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2 years ago

what is the area of rectangle PQRS with vertices at P (0,2) Q (0,10) R (4,10) S (4,2)? A. 12 square units B. 24 C. 32 D. 40

Mathematics

2 answers:

KatRina [158]2 years ago

8 0

D is the answer mate

kupik [55]2 years ago

5 0

D.) 40 is the anwser

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

2 years ago

3. Armani has $7.00 in her purse consisting of nickels, dimes, and quarters. The total

True [87]

Answer:

700=700

Step-by-step explanation:

3 0

2 years ago

what is the base of the exponent in the function f(x)=3(3\8)^2x when the function is written using only rational numbers and is

NeX [460]

The answer:

by definition, an exponential function with base c is defined by h (x) = ac^x
where a ≠0, c > 0 , b ≠1, and x is any real number.
The base, c, is a constant and the exponent, x, is a variable.
so if we have f(x)=3(3\8)^2x, this equivalent to f(x)=3(3\8)^y(x),
where y (x)=2x, 
therefore, the base is 3/8, and the variable is the function y (x)=2x,

5 0

2 years ago

Read 2 more answers

Plz explain how to do this!!!

cestrela7 [59]

Answer:

Step-by-step explanation:

You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)

So in 1a i would simplify 7k-3k= 4k

then 4k=11

now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.

4k= 11

- = -

4 4

(4k over 4 and 11 over four)

so the answer is k = 2.75 cause 11/4 = 2.75

8 0

2 years ago

You have just arrived at summer camp. And your cabin, the counselor has each camper perform the super secret handshake with ever

PSYCHO15rus [73]

Just try to follow my description. When two persons are in the cabin, there is only 1 handshake. When a third person comes, he will have to handshake the two people who came before him. So, there will be 2 handshakes. When a fourth person comes, he would make 3 handshakes with the 3 people who came before him. When the fifth person comes, he would make 4 handshakes with the 4 people who came before him. So, you see there is a pattern. The number of handshakes is 1 less than the total number of people inside the cabin. So, if there are 14 people in the cabin, the last person to come in would have to make 13 handshakes with the 13 people who came in first. Obtaining the sum of all the handshakes starting from the 2 handshakes initially to the 13 handshakes, the sum would be

Total handshakes = 2+3+4+5+6+7+8+9+10+11+12+13
Total handshakes = 90

Therefore, there will be a total of 90 handshakes made within the cabin of 14 people.

8 0

3 years ago

what is the area of rectangle PQRS with vertices at P (0,2) Q (0,10) R (4,10) S (4,2)? A. 12 square units B. 24 C. 32 D. 40​

what is the area of rectangle PQRS with vertices at P (0,2) Q (0,10) R (4,10) S (4,2)? A. 12 square units B. 24 C. 32 D. 40