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tatuchka [14]
3 years ago
8

Can someone pls pls help me?

Mathematics
2 answers:
Kaylis [27]3 years ago
5 0

Answer:

3mm²

Step-by-step explanation:

Use the triangle area formula 1/2×base×height

\frac{1}{2}  \times 2 \times 3 \\  = 3

Zinaida [17]3 years ago
4 0
The answer is 3mm^2 I believe
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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .
Alla [95]

Answer:

Point B is (10 , -4)

Point D is (10/9 , 1)

Step-by-step explanation:

* Lets revise the rule of the point which divides of a line segment in

 a ratio

- If point (x , y) divides the line segment AB, where A is (x1 , y1) and

 B is (x2 , y2) in the ratio m1 : m2

∴ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ y = [m2(y1) + m1(y2)]/(m1 + m2)

* Now lets solve the problem

- Point C (3.6 , -0.4) divides AB in the ratio 3 : 2, where A is (-6 , 5)

# x = 3.6 , y = -0.4

# A is (x1 , y1) , B is (x2 , y2)

∴ x1 = -6 , y1 = 5

∵ m1 : m2 = 3 : 2

- Substitute these values in the rule

∵ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ 3.6 = [2(-6) + 3(x2)]/(3 + 2)

∴ 3.6  = [-12 + 3x2]/5 ⇒ multiply both sides by 5

∴ 18 = -12 + 3x2 ⇒ add 12 to both sides

∴ 30 = 3x2 ⇒ divide both sides by 3

∴ 10 = x2

* The x-coordinate of B is 10

∵ y = [m2(y1) + m1(y2)]/(m1 + m2)

∴ -0.4 = [2(5) + 3(y2)]/(3 + 2)

∴ -0.4 = [10 + 3y]/5 ⇒ multiply both sides by 5

∴ -2 = 10 + 3y2 ⇒ subtract 10 from both sides

∴ -12 = 3x2 ⇒ divide both sides by 3

∴ -4 = y2

* The y-coordinate of B is -4

∴ Point B is (10 , -4)

- Point D divides AB in the ratio 4 : 5 where A (-6 , 5) and B (10 , -4)

- To find the coordinates of point D use the same rule above

# D is (x , y)

# A is (x1 , y1) and B is (x2 , y2)

# m1 : m2 is 4 : 5

∵ x1 = -6 and y1 = 5

∵ x2 = 10 and y2 = -4

∵ m1 = 4 and m2 = 5

- Substitute these values in the rule

∵ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ x = [5(-6) + 4(10)]/(4 + 5) ⇒ multiply the numbers

∴ x = [-30 + 40]/9 ⇒ add

∴ x = [10]/9 ⇒ Divide

∴ x = 10/9

* The x-coordinate of D is 10/9

∵ y = [m2(y1) + m1(y2)]/(m1 + m2)

∴ y = [5(5) + 4(-4)]/(5 + 4) ⇒ multiply the numbers

∴ y = [25 + -16]/9 ⇒ add

∴ y = [9]/9 ⇒ Divide

∴ y = 1

* The y-coordinate of point D is 1

∴ Point D is (10/9 , 1)

3 0
3 years ago
Create a equation using this graph?
Setler79 [48]
The formula for a straight line is y=mx+b, where m is the slope and b is the y-intercept.

To find out the slope, we use a formula known as rise/run.

Rise means how high a point goes between any two points and run is how far the space is between any two points.

We can see that there are two points give to us. Now we ask our self how high do we have to go to reach the second points’ height. If we count it we go five UP. Meaning that the rise is positive 5.
Now we see how far the two points are. If we count it, we go 1 space the LEFT meaning -1 since going left on a graph means x is getting smaller.

Now that we have he two values, we put them into rise/run

5/-1=-5

So our value of m is -5
Meaning y=-5x+b

We still have our value of b to find and we can do this by choosing any one point on the graph and substituting it into the equation. We know that one of our points is (3,0)

We put these into the equation

y=-5x+b
0=-15+b
b=15

Therefore, y=-5x+15
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3 years ago
Click on the parts that are smaller
Vesnalui [34]

Answer:

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Step-by-step explanation:

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guajiro [1.7K]

Answer:

$5400

Step-by-step explanation:

Gross income is any interest, wage etc(money received) given to someone which they account for before any deductions and tax. Fran will have to include all $5400 of her first quarterly payment into her gross income because there are no deductions yet and tax when you consider what is put in gross income. Fran would have earned this amount as a payment from the purchasing of the annuity as it serves as a payment back for purchasing an annuity which to Fran, is an investment.

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3 years ago
Hannah's hair was 18 inches long .Three years later it was 33 inches long. What was the percent increase,to the nearest hundredt
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3 years ago
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