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3 years ago

Equation a: 3x y = 6 equation b: 6x - 2y = 4 equation c: y = 3x - 2 equation d: y = 1/3x 7 which two lines are perpendicular?

1 answer:

7 0

Perpendicular have slopes that multil to -1
for
ax+by=c
slope=-a/b

and

y=mx+b
m=slope

equations find slope
A. -3/1=-3
B. -6/-2=3
C. 3
D. 1/3

1/3 times -3=-1

A and D

C is the answer

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HElp plsssznsjdnnskzzzzzz !!!! !

algol [13]

F..k the hell you don't know

8 0

3 years ago

What is the domain of the function f(s)=7s +15? what is the range?

timama [110]

It's a linear function.

Domain of a linear function is the set of all real numbers.

If the slope of linear function is different than 0, then range is the set of all real numbers.

We have f(s) = 7s + 15. The slope = 7 ≠ 0. Therefore:

Answer: $Domain=\mathbb{R};\ Range=\mathbb{R}$

5 0

3 years ago

Mr. Lyle made a round trip between two cities that were 450 kilometers apart. On the return trip, he increased his average of ra

GREYUIT [131]

Answer:

45 km/h

50 km/h

Step-by-step explanation:

Distance traveled in one way = 450 km

Let x = Velocity when he was going to his destination in km/h

He traveled 5 km/h faster when he returned so his velocity was $x+5$

It took him 1 hour less when he returned so

$\dfrac{450}{x}-\dfrac{450}{x+5}=1\\\Rightarrow x^2+5x-2250=0\\\Rightarrow x=\frac{-5\pm \sqrt{5^2-4\times 1\times \left(-2250\right)}}{2\times 1}\\\Rightarrow x=45,-50$

So, velocity while going to his destination is 45 km/h

While returning his velocity was 45+5 = 50 km/h.

7 0

3 years ago

The box plot represents a data set . What is the range of the middle 50% of the data?

Andre45 [30]

Answer:

Step-by-step explanation:

The middle 50% of the data is represented by the box.

The range is the difference between the upper value and the lower value

upper value = 7 and lower value = 4

Range = 7 - 4 = 3

8 0

3 years ago

Read 2 more answers

Find the exact solutions of the equation in the interval [0, 2pi). (Enter your answers as a comma-separated list.)

Otrada [13]

there are different ways of solving this:

one way is the follwing:

cos^2(x) -sin^2(x) =cos (2x)

then, equation becomes:

cos (2x) -sin (x)=0

but sin(x) is also equivalent to : cos ((pi/2)-x),

so, the equation now is:

cos (2x) - cos ((pi/2)-x)=0 -------> cos (2x) = cos ((pi/2)-x) ---------> 2x=(pi/2) -x

but since it is an angle, the answer would be repeating so:

2x= 2k(pi) +((pi/2)-x)

3x= pi( 2k+1/2)

x= (pi/3) (2k+1/2)

for k=0, x= pi/6

for k=1, x= 5pi/6

for k=2, x= 3pi/2

<h2>so answers are : (pi/6,5pi/6,3pi/2)</h2>

7 0

2 years ago