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KengaRu [80]
2 years ago
5

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.

Mathematics
1 answer:
Bess [88]2 years ago
7 0
A. <span>(–3, 2) are the coordinates for the fourth vertex</span>

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A company has two office buildings that hold 30,000 employees. Their headquarters contains 14 times as many employees as their o
VikaD [51]

Answer:

Their headquarters contains <u>420000</u> employees.

Step-by-step explanation:

The company has two office buildings which hold 30,000 employees.

The headquarters contains 14 times as many employees as the overseas branch.

Therefore, the number of employees in the headquarters is:

14 * 30000 = 420000 employees

Their headquarters contains 420000 employees.

7 0
2 years ago
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Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a
katovenus [111]

Answer:

Step-by-step explanation:

the statement  0 < t < 52.5  represents all the time values for when Riko is behind Yuto,   she catches up to Yuto at 52.5 minutes into her ride.   Her ride starts at time of zero , so she can't have a negative time,  like -4  because she isn't involved in the activity of riding her bike.  

8 0
2 years ago
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What is 6 divided by 612
kondaur [170]
612/6=102
check: 6x102=612

Hope this helped! :))
8 0
2 years ago
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Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of
Nikitich [7]

Answer:

The answer is given below

Step-by-step explanation:

Given that:

f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}

The function is an exponential function.

The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:

Domain: x = (-∞, ∞)

The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:

Range: y = (0, ∞)

8 0
2 years ago
Read 2 more answers
Given: PRST square
Zigmanuir [339]

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

4 0
2 years ago
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