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2 years ago

A = 1/2 (18 + 6) * 8

Mathematics

1 answer:

CaHeK987 [17]2 years ago

8 0

Answer:

a+ 96

Step-by-step explanation:

A= (1/2*18 + 1/2*6) *8

A= (9 + 3) * 8

A= 12 * 8

A= 96

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

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

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

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

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

This point is on the graph

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

This point is not on the graph

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

This point is not on the graph

$(\frac{4}{8},\frac{2}{8})$

$x = \frac{4}{8}$ and $y = \frac{2}{8}$

Substitute $\frac{4}{8}$  for x and  $\frac{2}{8}$ for y in $y = \frac{1}{2}x$

$\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$

$\frac{2}{8} = \frac{1 * 4}{8 * 2}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{1}{4} = \frac{1}{4}$

This point is on the graph

3 0

3 years ago

The figure shown in the right is made up of a square and a circle. Find the perimeter of the shaded region.

Tasya [4]

Answer:

B. 12 + 2pi cm

Step-by-step explanation:

The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.

The circle's circumference can be found by using the equation c = (d)pi

The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.

Add them all together, and you get 12 + 2pi cm.

6 0

3 years ago

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A school assembly had 70 students in attendance, and 90% of them were first-graders. How many first-graders were at the assembly

natulia [17]

Answer:

Step-by-step explanation:

Because, 100% of 70 would be 7. Now we have that number lets multiply it by 9 because of 90%. 9 x 7 = 63 first-graders

4 0

1 year ago

Simplify -62 ÷ 12 - 2(-7). -17 35 -35 11

galina1969 [7]

The answer is 53/6 in fraction form

3 0

2 years ago

What is 279 ÷34 estimated

Anestetic [448]

279/34 = 8.20588235294

But if you would like to round it up it would be 8.2 or 8.21 depending on what you'd like to round it up to.

Let me know if this is what you mean. If not, I will fix it! :)

3 0

2 years ago

Read 2 more answers