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2 years ago

The system shown has solution(s). y= 2x+1 X 2y-x = 6 No one Infinite

Mathematics

1 answer:

LenaWriter [7]2 years ago

7 0

9514 1404 393

Answer:

one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

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A jeweler has a 5 and 1/2 inch strip of silver wire that she is cutting into 1 and 3/8 inch pieces. How many pieces can she make

Oduvanchick [21]

To solve this problem, you’re going to take 5.5 and divide it by 1.375. In doing so, you will get a final answer of 4 pieces.

5.5 / 1.375 = 4

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3 years ago

Alice's book has 200 Pages. Alice has read 75% of the pages in her book. Nina has read the same number of pages the only 50% of

charle [14.2K]

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3 years ago

The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference

Eddi Din [679]

Answer:

425

Step-by-step explanation:

8 0

2 years ago

What is the correct solution to 1/2(x+18)=4(2x-6)-9x

denis-greek [22]

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

$\frac{1}{2} (x+18) = 4(2x-6)-9x$

I simplified the problem to:

$\frac{1}{2} x+9 = 8x-24-9x$

I combined like terms:

$\frac{1}{2} x+9 = -x-24$

I moved all x to one side and all other constants to the other:

$\frac{3}{2} x = -33$

I divided by 3/2 (1.5) on both sides to isolate x:

$x = 22$

Hope it helps! (:

4 0

3 years ago

In ∆PQR, ∠P = 90degrees , PQ= 12 cm, PR=16cm. Find ∠Q

siniylev [52]

Answer:

∠Q = 53.13 degrees

Step-by-step explanation:

Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle

Hence using the notation

SOH CAH TOA

where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides

Considering ∠Q and the given sides

PR=16cm is the opposite side,

PQ= 12 cm is the adjacent side hence we use TOA

Tan Q = 16/12 =

Q = Arc tan 16/12

= 53.13 degrees

5 0

2 years ago