Amelie found the solutions of the equation x^2-x=42 to be 6 and -7. Explain why this answer is incorrect. Then, find the correct solutions.

Answer:

A, D, & E

Step-by-step explanation:

If you plug in the coordinates, they prove to be valid

(0, -1)

2(0) - 1

0 - 1 = -1

(15, 29)

2(15) - 1

30 - 1 = 29

(2, 3)

2(2) - 1

4 - 1 = 3

(-0.5, -2)

2(-0.5) - 1

-1 - 1 = -2

And so on. Just plug them in and see if it is correct.

Answer:

d=-4.......,...........

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

If,

c - d = 7

c = 3 - 8i

The value of  d is -4 - 8i

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

2x + 6 is an equation.

We have,

Two equations:

c - d = 7 _______(1)

c = 3 - 8i _______(2)

We are using the substitution method to solve this problem.

We make the value of a variable from an equation and substitute the value of that variable in the other equation.

From (1) we get,

c - d = 7

Add d on both sides.

c - d + d = 7 + d

c = 7 + d ______(3)

Put (3) on (2) we get,

7 + d = 3 - 8i

Subtract 7 on both sides.

7 + d - 7 = 3 - 8i - 7

d = -4 - 8i

Thus,

If,

c - d = 7

c = 3 - 8i

The value of  d is -4 - 8i

Learn more about equations here:

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The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

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Answer:

slope = 9 , y- intercept = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 9x - 3 ← is in slope- intercept form

with slope m = 9 and y- intercept c = - 3

Answer: C. 85°

Step-by-step explanation:

Answer:

I look lik dis almost dreads and then them types of braces and my eye brows look like that and I got a tattoo on my face but my eyes are blue and I have contacts so no more glasses

Answer:

(½x+½y)²=6

Step-by-step explanation:

x^2 + y^2 = 14, xy=5

(A+B)^2=A^2 +2AB+B^2... (*)

(1/2x+1/2y)^2 =(*)

(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =

1/4x^2 +1/2xy+1/4y^2=

1/4(x^2 +y^2) +1/2(xy)=

1/4*14+1/2*5=

14/4+5/2=

14/4+10/4=

24/4=6

let me know if I'm wrong.

( 1/2x +1/2y)²

= { ( x + y )/ 2xy }²

= ( x² + 2xy + y² )/4(xy)² —(1)

As we know that x² + y² = 14 — (2)

and xy = 5 —(3)

So, substitute the value of equation 2 and 3 in equation 1,

= ( x² + 2xy + y²)/4(xy)²

=( 14 + 2*5)/(4*5²)

= 24/(4*25)

= 6/25.

Answer:

28

Step-by-step explanation:

7x4

Answer:

249 inches

Step-by-step explanation:

a cube is equal on all sides so if one side is 7 all sides are 7, if you multiply 7 by 7 you get 49 but that's just one face of the cube, there are 6 faces on a cube so 49 x 6 is 249

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The integral of x is :

Answer:

8

Explaining :

4/12 is 8

8+4=12

12-4=8

I hope it work :)

Answer:

I would say A.

Step-by-step explanation:

The pattern is blue, red, red, blue, blue, red, so then another red?

I apologize if im incorrect

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Have a nice rest of your day

#Nova

Answer:

442

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you (:                                                                  

I think it's a

Step-by-step explanation:

associative property means you can change what ever is in the ()

Answer:

Step-by-step explanation:

Answer:-5

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-2 - 7

Picture a number line in your head, you begin at negative 2, which is less than 0 and you further go left 7 points, so you will end at -9

Your answer is: -14k-14

Step-by-step explanation:

5(-3.4k-7)+(3k+21)

_17k-35+3k+21

-14k-35+21

-14k-14

Answer:

5(-3.4k-7)+(3k+21)

_17k-35+3k+21

-14k-35+21

-14k-14

Your answer is: -14k-14

Answer:

Step-by-step explanation:

Use PEDMAS

125 ÷ (-5) * (-4) - 100 =  (-25) * (-4) - 100

                                  = 100 - 100

                                  = 0

Answer:

$936

Step-by-step explanation:

there are about 52 weeks in a year

18*52=936

Hope this helps!

Answer:

30* or A

Step-by-step explanation:

If the triangles are congruent, corresponding angles and sides are equal.

So angle c is 60* because it is opposite of side x.

angle b is 180-90-60 because all angles add up to 180 in a triangle.

Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

Answer:

m2 will be 88

m3 will be 92

m1 will also be 92

Step-by-step explanation:

Opposite angles are equal and 3 and 4 are add upto 180

Answer:

I think it might be 30 if the each cup and saucer is counted as 1.

Step-by-step explanation:

5 x 3 = 15 x 2 = 30

10- 9

11- 5

12- 1

13- 10

14- 3

15- 7

16- 3

17- 3

18- 6

Answer:

LN = 37

Step-by-step explanation:

The Segment Addition Postulate tells us that LM+MN = LN

Answer:

1/10

0.1

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

To find the slope, you use the rise/run method.

To get from one point to another, you would move 1 unit down (rise) and 2 units to the right (left)

The slope would be -1/2

Hope this helps! Brainliest would be really appreciated!

Answer:

Angle Z is 70 degrees

Step-by-step explanation:

The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.

180-45-65 = 180-110 = 70