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marysya [2.9K]
2 years ago
6

Henry knows that the area of a rectangle is 30 square inches. The perimeter is 22 inches. If the length is 1 inch longer than th

e width, what are the length and width of Henry's rectangle? Explain how you know.
Mathematics
1 answer:
dsp732 years ago
5 0
The length is 6 inches and the width is 5 inches
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Point A is located at (-4,\ 9)(−4, 9) on the coordinate plane. Point B is located at (-4,\ -7)(−4, −7). ​What is the distance be
galben [10]

Answer:

AB = 16 units

Step-by-step explanation:

Given the coordinate (-4, 9) and (-4, -7)

Using the formula for calculating the distance between two points

AB = √(x2-x1)²+(y2-y1)²

AB =√(-7-9)²+(-4+4)²

AB = √(-16)²+0²

AB = √16²

AB = 16 units

Hence the distance between Point A and Point B is 16 units

8 0
3 years ago
Write the equation of the line that passes thriugh the points (3,-2) and (5,-9)?
Tanya [424]

Answer:

y = -7/2x + 17/2

Step-by-step explanation:

Slope = (-9 - - 2)/(5 - 3)

= -7/2

y-intercept: -2 - (-7/2)(3)

= -2 + 21/2 (-2*2+21)/2

= 17/2

4 0
2 years ago
Write a linear equation that passes through the points(2,-2) and (0,1)
Yakvenalex [24]

Answer:

Slope intercept: y = -3/2x + 1

Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]

Step-by-step explanation:

m = (change in y)/change in x)

But also

m = y_2 - y_1/x_2 - x_1


So lets substitute

m = 1 - (-2)/0 - (2)

Lets find the slope

m = 3/0 - (2)

m = 3/-2

m = -3/2 (Moved the negative)

Now we find the value of b using the equation of a line.

y = mx + b

y = (-3/2) * x + b

y = (-3/2) * (2) + b

-2 = (-3/2) * (2) + b

Now we find the value of b

Lets rewrite

-3/2 * 2 + b = -2

Cancel the CF of 2

-3 + b = -2

Move the terms without b to the right

b = -2 + 3

b = 1

Now we substitute our values of the slope and y-int into y = mx + b to find the equation.

y = -3/2x + 1

7 0
2 years ago
Read 2 more answers
A rectangle has a width of 5 yd and a length of 9 yd.
Yuri [45]

Answer:

Option The area is increased by a factor of 16

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to scale factor squared

Let

z-----> the scale factor

x------> the area of the dilated rectangle

y------> the area of the original rectangle

z^{2}=\frac{x}{y}

we have

z=4 ------> is an enlargement

so

substitute

4^{2}=\frac{x}{y}

16=\frac{x}{y}

x=16y

therefore

The area is increased by a factor of 16


8 0
2 years ago
Read 2 more answers
Last night, the two dinner specials at Henry's favorite restaurant were salmon filet and steak. The restaurant served 55 special
sergeinik [125]
Since 11 out of 55 specials were salmon filet,

The percentage of specials that were salmon filet is 11/55 = 20/100 = 20%.
7 0
2 years ago
Read 2 more answers
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