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givi [52]
2 years ago
12

Suppose that

Mathematics
1 answer:
harina [27]2 years ago
4 0

Step-by-step explanation:

Refer to attachment.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

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A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.
Natasha2012 [34]

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

7 0
3 years ago
(3x+36)^2<br> can anyone please answer i don’t understand how to do this
pav-90 [236]
Expand the EXPRESSION 
9x^2+216x+1296
7 0
3 years ago
The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your w
liubo4ka [24]

A. The area of a square is given as:

A = s^2

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

A = (2 x – 5)^2                  

Expanding,

A = 4 x^2 – 20 x + 25

 

B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

 

<span>C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.</span>

4 0
3 years ago
What is the slope of the linear line?<br> 4/5<br> 4/-5<br> 5/6<br> 5/-6
kolbaska11 [484]

Answer:

Slope is rise/run

Slope is -4/5

= 4/-5

6 0
3 years ago
0.327 rounded to the nearest hundredths
daser333 [38]
.33 because the 2 needs to round up hecause there is a number greater than 5 after it
8 0
3 years ago
Read 2 more answers
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