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lana66690 [7]
3 years ago
11

The perimeter of rectangle Z is equal to its area. Rectangle Y has the same perimeter as rectangle Z. The length of rectangle Y

is 5 inches and the width is 3 inches. Explain how you can find length and width of rectangle Z.
Mathematics
1 answer:
yuradex [85]3 years ago
6 0
The length and width of rectangle Z would be 4 inches as the width and 4 inches as the length. This is because first, you combine and find the total perimeter of Rectangle Y. The perimeter of rectangle y would be P=length + length + width + width, which is 16 inches. Rectangle Z has the same perimeter total as rectangle Y and rectangle Zs area is the same as rectangle Y. 4x4 is equal to 16 while to find the perimeter, 4+4+4+4 is also 16.
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Read 2 more answers
What value, written as a decimal, should Lena use as the common ratio?
inn [45]

Answer:

an=1*2.5^(n-1)

=2.5^(n-1)

Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

Point (1, 1), (2, 2.5), (3, 6.25).

a=1

ar=2.5

ar^2=6.25

From ar and ar^2

r=6.25/2.5

=2.5

r=2.5

an=ar^(n-1)

Therefore, the explicit formula is

an=1*2.5^(n-1)

=2.5^(n-1)

7 0
3 years ago
write the slope intercept form of the equation of each line given the slope and y intercept. // slope= 1/3 y-intercept= 4 // slo
professor190 [17]

Answer:

Slope: 1/3; Y-iintercept: 4     y=1/3x+4

Slope: -2;  Y-intercept: 4      y=-2x

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

6 0
3 years ago
Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa
choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

y=x^{2}-2x-3

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

(x - h)^{2}=4p(y - k)

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

y=x^{2}-2x-3

y+3=x^{2}-2x

y+3+1=x^{2}-2x+1

y+4=x^{2}-2x+1

y+4=(x-1)^{2}

so

(x-1)^{2}=(y+4) ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0
3 years ago
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