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Anton [14]
3 years ago
15

What is the solution to the system of equations below?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

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Need help with question 1 and 2 PLEASEEEE
aksik [14]

Answer:

P, M, N and C are coplanar, because they are on the same plane.

Noncollinear, because they are not on the same line.

Hope this helps :)

7 0
3 years ago
Please help with these two questions
S_A_V [24]
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.

</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.

A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.

12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.

Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.

Shape C is a <em>prism.</em>

Shape D is a <em>pyramid.

</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.

A cube is a 3-D shape with six sides, all made up of squares of the same size.

The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.

This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.

1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.

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120 ÷ 24 = 5

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7 0
3 years ago
Please help :)!!!!!!!!!!!!!!!!!!!!!!
mart [117]

x adds 1 and y subtracts by 6

7 0
3 years ago
Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1?
nata0808 [166]

(A- No solution)

Ignore the folloqing;

(12345678901234567890)

3 0
3 years ago
Read 2 more answers
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
3 years ago
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