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joja [24]
3 years ago
5

The diagram shows a sector of circle radius 10 cm find the area of the sector to one decimal place

Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

314 cm²

Step-by-step explanation:

Area of a circle is A= πr²

pi is 3.14 and radius is 10:

A= 3.14(10)²

A= 314

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A linear equation determines a line in the xy-plane.<br><br> A. True<br> B. False
Artemon [7]

Answer:

True, A linear equation determines a line in the xy-plane.

Step-by-step explanation:

A linear equation is in the form of Px + Qy = R where P , Q and R are constants.

Let us take an example 2x +3y = 6

When we plot the above equation in graph we get a line in xy plane.(as shown below) Since, there are two variables, x and y, then will it be possible, only on the xy plane.

It is also clear from the graph that linear equation shows the relation between x and y axis. Thus, it is true to say a  linear equation determines a line in the xy-plane.

4 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
2 years ago
Which point is located on the line represented by the equation y+4=-5(x-3)?
Elis [28]

The answer would be (3,-4) This is because if you replace the variables with the numbers and solve the equation it will come out 0=0

So, lets solve.

y+4=-5(x-3)

-4+4=-5(3-3)

0=-5x0

0=0

So therefore the correct answer will be (3,-4)

Hope this helped

8 0
2 years ago
Find the rate of change for the situation. A Chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken 68 people
VMariaS [17]
The answer is: for every 4 people its 1 lbs
4 0
3 years ago
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Numbers expressed using exponents are called .
N76 [4]

Answer:

numbers expressed using exponents are called powers

4 0
2 years ago
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