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3 years ago

Answer question 11 and 12

Mathematics

1 answer:

Darya [45]3 years ago

5 0

Answer:

11. y = -2x - 4.

12. y = x - 5

Step-by-step explanation:

11. the given points on the line are ((-2, 0) and (0, -4)

The slope of the line

= difference in y values / corresponding difference in x values

= ( - 4 - 0) / 0 - (-2))

= -4 / 2

= -2.

The general form of a straight line is y = mx + c where m = the slope and c = y value of the intercept on the y-axis.

So the equation is:

y = -2x - 4.

12.

The points are (1, -4) and (3, -2).

The slope is (-2 - (-4)) / (3 - 1)

= 2/2

= 1.

So the equation is

y = 1x + c

We find c by plugging in the point (1, -4):

-4 = 1 + c

c = -4 - 1

c = -5.

The equation is y = x - 5.

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(I will mark brainliest) Will 3/8 + 2/8 be closer to 1/2 or 1? How do you know?

11111nata11111 [884]

Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

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2 years ago

Make X the subject of the formula<br><br><br>will mark brainliest!!

irga5000 [103]

Answer:

$y = \frac{x + 2}{x - 4} \\ xy - 4y = x + 2 \\ xy - x = 4y + 2 \\ x(y - 1) = 4y + 2 \\ x = \frac{4y + 2}{y - 1} \\ \boxed{x = \frac{2(2y + 1)}{y - 1} }$

hope this helps.

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3 years ago

Find the area of the polygon. Figure ABCDE is shown. A is at 6, 0. B is at negative 4, 5. C is at 2, 5. D is at 2, 9. E is at 6,

kondaur [170]

This question is incomplete. The attached image was obtained online

Answer:

41 square units

Step-by-step explanation:

Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.

In square CDEF we have:

The lengths of the side of the square= 4 units

Hence, the area of square is: length ²

Area of square= 4²

=16 square units

Also, in ΔBFA we have:

The base of the triangle is calculated as

=6 + 4= 10 units

height of the triangle is: FA= 5 units

The formula for Area of a triangle = 1/2 × Base × Height

Hence, we have area of ΔBFA as:

= 1/2 × 10 × 5

Area= 25 square units

The Area of the Polygon = Area of the square + Area of the triangle

16 square units + 25 square units

= 41 square units

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3 years ago

Qual a resposta dessa expressão numérica? 3-10³-3.10².2².1²

Len [333]

I don't understand your language and I don't know which language is this but I try to answer your question. 3-1000-3*100*4*1 3-1000-1200 3-2200 =-2197

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3 years ago

Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m

kipiarov [429]

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

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3 years ago