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____ [38]
2 years ago
10

Caroline drew the blueprints of her new kitchen on a coordinate plane. The coordinates of the four corners of her square kitchen

are (2, 4), (-10, 4), (-10, -8), and (2, -8). How many units long is one wall of her kitchen? If needed, create a graph to help answer the question.
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
8 0

Answer:

the wall of her kitchen is 12 units long

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At the beginning of spring McKenzie planted a small sunflower in her backyard when it first planted the sunflower was 10 inches
katrin [286]

Answer: 15 inches tall

6 0
2 years ago
A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
serg [7]

Answer:

(B)\dfrac{dA}{dt}=8-0.004A

Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

Initial Amount of Salt in the tank, A(0)= 30 pounds

Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}

Therefore:

The rate of change of amount of salt in the tank,

\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A

5 0
3 years ago
For which equations is x = 9 a possible solution? Check all that apply.
ahrayia [7]

Answer: choice 1 and 6

Step-by-step explanation:

just plug in 9 for every X making sure they equal each other.

3 0
2 years ago
Is x-3 a factor of the polynomial p(x)=2x4-9x3+15x2-22x+12 and for waht reason
andre [41]
Yes, (x - 3) is a factor of the given polynomial.

If (x - 3) was a factor of the polynomial, then 3 would be one of the zeros of the function. That means if you input 3 into the function, you will get an output of zero.

In this case, inputting 3 does produce 0. Therefore, it is a factor.
3 0
2 years ago
Read 2 more answers
4⋅f(6)−6⋅g(5) need help asap
Leto [7]

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

4 0
2 years ago
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