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scoray [572]
3 years ago
7

Write the slope intercept

Mathematics
1 answer:
Papessa [141]3 years ago
4 0
Find the slop equation.

Slope: -3

Y-intetrcept: -3
y =  - 3x - 3
Now write it as an inuquality.

It's shaded to the left and the line is not fully filled in. Which means that whatever "y" is, it's Less than the and equal to the slope.
y \leqslant  - 3x - 3
Hope this helps :)

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
photoshop1234 [79]

Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

y=\dfrac{7}{2}x-18

8 0
3 years ago
A mother is to give her child 10 ccs of medicine every
8090 [49]

Answer:

See below in bold.

Step-by-step explanation:

1 teaspoon holds 5 ccs so that is 2 teaspoons per dose.

2 teaspoons every 6 hours is 4 * 2 = 8 teaspoons per day.

7 0
3 years ago
Read 2 more answers
If a man runs for a nd hour and a half at 8 miles an hour due South; and he continues south on a bus traveling at 55 miles an ho
blsea [12.9K]

he ran 8 * 1.5 = 12 miles

the bus went : 55 * 24/60 = 22 miles

12 +22 = 34 miles total

8 0
3 years ago
Shortly after takeoff, an airplane is climbing 250 feet for every 1,000 feet it travels. Estimate the airplane’s climb angle whi
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Answer: The climb angle is 14°

Step-by-step explanation:

We can create a rectangle triangle, where the velocity of the plane is the hypotenuse, the horiontal component (1000 ft by unit of time) is a cathetus and the vertical component is (250ft by unit of time).

We want to find the angle that is adjacent to the horizontal component, so we can use the relationship.

Tan(angle) = opposite cathetus/adjacent cathetus

Tan(angle) = 250/1000 = 1/4

Angle = Atan(1/4) = 14°

7 0
3 years ago
A rabbit and a turtle run 100 meters. When the rabbit finished, the turtle was behind by 80 meters. Next time they want to finis
d1i1m1o1n [39]

From the fraction solved, the distance that the rabbit should be behind the turtle will be 400 meters.

<h3>How to solve the distance</h3>

From the information, it was stated that a rabbit and a turtle run 100 meters and that when the rabbit finished, the turtle was behind by 80 meters. Therefore, the distance covered by the turtle will be:

= 100 - 80

= 20 meters

Therefore, the fraction of their distance will be:

= 20/100 = 1/5

Therefore, the number of meters behind the turtle that the rabbit should start will be:

= 80 × 5

= 400 meters.

Learn more about distance on:

brainly.com/question/2854969

3 0
2 years ago
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