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2 years ago

Find a vector a with representation given by the directed line segment ab.a(−2, 4), b(3, 5)

1 answer:

5 0

For this case what you should know is that the vector ab will be given by:
ab = b-a
We have then:
ab = (3, 5) - (- 2, 4)
ab = ((3 - (- 2)), (5-4))
ab = (5, 1)
Equivalently the vector is:
ab = 5i + 1j
Answer:
ab = 5i + 1j

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HELP PLEASEEE

jeka94

The exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate circumference of the circle is $7.33 k m$

Explanation:

The diameter of the circle is $2 \frac{1}{3} \mathrm{km}$

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

$C=\pi d$

Where C is the circumference , $\pi$ is 3.14 and $d=2 \frac{1}{3} \mathrm$ is the diameter of the circle.

The exact circumference of the circle is given by

$\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}$

Multiply both numerator and denominator by 100, we get,

$C=\frac{2198}{300} \\C=\frac{1099}{150}$

Converting $\frac{1099}{150}$ into mixed fraction, we get,

$C=7 \frac{49}{150}$

Thus, the exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate value of the circumference can be determined by dividing the value $\frac{1099}{150}$

$C=\frac{1099}{150}=7.327$

$C=7.33km$

Thus, the approximate circumference of the circle is $7.33 k m$

3 0

2 years ago

A bag contains 28 blue and green tiles. The bag contains 2 blue tiles for every 5 green tiles. Which

Alchen [17]

Answer:

I think the answer is 8 blue tiles and 20 green

Step-by-step explanation:

To keep the porportion multiply 2 blue tiles *4

then you need to take 5 green tiles *4

You get 8 blue tiles and 20 Green tiles, and added together you get 28 tiles

5 0

2 years ago

Max lost 128 pounds in 16 weeks on his new weight-loss plan. What was his average change in weight per week?

Alex

Answer:

8 pounds per week

Step-by-step explanation:

AVG= total/time span

AVG= 128/16

AVG= 8 pounds per week

Hope this helps!

7 0

1 year ago

The figure shows triangle ABC with medians AF, BD, and CE. Segment AF is extended to H in such a way that segment GH is congruen

attashe74 [19]

Answer: Segment GD is parallel to segment HC.

Step-by-step explanation:

In ΔAHC

AG=GH (given)...........1

As BD is the median of ΔABC bisecting AC at D

∴AD=DC.........2

⇒ $\frac{AD}{DC}=\frac{AG}{GH}=1$ (from 1 and 2)

⇒segment GD is dividing the sides AH and AC in same ratio.

Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.

Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

5 0

2 years ago

Read 2 more answers

Help?,?,?,?.!.??.?.?.?.?.?.

DaniilM [7]

Answer:

Step-by-step explanation:

b(a + 1) + a = b*a + b + a = ab + b + a

1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.

2)a + (a +1)*b = a + ab+ b Equivalent

3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.

4) (a + 1)b + a = ab+ b + a Equivalent

5) a + b(a+1) = a +ab + b Equivalent

6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.

7) a(b +1) + b = ab + a + b Equivalent

5 0

2 years ago