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2 years ago

Solve the Pythagoras theoremx² = 5² + 3²

Mathematics

2 answers:

sergey [27]2 years ago

8 0

Answer:

24 squared

Step-by-step explanation:

because 5x5 is 25 plus 9

VLD [36.1K]2 years ago

8 0

Answer:

x² = 5² + 3²

Step-by-step explanation:

x² = 5² + 3²

x² =25+9

x²=34

x=√34

x=5.8309518948 ~ 5.8

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6) A demand curve for a product is the number of items the consumer will buy at different prices. At a price of $2 a store can s

ExtremeBDS [4]

Given :

When price is $2 dollars he sells 2400 units .

When price is $8 dollars he sells 600 units .

To Find :

If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.

Solution :

Two points are given :

$(x_1,y_1)=(2,2400)$

$(x_2,y_2)=(8,600)$

Now , slope is given by :

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300$

Now , the equation of line containing these two points and slope -300 is :

$(y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000$

Therefore , equation for the demand curve is $y = -300x +3000$ .

Hence , this is the required solution .

4 0

2 years ago

Question 3 Determine the leg lengths between the two points: (6, -3) and (-2,4).

Shalnov [3]

Answer:

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:

\begin{gathered}a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2\end{gathered}

+(x−3)

=(x+3)

x^2+x^2-6x+9=x^2+6x+9x

−6x+9=x

+6x+9

→Subtract x^2-6x+9x

−6x+9 from both sides:

x^2 = 12xx

=12x

→Subtract 12x from both sides:

x^2 -12x=0x

−12x=0

→Factor out x:

x(x-12)=0x(x−12)=0

→Separate, set = to 0, and solve:

\begin{gathered}x = 0\\x -12=0\end{gathered}

x=0

x−12=0

→ Add 12 to both sides: x = 12x=12

→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.

→All we need to do is take 12, and plug it into the equation for the shortest leg.

\begin{gathered}x - 3=?\\12-3=9\end{gathered}

x−3=?

12−3=9

3 0

2 years ago

Quadrilateral ABCD is inscribed in this circle,

neonofarm [45]

Where’s the picture? i can’t answer it without seeing the measurements

3 0

1 year ago

What the slope and y intercept ? and how did you find it ?

EastWind [94]

Answer:

Slope: $m=4$

y-intercept: $b=-1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you can say that:

$y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3$

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

$m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4$

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when $x=0$ , $y=-1$

Therefore, the y-intercept is:

$b=-1$

7 0

2 years ago

a rectangle has a length of 9.00 inches with a width of 4.25 inches what is the area in square inches round to the correct signi

Helen [10]

Area = l x w
Area =9 x 4.25
A = 48.25
A≈ 48 in²

7 0

2 years ago

Solve the Pythagoras theoremx² = 5² + 3²​

Solve the Pythagoras theoremx² = 5² + 3²