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3 years ago

Y=4x-1Y-2=x i need help substitution method

Mathematics

1 answer:

Anton [14]3 years ago

7 0

Answer:

x = 1, y = 3

Step-by-step explanation:

x = y - 2, so y = 4 (y - 2) -1

solve normally now

y = 4 (y - 2) -1

y = 4y - 8 - 1 (distribute)

y = 4y - 9 (simplify)

+9 -y -y +9

9 = 3y

3 = y

y - 2 = x

(3) - 2 = x

x = 1

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The area of a square is increasing at the constant rate of 16sq.ft./min. When the perimeter of the square is 36ft, how fast is t

bixtya [17]

Answer:

The perimeter of square is increasing by 3.76ft/min and then by 3.4 ft/min.

Step-by-step explanation:

Given that area of square is increasing at a rate of 16 sq ft/min.

Given that final perimeter is 36ft

Perimeter of a square = 4 $\times$ side = 36

So, side, a' = 9 ft

We know that area of a square is given by the formula:

$A = side^2 = a^2$ (If we let side = a units)

Change in area =

$a'^2 - a^2\\\Rightarrow 9^2 - a^2 = 16\\\Rightarrow 81 - 16 = a^2\\\Rightarrow a = 8.06\ ft$

So, side got changed from 8.06ft to 9 ft.

So, perimeter when side was 8.06 ft:

$4 \times 8.06 = 32.24\ ft$

Hence, increase in the perimeter when perimeter is 36 ft is = 36 - 32.24 = 3.76 ft

For finding Next increase:

area gets changed from 81 sq ft to 81+16 = 97 sq ft

So, new side = $\sqrt{97}$ ft = 9.85 ft

Next increase in perimeter = 4 (New side - Old side)

= 4 (9.85 - 9)

= 3.4 ft/min

6 0

4 years ago

Find the zeros of the polynomial x^2 + 8x + 16

Scorpion4ik [409]

hey mate,

$x^2 + 8x + 16 = 0$

<=>

$(x+4)^2 = 0$

As we know that $(a+b)^2 = a^2+b^2+2ab$

then

$(x+4)^2 = 0$

<=> (x+4) = 0

<=> x = -4

so there is one solution x = -4

thanks

4 0

3 years ago

A right triangle includes one angle that mesures 30 degrees. What is the measure of the third angle?

Airida [17]

The third angle is 60 degrees. A triangle has 180 degrees so 180-30-90=60

5 0

4 years ago

Read 2 more answers

A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $

Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.
less than <.
less than or equal to ≤.
greater than or equal to ≥.

An inequality contains one or more unknown values called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

A group of friends has no more than $65 to spend on parking and admission.
Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

4 0

2 years ago

Need Help ASAP!!!

Drupady [299]

Answer:

B) { $(-2, -3), (-3, -2), (2, 3), (3, 2)$ }

Step-by-step explanation:

A function cannot have replicated x-coordinates. All the other answer choices do, so you would pick this one.

I am joyous to assist you anytime.

8 0

3 years ago

Y=4x-1Y-2=x i need help substitution method​

Y=4x-1Y-2=x i need help substitution method