Enter a linear equation that models the situation.

Using the graph, determine the coordinates of the y-intercept of the parabola.

natita [175]

There’s only one point

8 0

3 years ago

A hiker at the top of a mountain spots his car back in the parking lot at the

mart [117]

<h2>Answer:</h2><h2>The angle of depression from the hiker to his car, Θ = 56.39 degrees</h2>

Step-by-step explanation:

A hiker at the top of a mountain spots his car back in the parking lot at the

bottom of the trail. If the trail is 632 meters long and the mountain is 420

meters tall,

opposite side = 632 m

adjacent side = 420 m

Angle of depression, Θ = arctan $(\frac{opposite}{adjacent} )$

= arctan $(\frac{632}{420} )$

Θ = 56.39 degrees

3 0

4 years ago

What is the equation of the line that contains the point (-5, -1) and has a slope of 4? Write in slope-intercept form.

Zarrin [17]

$\huge{\boxed{\text{B.}\ y=4x+19}}$

Point-slope form is $y-y_1=m(x-x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line.

Substitute the values. $y-(-1)=4(x-(-5))$

Simplify the negative subtraction. $y+1=4(x+5)$

Distribute the $4$ . $y+1=4x+20$

Subtract $1$ on both sides. $\boxed{y=4x+19}$

3 0

4 years ago

Read 2 more answers

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled $\frac{15*32}{60} = \frac{32}{4} = 8\text{km}$

So, his position after t minutes can be modeled by the following function:

$J(t) = 8 + 32t$

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

$M(t) = 52t$