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3 years ago

Enter values for a and b, so that the system of equation shown has one solution y=3x+4 and y=ax+b a=? b=?

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

a = 3 and b = 4

Step-by-step explanation:

Independent Equations

Lines intersect

One solution

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.

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PLEASE HELP WILL GIVE BRAINLIEST

LUCKY_DIMON [66]

Answer:

A. slope = -2; point = (8, -3)

Step-by-step explanation:

Compare to the point-slope form for slope m and point (h, k).

y -k = m(x -h)

You see that k = -3, m = -2, h = 8, so ...

the slope is -2
the point is (h, k) = (8, -3)

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3 years ago

Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0

Kipish [7]

So our equation currently is ⇒ $x^2+y^2-10x+8y-8 = 0$

Let's first move all the constant to one side and group 'like variables' together:

$(x^2-10x)+(y^2+8y) = 8$

Now lets complete the square of both equations

$(x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2$

Now we know the circle's general equation format is:

⇒ $(x-h)^2+(y-k)^2 = r^2$

(h, k) ⇒ coordinate of the center of the circle
r ⇒ length of radius of circle

Thus the radius of the circle is 7

Hope that helps!

7 0

2 years ago

Any easy questions out there i can answer

katovenus [111]

Answer:

mee I'm in 8th

Step-by-step explanation:

plzz help will be very thankful

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3 years ago

Read 2 more answers

A bedroom wall is 32 m wide and 54 m long. What is the total area of the wall? A can of paint will cover 12 sq. meter. How many

Alenkasestr [34]

Answer:

288

Step-by-step explanation:

Area of the wall = width x length = 32 x 54 = 1728 sq m

The number of cans for 1 coat = 1728/12 = 144 cans

The number of cans for 2 coats = 144 x 2 = 288 cans

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2 years ago

Daniel watches one hour of television for every three hours of homework he does each week. If you did 15 hours of homework last

leva [86]

Hey if you like my answer please give me the brainliest answer :)

Ok so we have a ratio of 1:3 here. (1 is for the hour of tv and 3 is for hours of homework)

3 can go into 15 (hours of homework last week) 5 times. That means we must multiply 3 by 5 to get 15 so that we can fit the ratio to last week. Because we did that, we have to multiply 1 by 5 as well.

1 × 5 = 5 hours of homework!

3 0

3 years ago

Read 2 more answers