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3 years ago

13

What is the total mass (in tonnes) of 3 500 books each of mass 800 grams?

1 answer:

ki77a [65]3 years ago

3 0

Answer:

2.8 tonnes

The explanation is in the picture below

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17. Write the equation of a line that is perpendicular to the given line and that passes through the given point.

nataly862011 [7]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the line in point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\y-2=\dfrac{7}{3}(x+5)\to m_1=\dfrac{7}{3}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{7}{3}}=-\dfrac{3}{7}.\\\\\text{We have the slope}\ m=-\dfrac{3}{7}\ \text{and the point}\ (-4,\ 9).\ \text{Substitute:}\\\\y-9=-\dfrac{3}{7}(x-4))\\\\\boxed{y-9=-\dfrac{3}{7}(x+4)}$

7 0

3 years ago

Write the equation of the line that has a slope of -4 and a y-intercept a (0,7)

Flauer [41]

Answer:

7=-4x+7

Step-by-step explanation:

the formula of slope intercept form is y=Mx+b and M=slope and b=y value of x intercept

so y=-4x+7

7 0

4 years ago

Can someone help asap

Galina-37 [17]

Answer:

37.2m^3

Step-by-step explanation:

Given: The dimension of a cuboid

$l(length)=6.2m\\w(width)=2.4m\\h(height)=2.5m$

To Determine: The volume of the container

The volume of a cuboid is calculated by the formula below:

$V cuboid=lxwxh$

Substitute into the formula the given dimensions

$V container=6.2m x2.4mx2.5m\\V container=37.2m^{3}$

Hence, the volume of the container is 37.2m^3

4 0

3 years ago

Translate f(x) = |x| so that it's translated down by 3 units and vertically stretched by a factor of –2. What's the new function

svp [43]

D. g(x)=-2IxI-3

The -3 is the vertical shift 2 units down
The -2 is multiplied outside of the x, so it’s a vertical stretch.

6 0

4 years ago

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

notsponge [240]

Answer:

BD = 63

Step-by-step explanation:

$\frac{2}{12} = \frac{9}{CD} \\ \\ CD= \frac{12 \times 9}{2} \\ \\ CD = 6 \times 9 \\ \\ CD = 54 \\ \\$

BD = BC + CD = 9 + 54

BD = 63

4 0

3 years ago