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2 years ago

Simplify the following expression: (−3)(−2)( −2) A −12 B 12 C −18 D 18

Mathematics

2 answers:

nydimaria [60]2 years ago

7 0

A -12 Hope this helps

IgorLugansk [536]2 years ago

5 0

I would say it’s A because (-3) times (-2) is 6 times (-2) is -12

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Q.2

Katen [24]

Answer:

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

$2a=16$

$a=8$

The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

$m=5n$

$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is $-7x+3y=23$ .

The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is $3x+2y=12$ .

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

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3 years ago

The bases of a prism are always

Akimi4 [234]

Answer:

D. rectangles

Step-by-step explanation:

Perpendicular is when they cross but the base isn't perpendicular

Parallel is when two lines never touch, but in the base of a prism there are lines that touch

Intersecting is when two or more lines meet and cross over each other

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2 years ago

Which of the following is an example of quantitative data? A the player’s number on a baseball uniform B the serial number on a

Taya2010 [7]

Answer:

The number of people in a waiting line is a quantitative data as we can count them.

Step-by-step explanation:

Consider the provided information.

The value of quantitative data can be determined by counting or measuring something.

Now consider the provided options.

The player’s number on a baseball uniform, the serial number on a one-dollar bill and the part number of an inventory item is not a quantitative data because we can't measure them.

The number of people in a waiting line is a quantitative data as we can count them.

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3 years ago

This two-way frequency table shows the results of a survey of users of the mass-transit system in a city. People were asked thei

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Answer:

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2 years ago

Find the area of a floor which is covered by 1050 tiles.each tiles measuring 20 square meters

RoseWind [281]

Answer:

area of floor is

1050*20=21000

Step-by-step explanation:

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