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3 years ago

What is the actual area, in square meters, of this field?

Mathematics

1 answer:

lisov135 [29]3 years ago

4 0

Answer:

70 m^2

Step-by-step explanation:

The key shows that each square side on the grid measures 2 m. The base of the triangle measures 7 grid square sides, so it measures 14 m. The height of the triangle measures 5 grid square sides, so it measures 10 m.

area of triangle = bh/2

area = (14 m)(10 m)/2

area = 140 m^2/2

area = 70 m^2

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3. Letx = -5 and y=-*

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

I don't really understand the numbers but if both X and Y are negative, then adding the 2 will result in a negative value. Multiplying 2 negative values will be positive, as will dividing them, and sometimes subtracting will too.

6 0

3 years ago

Please help, show all work, asappp

VikaD [51]

QUESTION 1

We want to find the slope through the points (12,-18), (11,12).

We use the slope formula,

$m = \frac{y_2-y_1} {x _2-x_1}$

We substitute the points to get,

$m = \frac{12 - - 18}{11 - 12}$

$m = \frac{30}{ - 1} = - 30$

The slope is -30.

QUESTION 2.

We want to find the slope through the points (-18, -20), (-18, -15).

We use the slope formula again to obtain,

$m = \frac{ - 15 - - 20}{ - 18 - - 18}$

We simplify to get;

$m = \frac{5}{0}$

Division by zero means the slope is not defined.

QUESTION 3

The given equation is 4x + y = 5.

At x-intercept, y=0.

We put y=0 into the equation to get,

$4x + 0 = 5$

$4x = 5$

$x = \frac{5}{4}$

The x-intercept is

$( \frac{5}{4} , 0)$

To find the y-intercept,we substitute x=0 into the equation to get,

$4(0) + y = 5$

$y = 5$

The y-intercept is (0,5)

QUESTION 4.

The given equation is

$y = 5x - 4$

To find the y-intercept put x=0 into the equation.

$y = 5(0) - 4$

$y = - 4$

(0,-4)

To find the x-intercept, put y=0,

$0 = 5x - 4$

$4 = 5x$

$\frac{4}{5} = x$

$( \frac{4}{5} ,0)$

QUESTION 5

To find the equation of a line given the slope m, and a point

$(x_1,y_1)$

we use the formula,

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

The given line has slope zero and passes through

(3,4)

The equation is

$y - 4 = 0(x - 3)$

$y - 4 = 0$

$y = 4$

Question 6

The given equation is

$x = 1$

This is the equation of a line that is parallel to the y-axis.

The slope of all lines parallel to the x-axis is undefined.

The slope of x=1 is not defined.

7 0

3 years ago

The standard form of a linear equation -2x+3=4y

Dafna11 [192]

Answer:

ax+b=0

Step-by-step explanation:

linear equation

5 0

4 years ago

Beatrice built about 1/3 of a sandcastle. Linda built 4/7 of the same castle. What fraction of the sandcastle did they build tog

wlad13 [49]

Answer

Find out the what fraction of the sandcastle did they build together .

To prove

Let us assume that the fraction of the sandcastle they build together be x .

As given

$Beatrice\ built\ about\ \frac{1}{3}\ of\ a\ sandcastle.$

$Linda\ built\ \frac{4}{7}\ of\ the\ same\ castle.$

Than the equation becomes

$x = \frac{1}{3} +\frac{4}{7}$

L.C .M of (3,7) = 21

solving

$x = \frac{7 + 3\times4}{21}$

$x = \frac{19}{21}$

Therefore the fraction of the sandcastle did they build together be

$x = \frac{19}{21}$

Hence proved

4 0

3 years ago

Ben deposited $6,500 in a simple interest account that pays 2.8% interest. If Ben leaves the money in the account for 12 years,

trasher [3.6K]

Answer: 2184

Step-by-step explanation:

6,500 x 0.028 = 182 x 12

5 0

4 years ago