The length of a rectangle is 13 centimeters less than five times its width. Its area is 28 square centimeters. Find the dimensions of the rectangle.

Answer:

gradient = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

8y + 4x = 5 ( subtract 4x from both sides )

8y = - 4x + 5 ( divide the terms by 8 )

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form

with gradient = - [tex]\frac{1}{2}[/tex]

Given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

2 is the gradient of a line that is perpendicular to 8y+4x=5​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane

The slope of line can also be called ad gradient of a line.

The standard form of line or slope intercept form of a line is given by

y=mx+c

where m is the slope of line and c is the y intercept.

The given equation of line is  8y+4x=5​

We need to convert the equation of line to Slope intercept form

8y=5-4x

Divide both sides by 8

y=5/8-4/8x

y=-1/2x+5/8

So m is -1/2.

Two lines are said to be perpendicular if m₁m₂ =-1

if m₁=-1/2

then we need to calculate m₂

-1/2m₂=-1

m₂=2

Hence gradient of a line that is perpendicular to 8y+4x=5​ is 2.

To learn more on slope of line click:

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Answer:

43.4

Step-by-step explanation:

Answer:

r=1.37

Step-by-step explanation:

so first we have to change 32/2 to a decimal

to do that you have to divide 32÷3=10.66...7

the formula to find the radius when given the volume is r=([tex]\frac {v}{4*pi}[/tex])^1/3

r=([tex]\frac {10.6666666667}{4*pi}[/tex])^1/3

r= 1.37

then to check your work-

v=4/3π1.37^3

v=10.77

technically 10.77 and 10.6666666667 aren't equal but that's as close as it'll get

good luck :)

i hope this helps

have a nice day !!

Answer:

Here we know that:

Volume capacity = 150 GB

Free space = 60GB

Here we know that 150 GB represents the 100%, then which percentage represents the 60 GB of free space?

Well, we can write:

60 GB = X

150 GB = 100%

Now we can take the quotient between these two equations:

(60GB/150GB) = X/(100%)

Now we can solve this for X

(60GB/150GB)*(100%) = X = 0.4*100% = 40%

Answer:

there are right :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

because 1 is one hour and the first line across is 5 so it it is not 6 miles so it has to be 9 miles she rode

Answer:

dvd cost $12 each

book cost $1 each

Step-by-step explanation:

3d + 4b = 40

d + 6b = 18

substitution method:

d = 18-6b

3(18-6b) + 4b = 40

54 - 18b + 4b = 40

-14b = -14

b = $1

d + 6 = 18

d = $12

Answer:

Area = 48 square units

Step-by-step explanation:

You're welcome :)

16.62 is the answer ......

Answer:

0.5

Step-by-step explanation:

If there are twenty white marbles in a bag of 40, then the chances of drawing a white marble is 20/40, or 0.5:  one chance in two of drawing white.

Answer:

80 in³

Step-by-step explanation:

The volume of a pyramid is :

1/3 * base * height

Height = 10

The base is : the area of the triangle :

Area of triangle = 1/2 * base * height

Base = 6 inches ; height of triangle = 8 inches

Area of triangle = 1/2 * 6 * 8 = 24 inches

Base of pyramid = Area of triangle

Therefore ;

Volume of pyramid = 1/3 * 24 * 10

Volume of pyramid = 8 * 10

Cubic inches of space to fill = 80 in³

Answer: tell me if i am wrong

yx = k, where k is a real constant.

When y = 30, x = 3.

=> k = (30)(3) = 90.

Hence when y = 6, x = k/y = (90)/(6) = 15.

Step-by-step explanation:

Answer:

10.55

Step-by-step explanation:

Answer:

is it maryann or natalie lol

Step-by-step explanation:

Answer:

i). 2    ii). 2

Step-by-step explanation:

i). 4p = 18 - 5(2)

4p = 18 - 10

4p = 8

p = 2

ii). 4(2) = 18 - 5q

8 = 18 - 5q

-10 = - 5q

q = 2

Answer:

56

Step-by-step explanation:

x+x+8=104

2x=96

x=48

48+8=56

Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

Answer:

[tex] l(\widehat {KM}) = 15.07 \: units[/tex]

Step-by-step explanation:

[tex] Central\: angle \:(\theta) = 96\degree [/tex]

Radius (r) = 9 units

[tex]l(\widehat {KM}) = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ l(\widehat {KM}) = \frac{96 \degree}{360 \degree} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{96 }{360} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{5,425.92}{360}\\ \\ l(\widehat {KM}) = 15.072\\ \\ l(\widehat {KM}) = 15.07 \: units[/tex]

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

Answer:

Radius is 4.2

Diameter is 8.4

Step-by-step explanation:

diameterd=2r

d=2×4.2

d=8.4

Plz mark as brainllest

Answer:

The answer for radius is 4.2 cm. The answer for diameter is 8.4 cm.

Step-by-step explanation:

If the line cuts halfway through the middle it is a radius, as you can see there. It says 4.2 cm, so that's your radius. If the line is straight through the circle and not cut in half then it is a diameter. The radius is half of the diameter. So if you add 4.2 or multiply 4.2x2 then you get 8.4 which is your diameter.

Answer:

therefore the value of k for which the given quadratic equation will have quale and real root

Step-by-step explanation:

k=52 and k=52

Answer:

i believe it's A bc 8 cm is too long to reach 4 cm

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

C (-1/2, -4 1/2)

Step-by-step explanation:

x = -2/(2·2)

x = -2/4 or -1/2

y = 2(-1/2)² + 2(-1/2) - 4

y = 2(1/4) - 1 - 4

y =  1/2 - 1 - 4 or -1/2 - 4 which equals -4 1/2

Answer:

[tex]3p + 1 = 28 \\ 3p = 28 - 1 \\ 3p = 27 \\ p = \frac{27}{3} \\ p = 9[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

Area of Parallelogram = B (base) x H (height)

The height = 35 in.

The base = 38 in.

Area = 35 in. x 38 in.

Area = 1330 in.^2   (1330 inches squared)

Answer: 1330

Step-by-step explanation:

Area = Base · Height

Base = 38

Height = 35

38 · 35 = 1330

Therefore

Area = 1330

Answer:

(a) 153.93804

(b) 615.75216

Step-by-step explanation:

(a) A=πr2

14 divided by 2 =7

=π*7 squared =153.93804

(b) A=πr2

28 divided by 2= 14

=π*14 squared=615.75216

Answer:

(2u+8)(2u+10) inches^2=4u^2+36u+80 inches^2

Step-by-step explanation:

I don't know what the options are. But I'll try to help you anyway. Is that variable for the width of the frame... u? We'll just use u.

So the area of a rectangle is found using length* width. To find the combined area of the mat and the photo, we need the combined length and the combined width.

combined length=u+8+u

(Think of it from the top to the bottom: the top strip has a length of u inches, 8 is given, and the bottom strip is also u inches long.) You can simplify it to get 2u+8 inches.

combined width=u+10+u=2u+10 inches

To find the area, you need to multiply these dimensions.

(2u+8)(2u+10) inches^2

I think this would be your answer for Part B, because it's factored.

I think for Part A, you need to multiply it all out.

=2u(2u+10) + 8(2u+10)

=4u^2+20u + 16u+80

=4u^2+36u+80 inches^2

Hope I could help you!

Answer:

3.9

Step-by-step explanation:

m+5=8.9

m=8.9-5

m=3.9