All categories

3 years ago

Y + 4x = 8 and 5x + 2y = 13

1 answer:

4 0

Y + 4x = 8
y = 8 - 4x
substitute 8 - 4x for y in the other equation.
5x + 2(8 - 4x) = 13
5x + 16 - 8x = 13
-3x = -3
x = 1
y = 8 - 4(1) = 4

You might be interested in

Please help me ASAP

Natali5045456 [20]

2 units
........................................................................................

4 0

3 years ago

Read 2 more answers

Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!

lana [24]

50/36 just keep dividing the numbers by two

5 0

3 years ago

Read 2 more answers

In a right-angled triangle, the hypotenuse is 113 and a leg is 112.

melomori [17]

Answer: 15

Step-by-step explanation: Use the formula: $a^{2}+b^{2}=c^{2}$

Remember $c^{2}$ should always be the hypotenuse or the longest side.

$112^{2}+b^{2}=113^{2}$ ---> evaluate the exponents

$12544+b^{2}=12769$ ----> subtract 12544 to the other side

$b^{2}=225$ ---> take the square root of both sides

$b=15$

7 0

3 years ago

PLZ I NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use th

hjlf

Answer:D

Step-by-step explanation:

8 0

3 years ago

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago