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3 years ago

Through (2,6) and perpendicular to y=-5/4x+1

2 answers:

6 0

Y = -5/4x + 1.....the slope here is -5/4. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign, resulting in 4/5 (u see how I flipped -5/4 and turned it into 4/5...I then changed the sign and made it 4/5)

y = mx + b
slope(m) = 4/5 ....we are using the negative reciprocal here
(2,6)...x = 2 and y = 6
now we sub and find b, the y int
6 = 4/5(2) + b
6 = 8/5 + b
6 - 8/5 = b
30/5 - 8/5 = b
22/5 = b

so ur perpendicular equation is : y = 4/5x + 22/5

Diano4ka-milaya [45]3 years ago

4 0

1.26
in A decimal
hope it helps

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in one month darius spends 10 hours walking dogs. How many dogs walks does he do in one month ALSO this is dividing a whole numb

MA_775_DIABLO [31]

Step-by-step explanation:

let's assume one month is 30 days you would multiply 10 by 30.

$10 \times 30 = 300$

which would be 300 hours in 1 month

now if one month is 31 days you would simply multiply 10 by 31.

$10 \times 31 = 310$

which would be 310 hours

6 0

3 years ago

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. The ball's height h (in meters) aft

lakkis [162]

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$\bf t=\cfrac{-(-15)\pm\sqrt{(-15)^2-4(5)(5)}}{2(5)}\implies t=\cfrac{15\pm\sqrt{225-100}}{10} \\\\\\ t=\cfrac{15\pm\sqrt{125}}{10}\implies t=\cfrac{15\pm\sqrt{5^2 \cdot 5}}{10}\implies t=\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\pm ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{5}}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}$

$\bf t=\cfrac{3\pm \sqrt{5}}{2}\implies t= \begin{cases} \frac{3+ \sqrt{5}}{2} \approx 2.618\\\\ \frac{3- \sqrt{5}}{2}\approx 0.382 \end{cases}$

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3 years ago

Last year at a certain high school, there were 125 boys on the honor roll and 80 girls on the honor roll. This year, the number

Elodia [21]

Answer:

6.8% decrease

Step-by-step explanation:

a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115

a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76

total number of students on honor roll last year = 125 + 80 = 205

total number of students on honor roll this year = 115 + 76 = 191

percent of change = (191 - 205) ÷ 205 = -14/205 = -.068

-.068, which represents a 6.8% decrease

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2 years ago

Two lines are perpendicular, and neither line is horizontal. Which of the following is not necessarily true of the lines?

musickatia [10]

I think the correct answer from the choices listed above is option C. <span>Two lines are perpendicular, and neither line is horizontal so it must be that the slopes of the lines are opposite reciprocals, one slope is positive and the other has a negative slope. Having different slopes so they should intersect the y-axis at different values.</span>

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3 years ago

the amount of water in a bathtube as it drains can be modeled by this equation with y representing the number of gallons of wate

koban [17]

Since $y$ is representing the number of gallons of water in the tub, we need to replace $y$ with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for $x$ to find the time:
$17.8=-7.3x+39.7$
$7.3x=21.9$
$x= \frac{21.9}{7.3}$
$x=3$

We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>

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3 years ago