Factor −1/2 out of −1/2x+6.

Answer:

(- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 3x - 2 → (1)

6 + y = - x → (2)

Substitute y = 3x - 2 into (2)

6 + 3x - 2 = - x

4 + 3x = - x ( add x to both sides )

4 + 4x = 0 ( subtract 4 from both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = 3(- 1) - 2 = - 3 - 2 = - 5

solution is (- 1, - 5 )

Answer:

1) False

2) True

3) a) True b) False

4) False

Step-by-step explanation:

1)

Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.

2)

A unit vector could be difinede as:

[tex]\vec{u}=\frac{\vec{v}}{|\vec{v}|}[/tex]

Terefore, [tex]\frac{1}{AB}\vec{AB}[/tex] is a unit vector. It is True.

3)    

a) If AB=-3AC

The points, A, B, and C are collinear, because all of them lie in the same line. True

b) Let's take the modulus in each side.

[tex]\vec{AB}=-3\vec{AC}[/tex]

[tex]|\vec{AB}|=|-3\vec{AC}|[/tex]

[tex]|\vec{AB}|=|-3||\vec{AC}|[/tex]

[tex]|\vec{AB}|=3|\vec{AC}|[/tex]

So it is False.

4)

If we put the vector AI = 3/2 AB into the first equation we will have:

[tex]2(-\frac{3}{2}\vec{AB})+3\vec{IB}=-3\vec{AB}+3\vec{IB}[/tex]

And we can not say that it is a cero vector, so it is False.

I hope it helps you!

Answer:  Its B did the quiz lol

Step-by-step explanation:

Answer: x = 0; x = 3

Step-by-step explanation:

x^2 - 3x = 0

1. x is a common factor, so factor it out

x(x - 3) = 0

2. set both factors equal to zero

x = 0

x - 3 = 0

3. final answer

x = 0

x = 3

Answer:

(2,3,4)

First you take the exponent and times 2 by two then you get four then you subtract the 4 from the 1 and you get three then group thennumbers that gotten used

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

Answer:

4k - 12

Step-by-step explanation:

k + k + k + k - 12

4k - 12

It's 4k because you're adding and not multiplying

If you were multiplying it would be k^4

Answer: infinitely many

Step-by-step explanation:

They are essentially the same line (the terms rearranging in the equation doesn't make a difference). Since the intersection point between lines is the solution to the system, they have infinitely many.

Answer:

251.2

Step-by-step explanation:

V=πr²h

3.14×4²×5

In a circle, the parts of the diagonals multiply to equal each other, so 6·4=2x.

2x = 24, x = 12.

x=100×15/75

x=1500/75

x=20% boys

Answer:

20%

Step-by-step explanation:

look at the formula I have used then you will understand good day

Answer:

m<FEG = 23°

m<FEH = 113°

Step-by-step explanation:

A diameter is always 180° to it's corresponding arc.

The circumference or full arc of a circle is 360°.

If EG is a diameter, Arc EG is 180°.

Given that Arc EF = 134°, and Arc EG = 180°.

Arc EF + Arc EG + Arc FG = 360°.

134° + 180° + Arc FG = 360°

314° + Arc FG = 360°

–314° –314°

Arc FG = 360° – 314° = 46°

The angle formed by the two chords that make the arc is ½ the measure of that Arc.

Meaning that m<feg which is the angle formed by arc FG is ½ 46° which means that m<feg = 23°.

Given that segment EH is tangent to point E.

The rule of a segment and a tangent is that the angle formed is also ½ the measure of the arc.

This means that m<FEH = ½(Arc FG + Arc EG)

m<FEH = ½(46° + 180°) = ½(226°) = 113°

Answer:

y = 1.4x + 5.6

Step-by-step explanation:

plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)

thus, y = 1.4x + 5.6

Answer:

36 cm2

Step-by-step explanation:

Answer:

36cm² your welcome

Answer:

A, C, D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since points B and G are both on the same horizontal line, the distance between them is just the horizontal distance between them which is the absolute value of the difference of their x-coordinates.

distance = |-3 - 1| = |-4| = 4

Answer: 4

Answer:

e = 31

Step-by-step explanation:

The triangle on the left has 2 congruent sides , so is isosceles with 2 congruent base angles of size

[tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62

Then the interior angle of the triangle on the right is

180° - 62° = 118°

The triangle on the right is also isosceles with 2 congruent base angles, then

e = [tex]\frac{180-118}{2}[/tex] = [tex]\frac{62}{2}[/tex] = 31

Answer:

96 ft is the perimeter of the figure.

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 9 + 12 + 30 = 96

Have a nice day!

Answer:

105

Step-by-step explanation:

9+9+9+9+9+9+30+21 = 105

HAVE A GREAT DAY SHAWTYYY

Answer:

The slope is -4.

Step-by-step explanation:

The formula to find slope is y2 - y1 / x2 - x1

Step 1: 9-1 / 6 - 8

Step 2: 8/-2

Step 3: Simplify: The slope is -4

Hope this helps!

Answer:

A, B, D, F

Step-by-step explanation:

i really hope this helps and is right :)

Answer:

Height of toy model liberty statue = 3 feet (Approx.)

Step-by-step explanation:

Given:

Height of real liberty statue = 152 feet

Scale factor = 2:101

Find:

Height of toy model liberty statue

Computation:

Scale factor = 2:101

1 feet toy model = 101 / 2 = 50.5 feet

Height of toy model liberty statue = Height of real liberty statue / Scale factor

Height of toy model liberty statue = 152 / 50.5

Height of toy model liberty statue = 3 feet (Approx.)

Answer:

3 good luck with the answer

Answer\

12,878,452,949,953 hours

plz leave a heart and 5 stars :-)

Answer:

I believe that X is 40, as 47 + 273 is 320, and if you subtract 320 from 360, you get 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

given

y = 19 - 2x

when x = 3 , y = 13

when x = 4 , y = 11

when x = 5 , y = 9

when x = 6 , y = 7

hope it helps :)

Answer: x is equal to 9

Answer:

(x−5)^2+(y+6)^2=9

Step-by-step explanation: