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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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7 0
3 years ago
find the equation of the axis of symmetry for this equation. f(x) = 6x^2 - 3x + 49. hint: to find the axis of symmetry, use equa
Olenka [21]

We want to find the axis of symmetry of the function;

f(x)=6x^2-3x+49

STEP 1:

The equation for the axis of symmetry of a line is given as;

x=-\frac{b}{2a}

From the equation, a = 6 and b = -3, so,

STEP 2: Insert the values of a and b into the equation to obtain;

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CONCLUSION:

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8 0
1 year ago
18 is 45% of what number? ____<br> Please help me I can't solve this
Alexxx [7]

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cross multiply

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6 0
3 years ago
The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
Kisachek [45]
To evaluate the radius of the cone we proceed as follows:
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
 divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5 
get the square root
r=√33

Thus the mistake that Fatima made was:
<span> In step 3, Fatima did not multiply 88 by the reciprocal of 8/3 </span>
9 0
3 years ago
Read 2 more answers
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GenaCL600 [577]

Answer:

6 3/8, 6 1/2, 6 3/4, 6 5/6

Step-by-step explanation:

I recommend converting everything to decimals, so 6.375, 6.5, 6.75, and 6.833.

Hope this helps :)

6 0
3 years ago
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