All categories

3 years ago

How many solutions does the system have?

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Answer:

A:One Solution

Step-by-step explanation:

First substitute the y in the first equation with the second equation to get

-2x-4=3x+3

since theres a variable of both sides, you subtract the variable with the least coefficient, in this case, you add 2x to both sides to get

-4=5x+3

subtract the constant on both sides to get

-1=5x

divide both sides by 5

x= -0.2 or -1/5

it's A, one solution

You might be interested in

Which equation has a solution of X=<br> 13?<br> O<br> X+ 3 = 10<br> O x-10=3<br> * = 26<br> Ox+12= 1

Marianna [84]

Answer:

x-10=3

x+10-10=3+10

x=13

3 0

3 years ago

Read 2 more answers

What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$

Therefore:

FOR THE SQUARE:

$L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}$

FOR THE RECTANGLE 1:

$L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}$

FOR THE RECTANGLE 2:

$L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}$

Finally, the area of a garden is the sum of the three areas:

$A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}$

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

4 0

3 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

MatroZZZ [7]

Answer:

1529.4 m^3

Step-by-step explanation:

We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.

First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.

Next, we plug into the formula.

V = 1/3*19.6m*234.09m^2

And simplify:

V= 1/3 * 4,588.164m^3

V= 15.29.3879....

Last, round to the tenth

1529.4 m^3

5 0

3 years ago

Match the part of the circle with the term that best describes it.

nordsb [41]

GH: chord
M: point of tangency
MJ: diameter
J: center
MH: radius
GH: secant

6 0

2 years ago

look at the figure shown below which step should be used to prove that point a is equidistant from points c and b

JulijaS [17]

D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.

C
is wrong as well. The triangles might be similar, but they are more. They are congruent.

B
You don't have to prove that. It is given on the way the diagram is marked.

A
A is your answer. The two triangles are congruent by SAS

3 0

3 years ago