2 years ago

1. What is the solution of the system

Mathematics

1 answer:

sasho [114]2 years ago

8 0

Answer:

Step-by-step explanation:

3x-y=14

4x+y=21

add

7x=35

x=35/7=5

4×5+y=21

y=21-20=1

so (5,1 ) is the solution.

You might be interested in

The ratio of pencils to pens in the drawer is 8:14. If there are actually twice as many pencils as in the ratio, how many pencil

dusya [7]

Yo sup??

let the number of pencils and pens be 8x and 14x

x=2

therefore the number of pens and pencils are

16 pencils and 28 pens

Hope this helps

6 0

3 years ago

If 3/x= 4/5, then what is the value of x?

vitfil [10]

3 4
—- = —-
x 5

cross multiply 3 and 5 = 15
and 4 and x = 4x
you get 15=4x

x= 15/4

5 0

2 years ago

Which system of linear inequalities is shown in the graph?

mestny [16]

The answer is y<x+4,y≥-3x-2

6 0

2 years ago

Read 2 more answers

An altitude of a right triangle to its hypotenuse divides this hypotenuse into two segments that measure 9cm, and 16cm. What are

ozzi

Answer:

Step-by-step explanation:

Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

$\frac{BD}{AD}=\frac{DC}{BD}$

⇒ $(BD)^{2}=DC{\times}AD$

⇒ $(BD)^2=9{\times}16$

⇒ $BD=\sqrt{144}$

⇒ $BD=12 cm$

Thus, the length of altitude is: 12 cm.

Now, $\frac{AB}{AD}=\frac{AC}{AB}$

⇒ $(AB)^{2}=220$

⇒ $AB= 14.83 cm$

Also, $\frac{BC}{DC}\frac{AC}{BC}$

⇒ $(BC)^{2}=400$

⇒ $BC=20 cm$

Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.

6 0

2 years ago

Read 2 more answers

Find the surface area of the pyramid. DO THIS AS QUICK AS POSSIBLE

mrs_skeptik [129]

Explanation:

How many surface has a pyramid?

5 Faces

It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square.

8 0

1 year ago