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Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

Answer:

0.25 book/hour

Step-by-step explanation:

(1/6)/(2/3)=x/1

*Simplify the equation

1/4=x

*Rearrange the equation

x=1/4

x=0.25 book/hour

The value of the variable x can be determined using the circle theorem to

determine the angle formed by x.

The correct responses are;

Reasons:

(1) From circle theorem, we have;

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference

Which gives;

(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given

Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x

Equal arcs subtend equal angles at the center of a circle.

Therefore;

Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x

Angle at center = 2 × angle at circumference

Therefore;

x = 2 × 50° = 100°

x = 100°

(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given

By definition, we have;

Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center

According to circle theorem, we have;

Angle at the center = 2 × Angle at the circumference

Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;

y = 20°

[tex]\widehat {AB}[/tex] = 2·y

[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y

Therefore;

[tex]\widehat {AC}[/tex] = 6 × 20° = 120°

[tex]\widehat {AC}[/tex] = 120°

[tex]\widehat {AC}[/tex] = 2·x

Therefore;

2·x = 120°

[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]

x = 60°

Learn more circle theorems here:

https://brainly.com/question/16879446

Answer:

I don,t knowe wallh

Step-by-step explanation:

Answer:

2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52, 2.53 and 2.54 all round to 2.5 when being rounded to the nearest tenth.

Tenth = 0.1.

Hope that helps. x

Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

5x + 7x + 3x = total = 15x

3x = 24000

divide both sides by 3 to get x

x = 8000

15x = 8000*15 = 120000

this is the photo of a answer

Answer:

  see attached

Step-by-step explanation:

Both coefficients are divisors of the constant, so the intercepts are integer values. This makes it easy to graph the line using the x- and y-intercepts.

x-intercept

Set y=0 and you get ...

  x = 6

y-intercept

Set x=0 and you have ...

  3y = 6

  y = 2 . . . . divide by 3

__

The intercepts (6, 0) and (0, 2) are points on the line. Plot these points and draw the line through them.

Answer:

1/9 (2m - 16) = 1/3 (2m + 4)

expand

2/9m- 16/9 =2/3m +4/3

move m to other side

- 16/9 =2/3m (-2/9m) +4/3

simplify

- 16/9 =(6-2)/9m +4/3

- 16/9 =4/9m +4/3

move 4/3 to other side

- 16/9 -4/3 =4/9m

- 16/9 -12/9 =4/9m

-28/9 = 4/9m

multiply by 9

4m= -28

m= -7

Step-by-step explanation:

0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152

Answer:

A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.

Step-by-step explanation:

i have linked 1 picture of a ratio table example

hope this helped

Answer:

Step-by-step explanation:

f(x)=2x-3, for f(x)=9

2(9)-3

18-3=

Answer: Savers Lose

Step-by-step explanation: I had this question

The another number is divider to pi 22/7

The another number is divider to pi 22/7

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

Answer:

144°

96+48(further away angles)

Answer:

x = 144°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 48° + 96° = 144°

Answer:

because of the gravity of the earth

Answer:

5x+50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since Angle XYZ is equal to Angle YZX,

XY=XZ

The two triangles are congruent.So,

VW=YZ

XY=UV

XZ=UW

Thus;

XY=UV

XZ=UW

XZ=XY=UV=UW

So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm

Answer:

D

Step-by-step explanation:

As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]

Hope this helps.

Answer:

$28

Step-by-step explanation:

30% = 30/100 = 0.3

40 x 0.3 = 12

40 - 12 = $28

Answer:

8.8

Step-by-step explanation:

First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.

Hope This Helps:)

Answer: 8.8

Step-by-step explanation:

Therefore, the value of x is 7.2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

The first one.

Answer:

b

Step-by-step explanation:

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

Find more about equation at: https://brainly.com/question/2972832

Answer:

15360m3

Step-by-step explanation:

a=l*w*h

1.6m*80m*120m

=15360m3

Answer:

8 cm

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the length of ribbon by 11 to find the value of one part of the ratio

88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then

5 parts = 5 × 8 cm = 40 cm

6 parts = 6 × 8 cm = 48 cm

Then difference between lengths is 48 cm - 40 cm = 8 cm

longer piece is 8 cm longer than shortest piece.

Answer:

2.75 inches or 2 3/4 inches

Step-by-step explanation:

22 / 2 = 11

11 / 2 = 5.5

5.5 / 2 = 2.75