3 years ago

Х = Зу 2x + 4y = 10 Substitution

Mathematics

1 answer:

ki77a [65]3 years ago

5 0

Answer:

y=1

x=3

Step-by-step explanation:

Multiply 2x by three because if you substitute to y, you would have the multiply.

Write what is left. 6y+4y=10

Combine like terms 10y=10

y=1

x=3

Check 3=3(1)

6+4=10

So this solution is correct

You might be interested in

What ides it mean by simplify?

MrRissso [65]

Putting it in simpler terms

7 0

3 years ago

Ashley deposits $1000 into an account that earns 4% interest compounded 2 times per year. How much money will Ashley have in her

vlabodo [156]

That would be C. $1218.99 :)

5 0

4 years ago

Read 2 more answers

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.