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UkoKoshka [18]
4 years ago
8

In the following system of equations, what would you do to eliminate x? 2x + 4y = 10 x - 3y = 12

Mathematics
1 answer:
Anvisha [2.4K]4 years ago
8 0
2x +4y =10x-3y =12

2x +4y =12 -----eq. 1

10x-3y =12 -------eq.2


2x =12 -4y [using eq. 1]
x = (12-4y)/ 2
= 6 -2y

Now, substitute the value of x in eq. 2
10 (6-2y)-3y =10
60 -20y -3y =10
-23 y = 10 -60
y = -50 / -23
y = 50/23


Now, substitute this value of y in any equations given above

10 x-3 (50/23) =12
10x - (150/23)= 12
x= 426/230
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grandymaker [24]

Answer:

area is 21

Step-by-step explanation:

the formula to find the area of a triangle is

area = 1/2 x base x height

so we can plug the numbers of your triangle in to that formula

the base is 7 and height is 6

area = 1/2 x 7 x 6

area = 1/2 x 42

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6 0
3 years ago
Given the rational function f(x)=2x+6/x-3, Answer the following questions.
AysviL [449]

Answer:

  1. A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero
  2. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y
  3. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
  4. In mathematics, a zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0.

refer this attachment for 1st question ( given the rational function f(x)=2x+6/x-3, Answer the following questions. )

8 0
3 years ago
Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).
creativ13 [48]
So hmm check the picture below

we know the vertex is at the origin, and the focus point is below it, that means two things, the parabola is vertical and it's opening downwards

notice the distance "p", from the vertex to the focus point, is just 7 units, however, since the parabola is opening downwards, the "p" value will be negative, so p = -7

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{4{{ p}}(y-{{ k}})=(x-{{ h}})^2 }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
4{{ p}}(y-{{ k}})=(x-{{ h}})^2\quad 
\begin{cases}
h=0\\
k=0\\
p=-7
\end{cases}\implies 4(-7)(y-0)=(x-0)^2
\\\\\\
-28y=x^2\implies y=-\cfrac{1}{28}x^2

8 0
3 years ago
Work out the area of a semi circle take pi to be 3.142 and five your answer to two decimal places
Diano4ka-milaya [45]

Answer:

what are the measurements of the semi circle

Step-by-step explanation:

7 0
3 years ago
Find the measure of the missing angles.<br> 147°<br><br> d =<br> e =<br><br> f=
Debora [2.8K]

Answer:

D = 90°

E = 147°

F = 33°

Step-by-step explanation:

E:

E is 147°, because it is vertical to the angle 147°

F:

F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

D:

D is worth 90°, because its supplement is worth 90°

-Chetan K

8 0
3 years ago
Read 2 more answers
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