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KengaRu [80]
3 years ago
11

Write an equation of the line that passes through the points (0, 3) and (-5, 0).

Mathematics
2 answers:
Pie3 years ago
7 0

(0, 3) is the y-intercept as it passes through y = 3 at x = 0, or the y-axis.

Slope:

\frac{y1 - y0}{x1 - x0}  =  \frac{3 - 0}{0 - ( - 5)}  =  \frac{3}{5}

Equation of a straight line:

y = mx + c

m = slope (3/5)

c = y value of y-intercept (3)

Equation:

y =  \frac{3}{5} x + 3

Setler [38]3 years ago
5 0

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

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1. A line passes through the point (2, k) and (4k, 5) and has a slope of 1/2 . Find the value of k.
Doss [256]

(\stackrel{x_1}{2}~,~\stackrel{y_1}{k})\qquad (\stackrel{x_2}{4k}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{k}}}{\underset{run} {\underset{x_2}{4k}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\\\ 10-2k=4k-2\implies 10=6x-2\implies 12=6k\implies \cfrac{12}{6}=k\implies 2=k

5 0
3 years ago
The mean amount of water in 5 containers is 620 ml the total amount of water in 4 q of the containers is 2750 what is the amount
EleoNora [17]
<span>The <u>correct answer</u> is:

350 ml.

Explanation<span>:

Let x be the amount in the fifth container.

The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.

Algebraically,
</span></span>\frac{2750+x}{5}=620<span><span>

To solve, multiply both sides by 5:
</span></span>\frac{2750+x}{5}\times 5=620\times 5&#10;\\&#10;\\2750+x=3100<span><span>

Subtract 2750 from both sides:
 2750+x-2750=3100-2750
x=350.

There are 350 ml in the fifth container.</span></span>
6 0
3 years ago
Read 2 more answers
-5.73q = 97.41 q= please help me???
jek_recluse [69]

First Divide both sides by -5.73

-5.73q/-5.73=97.41/-5.73

Answer: q=-17

7 0
3 years ago
Ax over b plus cx over d equals e <br> solve for x
Lorico [155]
\frac{ax}{b}+\frac{x}{d}=e\ \ \ \ \ \ |multiply\ both\ sides\ by\ "bd"\\\\bd\times\frac{ax}{b}+bd\times\frac{cx}{d}=bde\\\\adx+bcx=bde\\\\(ad+bc)x=bde\ \ \ \ \ |divide\ both\ sides\ by\ (ad+bc)\\\\\boxed{x=\frac{bde}{ad+bc}}
7 0
3 years ago
N.
noname [10]

Answer:

287.1 inches of the canvas.

Step-by-step explanation:

To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.

29*33=957

Now set up your equation for solving for the area of the canvas that the rose covers.

x/957=30/100

We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.

Now cross multiply.

100x=28,710

Now divide both sides by 100.

x=287.1

The red rose covers 287.1 inches of the canvas.

6 0
3 years ago
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