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DedPeter [7]
3 years ago
14

II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since th

e slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Mathematics
1 answer:
Xelga [282]3 years ago
6 0

Answer:

A

Step-by-step explanation:

You might be interested in
Sin =9/15 . Find tan 0
ELEN [110]

Answer:

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

sin =  \frac{opp.}{hyp.}

tan =  \frac{opp.}{adj.}

thus, find adj. side

by using Pythagoras theorem

{c }^{2} =   {a}^{2}  +  {b}^{2}

then,

let adj. side be a^

{a}^{2}  =  {c}^{2}  -  {b }^{2} \\  {a}^{2}   =  {15 }^{2}  -  {9}^{2}  \\  {a}^{2}  = 144 \\ a = 12

thus,

adj. side is 12

then,

tan of the angle = 9/12

3 0
3 years ago
17........................
Alex Ar [27]

Answer:

Step-by-step explanation:

First, add 3 to both sides:

-5 = -6∛(x²)

Next, divide both sides by -6, to isolate ∛(x²):

5/6 = ∛(x²)

Eliminate the radical by cubing both sides:

5³

---- = x²

6³

Finally, take the square root of both sides.  This will isolate x.  There will be two roots:  one +, the other -.

x = ±√(5³/6³)

This simplifies to:  ± (5/6)∛(5/6).

6 0
3 years ago
Read 2 more answers
Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian
777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\B=30^o

Applying the law of sines

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(A)}=\frac{2}{sin(30^o)}

sin(A)=1

so

A=90^o

Find the measure of angle C

In a right triangle

we know that

B+C=90^o ----> by complementary angles

B=30^o

therefore

C=60^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

substitute the given values

\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}

c=2\sqrt{3}\ units

therefore

The dimensions of the triangle are

A=90^o

B=30^o

C=60^o

a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units

<em>Second case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\A=30^o

Applying the law of sines

Find the measure of angle B

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(30^o)}=\frac{2}{sin(B)}

sin(B)=0.25

so

using a calculator

B=14.48^o

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

A=30^o\\B=14.48^o

therefore

30^o+14.48^o+C=180^o

C=135.52^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}

c=5.61\ units

therefore

The dimensions of the triangle are

A=30^o

B=14.48^o

C=135.52^o

a=4\ units\\b=2\ units\\c=5.61\ units

see the attached figure to better understand the problem

4 0
3 years ago
Is 16to 14 and 64to60 equivalent
stiks02 [169]
NO. They are not.

We can prove this by turning those numbers into fractions:

16 / 14 = 1.1428  ;  64 / 60 = 1.0667

Or simply:

64 / 16 = 4
60 / 14 = 4.29

To get the equivalent of 16 to 14; we must multiply both numbers by 4.

16 * 4 = 64
14 * 4 = 56

The equivalent of 16 to 14 is 64 to 56.

3 0
3 years ago
Please help
Mariulka [41]

Answer:

-2 <u>12</u>

-1 <u>7</u>

0 <u>2</u>

1 <u>-3</u>

2 <u>-8</u>

Step-by-step explanation:

[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)

-2 ___

f(-2) = 2−5x

f(-2) = 2−5(-2)

f(-2) = 2 + 10

f(-2) = 12

-1 ___

f(-1) = 2−5x

f(-1) = 2−5(-1)

f(-1) = 2 + 5

f(-1) = 7

0 ___

f(0) = 2−5x

f(0) = 2−5(0)

f(0) = 2

1 ___

f(1) = 2−5x

f(1) = 2−5(1)

f(1) = 2 - 5

f(1) = -3

2 ___

f(2) = 2−5x

f(2) = 2−5(2)

f(2) = 2−5(2)

f(2) = 2−10

f(2) = -8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

4 0
2 years ago
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