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2 years ago

Write down the solution to the simultaneous equations.

Mathematics

1 answer:

julia-pushkina [17]2 years ago

4 0

Answer:

x = 5/2; y = 7

Step-by-step explanation:

2x + y = 12

y = 2x + 2

Use substitution to replace y in the first equation with 2x + 2.

2x + 2x + 2 = 12

4x + 2 = 12

4x = 10

x = 10/4

x = 5/2

y = 2x + 2

y = 2(5/2) + 2 = 5 + 2

y = 7

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Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:

Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

$m = \frac{rise}{run}$

$m = \frac{ - 4.5 - - 3}{2 - - 4} = \frac{ - 1.5}{6}$

$m = - \frac{1}{4}$

The y-intercept can be obtained by finding the equation of the line in the form:

$y = mx + c$

We plug in the slope and the point (-4,-3) to find c.

This implies that,

$- 3 = - \frac{1}{4} \times - 4 + c$

$- 3 = 1 + c$

$c = - 3 - 1 = - 4$

Hence the y-intercept is -4.

The given line is

$y = \frac{3}{2} x + 1$

This is already in the slope intercept form:

The slope is

$m = \frac{3}{2}$

The y-intercept is c=1

5 0

3 years ago

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5 students want lemonade and 1 student wants iced tea. What is the ratio of the number of students who want iced tea to the numb

ANTONII [103]

Answer:

1:5 or you can write 1/5 or 1 to 5

Step-by-step explanation:

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3 years ago

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Identify the graph of 4x^2+5y^2=20 for T(5,-6) and write an equation of the translated or rotated graph in general form. (pictur

NikAS [45]

Answer:

b. ellipse; $4x^2+5y^2-40x+60y+260=0$

Step-by-step explanation:

The graph of $4x^2+5y^2=20$ an ellipse because the coefficients of the quadratic terms are not the same.

This ellipse is centered at the origin. If this ellipse is translated so that its center is now at $(5,-6)$ .

Then the translated ellipse will now have equation.

$4(x-5)^2+5(y+6)^2=20$

We expand to get;

$4(x^2-10x+25)+5(y^2+12y+36)=20$

$4x^2-40x+100+5y^2+60y+180=20$

$4x^2+5y^2-40x+60y+100+180-20=0$

$4x^2+5y^2-40x+60y+260=0$

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4 years ago

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[Tex] \:/:/://///////////////////////////////////////::::::::::::::::::::::::::::::::7474838383+$83+

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3 years ago

The plane flew over a beacon which is 280 miles from bristol. write down the gmt times when the plane flew over the beacon.

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According to graph, GMT time when the plane flew over the beacon was 9:24.

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<h3>What is a graph?</h3>

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.
The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).
Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics of study in discrete mathematics is graphs.

Know more about graph numerical

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