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Otrada [13]
3 years ago
12

Three vertices of a rectangle are shown on the grid. I NEED HELP PLEASE

Mathematics
2 answers:
hram777 [196]3 years ago
8 0

Answer:

(6,7)

Step-by-step explanation:

The great thing about rectangles is that they are super simple.  For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left.  This maintains the parallel lines that define a rectangle.  So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)

777dan777 [17]3 years ago
3 0

( 6 , 7 )

............

............

............

............

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If a=bc-d, find d given that a=-16, b=3, c=5
Andrews [41]

Answer:

<h2>d = 31</h2>

Step-by-step explanation:

a = bc - d

Substitute a = -16, b = 3 and c = 5:

-16 = (3)(5) - d

-16 = 15 - d              <em>subtract 15 from both sides</em>

-16 - 15 = 15 - 15 - d

-31 = -d             <em>change the signs</em>

31 = d

6 0
4 years ago
Find the measures of x and y.<br> 2.<br> 145°<br> 55°
DaniilM [7]

Answer:

x = 35° , y = 90°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

145° is an exterior angle of the triangle , then

y + 55° = 145° ( subtract 55° from both sides )

y = 90°

the sum of the 3 angles in a triangle = 180° , then

x + y + 55° = 180°

x + 90° + 55° = 180°

x + 145° = 180° ( subtract 145° from both sides )

x = 35°

3 0
2 years ago
One number is 2 more than another. the difference between their squares is 60 what are the numbers
weeeeeb [17]
Expand (x+2)^2: x^2 + 4x + 4 : remember that (a+b)^2 = a^2 + 2ab + b^2
So: x^2 + 4x + 4 - x^2 = 60
3 0
3 years ago
A rancher has a 3-sided plot of land that will be used for grazing sheep. Each side length is a multiple of 100. One side is 300
telo118 [61]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d
Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

8 0
3 years ago
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