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sdas [7]
3 years ago
9

Solve this system using substitution then write your answer as an ordered pair (x,y) X-5y=4 and Y=2x+14

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

(74/9,274/9)

Step-by-step explanation:

You have

x-5y=4 and

y=2x+14

so we subsitute y in the first equation

x-5(2x+14)=4

x-10x-70=4

-9x=74

x=74/9

so y=2(74/9)+14

y=148/9+14

y=274/9

so the oredered pair is

(74/9,274/9)

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blagie [28]

Linear equation is equation in which each term has at max one degree. The function that can represent the given graph is y=2.0769x + 1.5.

<h3>What is linear equation?</h3>

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on Cartesian plane with axes of those variables, give a straight line.

For the given graph the equation can be written as, y = mx+c, this is because the graph is a line which means the relationship is linear. Therefore, the equation can be written as,

y = mx + c

Now, there are two points that are on the line and the coordinates of this points are,

A = (4, 9.5)

B = (7.25, 16)

Further the slope of the equation is,

m = (16-9.5) / (7.25 - 4) = 2.0769

Since c is the y-intercept of the graph, therefore, the value of c is 1.5.

Thus, the function that can represent the given graph is y=2.0769x + 1.5.

Learn more about Linear equations:

brainly.com/question/27465710

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5 0
2 years ago
Please help<br> do step by step<br> I learn diff
Lesechka [4]
1.5 use a calculator
6 0
3 years ago
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What is the slope of the line that passes through the points (−10,−8) and (-8, -16) Write your answer in simplest form.
jarptica [38.1K]

Step-by-step explanation:

given,

point = ( -10, -8 ) and ( -8, -16 )

we know,

slope = y2 - y1 / x2 - x1

x1 , y1 = (-10 , -8 )

x2 , y2 = ( -8, -16 )

after inserting the values we got,

→ -16 - (-8 ) / -8 - (-10)

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hope this answer helps you dear...take care and may this answer helps you dear!.

7 0
3 years ago
NO LINKS!!!! Find the equation of the circle below​
inysia [295]

Answer:

(x+3)^2+(y-2)^2=9

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

  • (a, b) is the center
  • r is the radius

From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear.  Therefore, a = -3  and  b = 2.

Substitute these values into the general form of the equation of a circle:

\implies (x-(-3))^2+(y-2)^2=r^2

\implies (x+3)^2+(y-2)^2=r^2

Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5.  Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

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Substitute the found value of r into the equation:

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Therefore, the final equation of the given circle is:

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7 0
1 year ago
Read 2 more answers
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The situation is illustrated in the figure attached.

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\boxed{d = 357.54km}

4 0
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