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3 years ago

Figure MNOP is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure M′N′O′P′:

Mathematics

2 answers:

Inessa [10]3 years ago

5 0

Length of MN = Length of M′N′ is the correct answer. Hope it helps :))

madam [21]3 years ago

5 0

The correct answer would be:
Length of MN = Length of M′N′
Because nothing changes the length of the sides when you rotate it.

Hope this helps

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1. Given line segment RB and on it is point C, if RB = 45 and CB = 3x - 12 and RC = 2x + 9, what is the value of x?

marshall27 [118]

Answer:

Step-by-step explanation:

1). If a point C is lying on a line segment RB,

Then RB = RC + CB

Since, RB = 45, CB = 3x - 12 and RC = 2x + 9

45 = (2x + 9) + (3x - 12)

45 = (2x + 3x) - 3

48 = 5x

x = $\frac{48}{5}$

x = 9.6

2). Since, RC = 2x + 9

RC = 2(9.6) + 9

= 19.2 + 9

= 28.2 units

3). Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between the points A(2, -2) and D(-2, 2) will be,

$AD=\sqrt{(2+2)^2+(-2-2)^2}$

= $\sqrt{16+16}$

= $4\sqrt{2}$

= 5.657

≈ 5.66 units

7 0

2 years ago

How does the tape diagram look like

Ket [755]

That’s how it looks

7 0

3 years ago

Give your answer to four decimal places

Maslowich

Answer:

The characteristic of a logarithm is the number to the left of the decimal.

(The characteristic is like an exponent).

We are working with base 3 logs.

So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.

Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.

1.8928 +2 = 3.8928

Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.

Step-by-step explanation:

4 0

3 years ago

Umm whats y2 when y is -9 and whats z2 when z is 0.7 im not that smart so ill be asking alot

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

y = - 9

y^2 = (-9)^2 = 81

AND

z = 0.7

z^2 = (0.7)^2 = 0.49

Hope it helped

6 0

3 years ago

Let f(x)=2x+3 and g(x)=x×x-1 find a. f(g(x)) b.g(f(x))

Talja [164]

Answer:

See explanations below

Step-by-step explanation:

Given the functions f(x)=2x+3 and g(x)=x^2-1

a. Find f(g(x))

f(g(x)) = f(x^2-1)

f(g(x)) = 2(x^2-1)+3

f(g(x))= 2x^2-2+3

f(g(x)) = 2x^2+1

Hence the composite function f(g(x)) is 2x^2+1

b) g(f(x)) = g(2x+3)

g(f(x) = (2x+3)^2-1

g(f(x)) = 4x^2+12x+9-1

g(f(x)) = 4x^2+12x+8

5 0

2 years ago