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vekshin1
3 years ago
13

Simplify the expression by combining like terms. 2x + 4y + 6 + 2y - 5 + 3x 

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
I think the answer is 5x + 6y + 1
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8 0
3 years ago
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

<em>Let's plug the points and get the equation of the line:</em>

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2

4 0
3 years ago
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Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum
nalin [4]
By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
V=pi*h*r^2/3
Lets solve this relation for the radius:
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\frac{3V}{pi*h} =r^2
\sqrt{\frac{3V}{pi*h}} = r
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185*\sqrt{V}
5 0
3 years ago
What is the gradient of the blue line????<br> help please
Maru [420]

Answer:

-5

Step-by-step explanation:

gradient = change in y ÷ change in x

gradient = -5 ÷ 1 = -5

8 0
2 years ago
Sove for q.<br> s = 4p + 4q
sergey [27]
S=4P+4Q S=4(P+Q) S/4=P+Q S/4-P=Q Q=S/4-P
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