Which linear equation represents a line with a slope of -7 and a y-intercept of 12

Mathematics

1 answer:

notka56 [123]2 years ago

4 0

Answer:

Answer → y = -7x + 12

Step-by-step explanation:

General equation of a line:

$\hookrightarrow \: { \tt{y = mx + c}} \\$

m is the slope
c is the y intercept

From the question;

m is -7

c is 12

${ \tt{y = - 7x + 12}}$

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xenn [34]

Answer:

$\large \boxed{\text{23 s}}$

Step-by-step explanation:

Jaime is at point A and wants to get across the river to Point B.

They must head upstream towards Point C.

1. Calculate the net speed across the river.

∆ABC is a right triangle, so

$\begin{array}{rcl}AB^{2} + BC^{2} & = & AC^{2} \\AB^{2} +10^{2} & = & 12^{2} \\AB^{2}+100& = & 144 \\AB^{2}& = & 44\\AB & = & \sqrt{44}\\& = & 2\sqrt{11}\\& \approx &\textbf{6.633 m/s}\\\end{array}$

2. Calculate the time to cross the river

$\text{Time} = \text{150 m} \times \dfrac{\text{1 s}}{\text{6.633 m}} \approx \textbf{23 s}\\\\\text{It will take $\large \boxed{\textbf{23 s}}$ to cross the river.}$