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3 years ago

Line f has a slope of -3. What is the slope of the line that is perpendicular to line f?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

slope of line f (m) = -3

Slope of perpendicular line to f m1 = -1/m = -1/-3 = 1/3

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Find the missing length to the nearest tenth. Right Triangle 6 m C 16 m

nikitadnepr [17]

Answer:

17.1 meters

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse.

6 and 16 are the legs, because they form the right angle. c is the hypotenuse because it is opposite the right angle.

$6^2+16^2=c^2$

Evaluate the exponents.

6^2= 6*6= 36

16^2= 16*16= 256

$36+256=c^2$

Add 36 and 256.

$292=c^2$

Since c is being squared, take the square root of both sides of the equation. The exponent and square root will cancel and leave c by itself

$\sqrt{292} =\sqrt{c^2}$

$\sqrt{292}=c$

$17.0880075=c$

Round to the nearest tenth. The 8 in the hundredeth place tells us to roung the 0 in the tenth place up to a 1.

$17.1=c$

c= 17.1 m

The missing length, or the hyptenuse is 17.1 meters.

7 0

3 years ago

Reflect the given triangle over the line y=x. [3 6 3 -3 3 3]

iragen [17]

If reflected over y = x

then use

$\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]$

=====================

$\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right]$

similar as (x, y) → (y, x)

multiply the matrixes to get the final answer

$\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right]$

$\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right]$

3 0

2 years ago

Please help! 3rd grade homework is hard!

Assoli18 [71]

(6×5) + (6×2) = 6×7

It works if you think about it like this:
5 sixes + 2 sixes = (5 + 2) sixes = 7 sixes

This is an example of the distributive property.
To put it simply, we're applying the same multiplication (×6) to two different things which are being added together (5+2).

Here's another example of the distributive property:
2×(3+4) = 2×3 + 2×4

4 0

3 years ago

Read 2 more answers

Pls help pls pls pls pls

andriy [413]

5/? = 15/45

15/3 / 45/3

5/15

? = 15

8 0

2 years ago

Read 2 more answers

Vector u has its initial point at (14, -6) and its terminal point at (-4, 7). Write the component form of u and find its magnitu

Thepotemich [5.8K]

$\bf u\implies \begin{cases} (14,-6)\\ (-4,7) \end{cases}\implies (-4-14)~,~(7-(-6)) \\\\\\ (-18) ~,~(7+6)\implies \stackrel{\textit{component form}}{\ \textless \ -18~,~13\ \textgreater \ } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ||u||=\sqrt{a^2+b^2}\implies ||u||=\sqrt{(-18)^2+13^2}\implies ||u||=\sqrt{493}$

3 0

3 years ago