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3 years ago

Use the Pythagorean theorem to classify the triangle

Mathematics

2 answers:

bazaltina [42]3 years ago

8 0

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Digiron [165]3 years ago

7 0

Answer:

they are equal

Step-by-step explanation:

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A student draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-

faust18 [17]

Answer:

The positive difference between the a values is 0.5

Step-by-step explanation:

we know that

Both parabolas cross the x axis at (-4,0) and (6,0)

The general equation is

$y=a(x+4)(x-6)$

Find the value of a in the first parabola

The y-intercept is (0,-12)

For $x=0, y=-12$

substitute

$y=a(x+4)(x-6)$

$-12=a(0+4)(0-6)$

$-12=a(-24)$

$a=0.5$

Find the value of a in the second parabola

The y-intercept is (0,-24)

For $x=0, y=-24$

substitute

$y=a(x+4)(x-6)$

$-24=a(0+4)(0-6)$

$-24=a(-24)$

$a=1$

Find the positive difference between the a values for the two functions

$1-0.5=0.5$

5 0

3 years ago

Read 2 more answers

The number 18 is which percent of 15?

svetoff [14.1K]

3/15=0.2
0.2+1=1.2
1.2*100=120
120%

Hope this helps :)

5 0

3 years ago

Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down,

jeka94

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)

If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

6 0

3 years ago

33 points my notes question part points submissions used use stokes' theorem to evaluate s curl f · ds. f(x, y, z) = zeyi + x co

expeople1 [14]

Answer:

f x y z 4y cos (< x >) y x sin z z xy k s is the hemisphere x2 y2 z2 25 z ≥ 0 oriented upward

use stokes theorem to evaluate f dr

s is the hemisphere x 2 y 2 z 2 16

consists of the top and the four sides but not the bottom of the cube with vertices oriented outward

stokes theorem triangle with vertices

f xyz x y 2 i y z 2 j z x 2 k where k is the triangle with vertices

∫ f ∙ dr c when f x y z 2xi 3zj xk and c is the triangle with vertices 0 0 0 1 1 1 and 0 0 2

s is the part of the paraboloid z 1 − x2 − y2 that lies above the xy plane oriented upward

3 0

3 years ago

0.551 as a percent Thank you

Bingel [31]

Answer:

55.1%

Step-by-step explanation:

When a number is a percent, then one mutliplies it by 100, because a percent is a way of representing a value out of 100. Therefore, 0.551 as a percent is;

0.551 * 100

55.1%

5 0

3 years ago