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olga_2 [115]
4 years ago
5

How write 89,170,326 in expanded and

Mathematics
2 answers:
evablogger [386]4 years ago
8 0

80,000,000+9,000,000+100,000+70,000+300+20+6

Nookie1986 [14]4 years ago
5 0
80,000,000+9,000,000+100,000+70,000+300+26
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A - 15 = 22 what the value of a
svetlana [45]

a - 15 = 22

a = 22 + 15

a = 37

The value of a is 37

7 0
3 years ago
Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to
Lera25 [3.4K]

Answer:

3y+5x=0

Step-by-step explanation:

The question is on equations of parallel lines

Finding the gradient m of line AB

m=change in y coordinates/change in x-co-ordinates

Given points A(-3,0) and B (-6,5)

m=Δy/Δx  Δy=5-0=5      Δx=-6 - -3= -3  ⇒m= - 5/3

Equation

The line will have its gradient equal to - 5/3

m=-5/3  

point is the origin (0,0)

m=Δy/Δx

y-0/x-0 = -5/3

3(y-0)=-5(x-0)

3y-0= -5x+0

3y=-5x

3y+5x=0

6 0
3 years ago
Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.
ladessa [460]

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)

\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)

On comparing both sides, we get

\dfrac{1+a}{2}=\dfrac{3}{2}

1+a=3

a=3-1

a=2

Similarly,

\dfrac{2+b}{2}=\dfrac{2}{2}

2+b=2

b=2-2

b=0

And,

\dfrac{1+c}{2}=\dfrac{-1}{2}

1+c=-1

c=-1-1

c=-2

Hence, the coordinates of vertex S are (2,0,-2).

4 0
3 years ago
The length of a rectangle is twice its width.
shtirl [24]

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 48 = 2(2x + x)

→ 2(3x) = 48

→ x = 48/6

→ [ x = 8 ]

Then the width will be,

→ W = x = 8 ft

Hence, the width is 8 ft.

Now the length will be,

→ L = 2x = 2(8) = 16 ft

Therefore, the length is 16 ft.

6 0
2 years ago
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area
harkovskaia [24]

Answer:

The area  of the cover for the hot tub must be:

  • <u>38 square feet</u>.

Step-by-step explanation:

First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:

  • <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)

Since the diameter is mentioned, it can be replaced in the formula:

  • Area of a circle = 3.14 * (3.5 feet) ^ 2
  • <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
7 0
3 years ago
Read 2 more answers
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