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3 years ago

If a line with a slope of -2 crosses the yaxis at (0,3) what is the equation of the line

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer:

$y=-2x+3$

Step-by-step explanation:

Notice that with the provided information they are given you not ust the slope of the line (-2), but also the y-intercept (the point where the line crosses the y-axis which happens when x=0).

So you can directly write the equation of the line in slope-intercept form [ $y=mx+b$ where "m" is the slope and "b" the y-value when x=0].

Such gives us:

$y=-2x+3$

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30 = y - 2 and work plzzz

9966 [12]

Answer:

Step-by-step explanation:

y - 2 = 30

y = 32

3 0

2 years ago

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Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce

Svet_ta [14]

Answer:

The area of the park is $108\ m^{2}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{5}{3}\frac{cm}{m}$

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

$20/(5/3)=12\ m$

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

$15/(5/3)=9\ m$

step 3

Find the area of the park

$A=(12)(9)=108\ m^{2}$

5 0

3 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!! answer both

weeeeeb [17]

Solution 1 :-

Given expression ,

$\implies 13^{\frac{3}{4}}$

We know that, $a^{\frac{m}{n}} = \sqrt[n]{a^m}$

Therefore , this can be written as ,

$\implies \sqrt[4]{13^3}$

Solution 2:-

Given expression ,

$\implies \sqrt[3]{24^{10}}$

We know that, $a^{\frac{m}{n}} = \sqrt[n]{a^m}$

Therefore, this can be written as ,

$\implies 24^{\frac{10}{3}}$

5 0

2 years ago

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Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u

yuradex [85]

Answer:

12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

area ≈ 12.123 . . . square units

Additional comment

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

7 0

1 year ago

A room has a cathedral ceiling. If the walls in the room are 10 feet high and the ceiling is 18 feet high in the center of the r

9966 [12]

Check the picture below

notice, the run is half 35

recall slope = rise/run

4 0

3 years ago