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Assoli18 [71]
3 years ago
12

Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 feet and a length of 2y feet. Simplify

your expression and find the perimeter of the garden if y=6. Draw a model and show your work.
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

i. P=4y+6

ii. P=30\:ft

Step-by-step explanation:

The given rectangular garden has width, w=3ft and length, l=2y\:ft.

The perimeter of a rectangle is calculated using the formula;

P=2l+2w

We substitute the given dimensions into the formula to get;

P=2(2y)+2(3)

\Rightarrow P=4y+6

We substitute;

y=6 to obtain;

\Rightarrow P=4(6)+6

Simplify;

\Rightarrow P=24+6

\Rightarrow P=30ft

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The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.
BaLLatris [955]

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = \frac{y_2-y_1}{x_2-x_1}

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{k-(-5)}{6-3}=\frac{k+5)}{3}

We know slope =4

 \frac{k+5)}{3}=4

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

7 0
2 years ago
Use the line of best fit to predict the percentage sales increase when the
agasfer [191]

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

so

107%

or?

we use the two points and with that we find the slope first

\frac{y2-y1}{x2-x1}

plug in (20,62) and (10,32)

\frac{32-62}{10-20}

equals

\frac{-30}{-10}

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2  = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

6 0
2 years ago
Read 2 more answers
Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour
babunello [35]

Answer:

a) d = 3.6t

b) 10.8 miles

c) 1.2 hours

Step-by-step explanation:

For part a:

Slope of a line: y = mx + b

In this case, the equation would be: d = mt,

where m represents the speed Caden is walking at.

Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.

Therefore, plugging in a speed of 3.6 miles per hour, the equation is:

d = 3.6t

For part b:

This is a simple instance of plugging in 3 hours for our t value.

Therefore, d = 3.6 (3)

d = 10.8 miles

For part c:

In this case, we are given that d = 4.32 miles.

Therefore, 4.32 = 3.6t

Dividing both sides by 3.6, we get

t = 1.2 hours

5 0
2 years ago
PLease help me quickly
Mnenie [13.5K]

Answer:

3rd option

Step-by-step explanation:

7 0
2 years ago
Multiply. Express your answer in standard form.(x^2-4x+3)(-3x^2+7x-1)
Yakvenalex [24]

Answer:

-3x^4 + 5x^3 - 33x^2 + 25x - 3

//Hope it helps and it's right.

7 0
3 years ago
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