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emmasim [6.3K]
3 years ago
7

What is the area of a rectangle with vertices with (2,3), (7,3), (7,10), and (2,10)

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
5 0

Answer:

35 square units

Step-by-step explanation:

multiply the base by the hight

Juli2301 [7.4K]3 years ago
3 0

Answer:

35 square units

Step-by-step explanation:

rectangle with vertices  (2,3), (7,3), (7,10), and (2,10)

Area of a rectangle = length times width

Apply distance formula to find the distance between the sides

D= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

points (2,3) and  (7,3)

D= \sqrt{(7-2)^2+(3-3)^2}=5

points (7,3) and (7,10)

D= \sqrt{(7-7)^2+(10-3)^2}=7

Area of the rectangle = length times width = 5 times 7 = 35

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Plz help me with this
Marrrta [24]

Answer:  c) 3

<u>Step-by-step explanation:</u>

Plug in y = -9 and the given x-value to see if it makes a true statement.

a) -4.5 falls in the piecewise function x < -3  --> y = -x

y = -x

-9 = -(-4.5)

-9 = 4.5    FALSE

b) -3 falls in the piecewise function -3 ≤ x ≤ -2  --> y = 2x

y = 2x

-9 = 2(-3)

-9 = -6    FALSE

c) 3 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(-3)²

-9 = -9   TRUE

d) 9 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(9)²

-9 = -81   FALSE

4 0
4 years ago
A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
What is 6 4/5 + 7 4/5
MrMuchimi

Answer:

14 3/5

Step-by-step explanation:

The way is simple add 4/5 and 4/5 together to get 1 4/5 then add 6 +7=13 then add 13 + 1 4/5 to get 14 3/5

mark me brainliest plz would make my day

7 0
3 years ago
Read 2 more answers
Rewrite using the distributive property: 24 + 16
viva [34]

Answer:8(3+2)

Step-by-step explanation: Find gcf which is 8 then think what 24 divide 8 equal and think what 16 divide 8 equals.

6 0
3 years ago
How is adding positive and negative fractions similar to adding intergers ?
Paha777 [63]

Answer:

When you are adding or subtracting a negative fraction, you usually want to consider the numerator as negative. The method is just the same, except now you may need to add negative or positive numerators. Example 1: ... To add the fractions with unlike denominators, rename the fractions with a common denominator.

Step-by-step explanation:

<em>I GOT YOU!!!!</em>

6 0
3 years ago
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