Answer:
Step-by-step explanation:
The maximum area of the figure is 4.5 square units.
Given,
Write an equation for area A of the figure.
Then determine the maximum possible area of the figure.
What is the area of a right-angled triangle?It is given by:
Area = 1/2 x base x height
When we maximize an area we must differentiate the area.
If A is the area.
A' = 0
We have,
From the figure:
Base = 6 - b
Height = b
Now,
Area = 1/2 x base x height
Area = 1/2 x ( 6 - b ) x b
A = (6b - b²) / 2
A = 3b - b²/2
When we maximize an area we must differentiate the area and thus,
A' = 0
So,
A' = 3 - 2b/2
0 = 3 - b
b = 3
Now,
A = 3b - b²/2
A = 3 x 3 - 3²/2
A = 9 - 9/2
A = (18 - 9) / 2
A = 9/2
A = 4.5 square units.
Thus the maximum area of the figure is 4.5 square units.
Learn more about finding the maximum area of a rectangle here:
https://brainly.com/question/14989725
#SPJ2
For questions 4a–4d, choose Yes or No to tell if the number 7.15 will make each equation true.
4a) 4.95 +7.15= 12.1 ○ Yes○ No
4b) 10.82 - □=3.77 ○ Yes○ No
4c) 8.47 + □ =15.52 ○ Yes○ No
4d) 9.14 - □= 1.99 ○ Yes○ No
"Write the equation in point-slope form that goes through the point (-8,-6) and has a slope m=-5/6"
Answer:
Step-by-step explanation:
y
+
8
x
+
2
=
5
6
Explanation:
Given a point
(
a
,
b
)
and a slope of
m
the slope-point form may be written as:
XXX
y
−
b
x
−
a
=
m
or (equivalently)
XXX
y
−
b
=
m
(
x
−
a
)
Substituting
(
−
2
,
−
8
)
for
(
a
,
b
)
and
5
6
for
m
we get
XXX
y
+
8
x
+
2
=
5
6
or
XXX
y
+
8
=
5
6
(
x
+
2
)
What does the word sustainable mean
unreasonable
was on display
unfounded
from an ongoing or reusable source
Answer:
D.
Step-by-step explanation:
sustainable means from an ongoing or reusable source
How could we simplify 3 2/5 + ( -7 1/5 ) = 3 + ( -7) + 2/5 + (- 1/5)
Answer:
6.5
Step-by-step explanation:
What is the answer to -123 / -12
10.25 Ok but I dunno how to explain sorry but is right (Probably)
Hope U have a great day!
Answer:
10.25
Step-by-step explanation:
-123 divided by -12 is 10.25
25-3n work out the first three terms of the sequence
Answer:
25 - 3n workout the value of the first negative term of the sequence? The letter n corresponds with the number of the term, so the first term would be 25 - 3 (1). The second would be 25 - 3 (2) and so on. To find the number term you could plug in each number until you found your answer, so plug in 3, then 4, then 5 etc.
Step-by-step explanation:
CAN I GET BRAINLIEST
Answer:
25 - 3n workout the value of the first negative term of the sequence? The letter n corresponds with the number of the term, so the first term would be 25 - 3 (1). The second would be 25 - 3 (2) and so on. To find the number term you could plug in each number until you found your answer, so plug in 3, then 4, then 5 etc.
Step-by-step explanation:
Not sure on this one either
Answer:
B. 113
Step-by-step explanation:
Since ∠AGF is 67° the that would mean that ∠GFE is also 67°, and since it is a Trapezoid, all the angles should add up to 360°. So we have both of the 67's so that means we have 67+67, and the other two angle need to be the same, but to find those we need to do 67+67 = 134, and 360-134=226, and half of 226 will be 113, which is the angle for both of the missing angles, and is the missing angle u are looking for
(6×10²)(8×10³) Por favor una respuesta , lo necesito para hoy
Answer:(4x2)(10^3x10^2)8x10^5Listo ahi está
Step-by-step explanation:
HELP!!
What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
look at the photo........................
Answer:
[tex]y=2x+2[/tex]
Step-by-step explanation:
First, find the slope of the line using the points (2,6) and (-4,-6). Then, plug them into the point-slope equation.
[tex]m=\frac{6-(-6)}{2-(-4)}=\frac{12}{6}=2\\\\y-y_0=m(x-x_0)\\y-6=2(x-2)\\y=\frac{3x}{2}-4+6=2x+2[/tex]
EMERGENCY PLS
Working out/answer pls
1.) 16 divide 4 - 2 =
2.) (22 divide 2) x (15 divide 3) =
Answer: Number 1= 2
Number 2= 55
Step-by-step explanation:
1. 16 divided by 4 is 4, 4-2=2
2. 22 divided by 2 is 11, 15 divided by 3 is 5, 11x5=55
Answer: Q1.=2
Q2.=55
Step-by-step explanation:
I need help on this
Answer:
B
Step-by-step explanation:
180 - y + z = x {Exterior angle property}
z = x - 180 + y
z = x + y - 180
A shipping company will ship a package for $7.50 when the volume is
no more than 15,000 cm. Grace needs to ship a package that is 3x - 5 cm long,
2x cm wide, and x + 20 cm tall.
Answer:
please see attch file.
Step-by-step explanation:
Given that a=2, b=-3 and C=4, Calculate the value of
[tex] \frac{a {}^{2 } - bc}{b + c} [/tex]
Answer:
16
Step-by-step explanation:
[tex]\frac{(2)^2-(-3)(4)}{(-3)+4}[/tex]
[tex]\frac{4-(-3)(4)}{(-3)+4}[/tex]
[tex]\frac{4-(-12)}{(-3)+4}\\\\\frac{4+12}{(-3)+4}\\\\\frac{16}{(-3)+4}\\\\\frac{16}{4-3}\\\\\frac{16}{1}\\\\16[/tex]
Determine whether the two triangles are congruent or not
Answer:
heyy
Step-by-step explanation:
heyy...
30 miles per hour over a period of 10seconds
for each pair of similar triangles find the ratio of two side lengths. How do the ratios compare
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.Step-by-step explanation: ratios
At Health Hair, the cost of a children's haircut, x, is $4 and the cost of an adult haircut, y, is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation and solve the system and interpret the answer.
Answer:
x + y = 42
4x + 14y = 568
x = 2, y = 40
Step-by-step explanation:
x + y = 42
4x + 14y = 568
to solve, you can let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:
4(42-y) + 14y = 568
168 - 4y + 14y = 568
168 + 10y = 568
10y = 400
y = 40
therefore, x = 2
check:
4(2) + 14(40) should equal 568
8 + 560 = 568
Find the perimeter of ABCD
Answer:
157
Step-by-step explanation:
We can see that both of the figures are congruent! Judging from their angles. Since they are congruent, they have equal sides. We can assume that both have the same sides of each other. So all we have to do is add up all the sides.
What is the answers for the missing ratio boxes?
How many kgs does a 150 lbs. person weigh? 1 lbs. = 0.45 kgs
Answer:
About 68.03
Step-by-step explanation:
I need help with surface area
There is a line that includes the point (0, 4) and has a slope of 9. What is its equation in
slope-intercept form?
Answer:
y = 9x + 4
Step-by-step explanation:
The slope-intercept equation is
y = mx + b
M = slope
B = y-intercept.
From the point, we know the line intercepts y at 4. So the y-intercept is 4.
Now the slope is 9.
Now insert the numbers:
y = 9x + 4
what is the value of T?
H is the midpoint of the parallelogram. So, FH = HD.
FH = HD
2t - 37 = 3t - 78
2t - 3t = -78 + 37
-t = -41
=》 t = 41
_____
RainbowSalt2222 ☔
Need help with these two questions. Whoever helps I want to say god bless u and thank you for your time to help me.
Step-by-step explanation:
m∠VWT = m∠TUW + m∠VUW
m∠VWT = 7x - 7 + 3x + 7
m∠VWT = (7 + 3)x + (-7 + 7)
m∠VWT = 10x°
MK = MX + XK
MK = 7x - 1 + 5x + 1
MK = (7 + 5)x - 1 + 1
MK = 12x
The sides of a rectangle are 4t-1 and 5t+9. Write an expression for the perimeter of the rectangle.
Answer:
18t-16
Step-by-step explanation:
Perimeter of rectangle
= 2(4t-1)+2(5t+9)
= 8t-2+10t+18
= 18t-16
Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible !!!
Answer:
No
Step-by-step explanation:
fail the vertical line test. For x=1, we have 2 correesponding Ys. This is not a function.
Hi there!
The graph is a relation.
It doesn't pass the Vertical Line Test. This test is just a vertical line.
If it touches the graph once, then the graph is a function.
If it touches the graph more than once, then the graph is a relation.
Here, the vertical line touches the graph more than once, so the graph is a relation.
Type: no
Therefore, our answer is: noHope this helps!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature :)[/tex]
The multiplication table below can be used to find equivalent ratios.
The population of a town changed by -16.2% over 3 years. What was the average change per year?
Fill in the blank.
years as Chair of the Statistics Department before becoming Associate Dean. She received an M.S. in. Mathematics and a Ph.D. in Applied Statistics from.
Step-by-step explanation:
Answer:
-5.4 is the average change per year
The circumference of The bike is 72 inches. What is the diameter of the tire? 
Answer:
circumfrence is Diameter*π
so we cna reverse this
diameter= c/π
In this case the Circumfrnce is 72
72/π is 22.91 if used π
if used 3.14 its 22.92
Melinda ran 8,791 meters on Monday and 2,899 meters on Tuesday. How many more meters did she run on Monday than on Tuesday?
Answer:
8,791- 2,899= 5892
Step-by-step explanation:
Melinda ran 5,892 more meters on monday than tuesday