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2 years ago

The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r

Mathematics

1 answer:

dusya [7]2 years ago

7 0

Answer:

$r=\frac{14}{3}$

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

$\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r$

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Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2

Nostrana [21]

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2

y = kx

k = 150

Hence,

y = 150 × 2

y = 300

7 0

3 years ago

The population in the current year is 31.5 million and the real GDP is $814 million. The previous year's statistics were a popul

andrew11 [14]

Answer:

The change in the standard of living, measured by growth in real GDP per person, is 0.1356%

Step-by-step explanation:

Given,

In the current year,

Population = 31.5 million,

Real GDP = $814 million,

So, the real GDP per person = $\frac{814}{31.5}$ ≈ 25.841

In the previous year,

Population = 31 million,

Real GDP = $800 million,

So, the real GDP per person = $\frac{800}{31}$ ≈ 25.806

Hence, change percentage = $\frac{\text{Change in GDP per person}}{\text{Previous year GDP per person}}\times 100$

$=\frac{25.841-25.806}{25.806}\times 100$

$=\frac{0.035}{25.806}\times 100$

$=\frac{3.5}{25.806}$

≈ 0.1356 %

5 0

3 years ago

4/9 / 9/5= the answer is

mr Goodwill [35]

Answer:

20/81

Step-by-step explanation:

Without parentheses, it is hard to tell what you are dividing. We assume you want ...

(4/9)/(9/5)

Then ...

$\displaystyle\frac{\left(\frac{4}{9}\right)}{\left(\frac{9}{5}\right)}=\frac{4}{9}\cdot\frac{5}{9}=\frac{4\cdot 5}{9\cdot 9}=\frac{20}{81}$

_____

As written (without parentheses), your expression is evaluated left to right, so evaluates to ...

4/(9·9·5) = 4/405

7 0

3 years ago

The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac

N76 [4]

Answer:

$\boxed{\text{144.33 m}^{2}}$

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.

The ratio of the areas is the square of the scale factor.

$\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}$

4 0

3 years ago

What is |3| - 7...............

Ad libitum [116K]

The absolute value of 3 =3
So 3-7= -4

6 0

3 years ago

The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​

The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r