sides of a triangle are 7 inches, 9 inches and 2 inches. Determine whether the triangle is a right triangle.
Function or not a function?
Answer:
Not a function
Step-by-step explanation:
To answer this, we first need to know what a function actually is: A function is a relation between 2 sets which relates the element of the first set to only one element of the second set.
We can see in the provided image that the value -9 is related to 2 values of the second set, hence it is NOT a set.
Another way to think about it is that a function takes an input and gives only one output (where the left set is the input and the right set is the output). Since -9 gives 2 outputs from the given relation, it cannot be a function.
Makayla invested $99,000 in an account paying an interest rate of 2 % compounded
continuously. Mia invested $99,000 in an account paying an interest rate of 2%
compounded quarterly. To the nearest hundredth of a year, how much longer would
it take for Makayla's money to double than for Mia's money to double?
1.) What is the equation given a slope of ½ and a y-intercept of 4?
2.) What is the slope of an equation y=2x-5
3.) What is the y-intercept of an equation y=7x+8?
Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain the connection between the cutout and the volume of the box.
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
What does slope represent
Step-by-step explanation:
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.
Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?
A.
f
(
x
)
=
23,000
(
0.15
)
x
B.
f
(
x
)
=
23,000
(
15
)
x
C.
f
(
x
)
=
23,000
(
0.85
)
x
D.
f
(
x
)
=
23,000
(
1.15
)
x
Answer:
A
Step-by-step explanation:
15% = 15/100 = 0.15
so basically, A is the answer
write 75m:125cm in its simplest form
Answer: should be 3/5
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
75 ÷ 25
125 ÷ 25 if im wrong sorry
The ratio of 75m : 125cm in its simplest form is 60 : 1.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Two similar quantities.
We know 75m = 75×100 = 7500 cm.
Therefore, The ratio between them is,
7500 : 125.
1500 : 25.
300 : 5.
60 : 1.
learn more about proportion here :
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Find the equation of the line.
Use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
what is the greatest common factor of 120 and 72 plus explaination?
Answer:
24
Step-by-step explanation:
24x3=72
24x5=120
Help please will mark
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
triangle on the side is 1/2bh = 24 and there are 2 of those triangles
24+24
the top rectangle 10x20 = 200
24+24+200
the bottom rectangle 20x8 = 160
24+24+200+160
the back rectangle 6x20 = 120
24+24+200+160+120
If a sales person receives a commission of 12% of sales what is the sales person commission on a $250,000 sale
Answer:
$30,000
Step-by-step explanation:
250000 * 0.12 = 30000
4^5 is equal to 1,024. Evaluate the following expression: 4^6
Answer:
4^6 = 4096
Step-by-step explanation:
Find the approximate perimeter of AABC plotted
below.
A(2,7)
C(6,7)
B(-4,-3)
Answer:
29.8 units
Step-by-step explanation:
Answer:
29.8
Step-by-step explanation: