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3 years ago

Is this equation a true statement when x = 6?-2 + 11 - 5x = 5 -6x

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Answer:

False

Step-by-step explanation:

Since we already know the value of x lets plug it in and multiply it

-2+11-5(6)=5-6(6)

-2+11-30=5-36

Now lets put them together

9-30=5-36

-21 = -31

Making x=6 false

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The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would

Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, $A_1$ = 2 x × 3 x

Or, $A_1$ = 6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or, $A_2$ = 4 x × 4.5 x = 18 x²

So, The percentage increase in area = $\dfrac{A_2 - A_1}{A_1}$ × 100

Or, The percentage increase in area = $\frac{18 x^{2}-6x^{2}}{6x^{2}}$ × 100

Or , The percentage increase in area = $\dfrac{12}{6}$ × 100

∴ The percentage increase in area = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

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3 years ago

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Juliette [100K]

Range is greater for the 13-14 year olds.

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3 years ago

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Write the equation of the perpendicular bisector of CD.

Luda [366]

You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.

The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line

2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = ( $\frac{x1+x2}{2} , \frac{y1+y2}{2}$ )

Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.

By this, we would have our equation in the form of:
y = mx + c

Hope this helps :)

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3 years ago

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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet

Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

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3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST !!

MrMuchimi

Answer:

pqs and onl

Step-by-step explanation:

pqs onl

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2 years ago

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Is this equation a true statement when x = 6?-2 + 11 - 5x = 5 -6x​

Is this equation a true statement when x = 6?-2 + 11 - 5x = 5 -6x