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3 years ago

What is 16.748 rounded to nearest hundredths

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

17.000

Step-by-step explanation:

You round up because 7 is closest to 10

Hope this helps :)

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Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

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Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

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⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0

1 year ago

Read 2 more answers

The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +

serious [3.7K]

Answer:

B. False

Step-by-step explanation:

Given

$Points: (x_7 - y_i),(4,8)$

Required

Is the distance between them $\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}$

Given that there are two points, the distance between them is calculated using

Distance = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

In this case;

$(x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)$

Substitute these in the given formula

Distance = $\sqrt{(4- x_7)^2 + (8 - y_1)^2}$

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form $\sqrt{(4- x_7)^2 + (8 - y_1)^2}$

6 0

2 years ago

Workers at a quarry are removing rock at a daily rate of 0.1%. There are 3.2 tons of rock when the work begins.

Tanzania [10]

Answer: C

Step-by-step explanation:

use the x and y

6 0

2 years ago

Read 2 more answers

A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during certai

nika2105 [10]

Answer:

B) Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4

Step-by-step explanation:

A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during certain amounts of time.

Biking Times and Distances

Number of Minutes Number of Miles

10 2.5

16 4

? 7.5

48 12

Which statement explains how to find the number of minutes it takes to bike 7.5 miles?

B) Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4....

5 0

2 years ago

Read 2 more answers

What is -9x-(2x/-3) When x equals 7

yuradex [85]

$-9x- \frac{2x}{-3}$

$-9*(7) - \frac{2*7}{-3}$

$9*7 = 63$

$\frac{2*7}{-3} = \frac{14}{-3}$

Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$

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

$-63-( -\frac{14}{3} )$

Apply rule - ( - a) = a

$-63+ \frac{14}{3}$

Convert element to fraction :

$63 = \frac{63}{1}$

$-\frac{63}{1} + \frac{14}{3}$

Find the LCD 1*3 = 3

$- \frac{63*3}{3}+ \frac{14}{3}$

$\frac{-3+63+14}{3} = \frac{-175}{3}$

<span>Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$ </span>

$= - \frac{175}{3}$

hope this helps!

4 0

3 years ago