the area of a rectangle is 54 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Slove for x. round your answer to the nearest whole number.

Answers

Answer 1
Answer: area=LW
54=LW
L is 2 more than x    L=2+x
w is 5 less than 2x    W=-5+2x



54=LW
L=2+x
W=-5+2x
input
54=(2+x)(-5+2x)
distribute/FOIL
54=-10+4x-5x+2x^2
add like terms
54=-10-x+2x^2
minus 54
2x^2-x-64=0
quadratic formula
x=\frac{ -b+/-\sqrt{b^(2)-4ac} }{2a}
x=\frac{ -(-1)+/-\sqrt{(-1)^(2)-4(2)(-64)} }{2(2)}
x=( 1+/-√(1-(-256)) )/(4)
x=( 1+/-√(1-(-256)) )/(4)
x=4.257 or -3.75
we disregard the negative one because that would make legnth and width negative


x=4 (rounded)


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Please answer ASAP! I need the answer put very clearly- thanks :)

Answers

Answer:

2.6875 or 2.6

Step-by-step explanation:

2.15÷.8=2.6875

Which of the following ordered pairs represents the solution to the system given below? x − 4y = 7
5x + 9y = 6

Answers

x − 4y = 7
5x + 9y = 6

5x − 20y = 35  //1st * 5
5x + 9y = 6

5x +9y - 5x + 20y = 6 - 35  //2nd - 1st
5x + 9y = 6

29y=-29
5x=6-9y

y=-1  //1st : 29
5x=6-9*(-1)

y=-1
x=15:5 //2nd : 5

y=-1
x=3

check:
for x=3 and y=-1 there is:
x − 4y = 7 is 3 − 4*(-1) = 7 is 7=7 ok
5x + 9y = 6 is 15-9=6 is 6=6 ok

answer: (3;-1) represents the solution.

Answer:

It’s 3,-1

Step-by-step explanation:

You have to plug in the points u can use a calculator or work it by hand but I did it on the calculator and that’s what I got

Find the equation of this line.

Answers

Answer:

9, 10, 7, 5

Step-by-step explanation:

Step-by-step explanation:

(-4,5) and (6,4)

y2 - y1 / x2 - x1

4 - - 5/ 6 - - 4

4 + 5/ 6 + 4

y = 9/10x - 3/2

-3/2 or - 1.5 is the point where the line crossed the y-axis

There were 30 days last month, and students attended class 70% of those days. How many days, d, did students attend class last month?

Answers

70% of 30 is 21 so 21x30=630

All right triangles are similar. true or false.

Answers

The statement is False.

Right triangles don't all look the same.

When two triangles are similar, their corresponding angles and sides must be equal and proportional.

Although right triangles have the same attribute of having a single 90-degree angle, they might differ in their side lengths and angles, therefore they are not always comparable.

The relationship between a triangle's angles and side lengths determines how similar they are.

Only when the side lengths of two right triangles are proportionate and all of their angles, including the right angle, are congruent can two right triangles be said to be similar.

Hence the statement is false.

Learn more about similar triangles click;

brainly.com/question/29191745

#SPJ1

not all triangles are similar, like all triangles, all angles must addd up to 180 degrees. Hope this helps.

How many sides can two congruent angles share

Answers

8 i think the answer