What is a²+3a-38=0. How do you work this out Please show steps.

Answer:

No.  The correct answer is x = 4i.  The mistake is made on the penultimate step where "Mark" squares both sides, eliminating the negative sign.

Step-by-step explanation:

We can see that the answer is incorrect, because if we plug it back into the original equation, we get:

[tex]8 - \sqrt{x} = 10\\8 - \sqrt{4} = 10\\8 - 2 = 10\\6 = 10[/tex]

This of course is obviously incorrect.  The mistake is made in squaring away the negative sign in solving the problem.  An easier way to look at this is to get rid of √x, and substitute it for "n", and see what we get:

[tex]8 - n = 10\\-8 + n = -10\\n = -2[/tex]

If we swap √x back in, we get:

√x = -2

x = 4i

let's solve it correctly:

[tex]8 - \sqrt{x} = 10\\-\sqrt{x} = 10 - 8\\-\sqrt{x} = 2\\\sqrt{x} = -2\\x = 4i[/tex]

Answer: bros really trnya use brainly as a d8 ap

Step-by-step explanation:

Answer:

the answer is third one and last one hope it helps

Answer: 180

6x30=180 so you that means if you divide 180 by 6, that would equal 30

Answer:

84

Step-by-step explanation:

Answer:

D. 6.28

Step-by-step explanation:

C= 2(3.14) R

R= D/2

2/2-1

R=1

C=2(3.14)1 (DON'T REALLY NEED THE !)

6.28

Answer:

Step-by-step explanation:

-8x + 32 = -8 - 16

32 + 8 + 16 = 8x

4 + 1 + 2 = x

x = 7

Answer:

x=7

Step-by-step explanation:

-8x + 32 = -8 -16

First evaluate -8-16

-8x+32=-24<----

Subtract 32 on both sides

- 8x= - 56<----

divide by 8 on both sides

x=7

Answer:

area = 81.25 in²

Step-by-step explanation:

area = 1/2(5)(3.25)(10) = 81.25 in²

Answer:

V = 452.2 in³

Step-by-step explanation:

V = Pi(r²)h

V = 3.14(6²)(4)

V = 452.16 in³

The length of LJ is 18 feet.

'An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees.'

According to the the given problem,

If we draw a dotted line from H to P and from J to P,

∠HKP = ∠JLP (Similarity of triangles)

HP = JP

KP = LP

⇒ ΔHKP ≅ ΔJLP

⇒ KH = LJ

Now, joining G and P,

GP = HP (radius of the circle)

PM is perpendicular to GH.

⇒ PM equally divides GH .

⇒ KH = GK = [tex]\frac{1}{2}[/tex] of GH

          = [tex]\frac{1}{2}[/tex] × 36

          = 18 feet

Hence, we can conclude that the length of LJ is 18 feet.

Learn more about arc measure of a circle here:

https://brainly.com/question/12477901

#SPJ2

Answer: 5

Step-by-step explanation:

Answer:

58.33

Step-by-step explanation:

Answer:

For number 1, the answer is 90°, 55°, and 35°

Step-by-step explanation:

A triangle always equals 180 so you have to subtract the other angles to find the third one. Since you already know that one angle is 35° and the other is 90° you can do 180-90-35 and that equals 55 so those three are your three angle measures

For the show your work part of #1 write:

180°-90°-35°=55°

Answer:

none of the lines are parallel or perpendicular to each other

Step-by-step explanation:

which lines are parallel or perpendicular? line A:(-4,-1)(2,-2)line B:(-5,-3)(5,1) line C:(-2,-3)(2,-1)​

in order to know which lines are parallel or perpendicular, we need to find the slopes of the lines given

Slope M  = y2-y1/x2-x1

For line A;

Ma = -2+1/2+4

Ma = -1/6

Slope of line A is -1/6

For line B;

Mb = 1 -(-3)/5-(-5)

Mb = 1+3/5+5

Mb = 4/10

Mb = 2/5

The slope pf line B is 2/5

For line C;

Mc = -1-(-3)/2-(-2)

Mc = -1+3/2+2

Mc = 2/4

Mc = 1/2

Hence the slope of line C is 1/2

Since all the slopes are different , hence none of the lines are parallel or perpendicular

Answer: Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

21 is the answer for 18x +3

Step-by-step explanation:

18x + 3

x=3+18

x=21

Answer:

13 + d = 21

bc 13 + what  ever amount should equal to 21

Step-by-step explanation:

Answer:

13+ d = 21

Step-by-step explanation:

sammy already had 13 andellie gave her enough to make her have 21. so 13 plus 8 = 21. so d = 8

Answer:

86

Step-by-step explanation:

kahn academy

Answer:

.86 is the Khan Academy Answer

Step-by-step explanation:

1.476 on a z-table makes a .93 z-score. Since 1 - .93 = .7, there is a .7 tail on each side of the distribution. .7 + .7 = .14 and 1 - .14 = .86. Therefore, Emer has a .86 confidence interval.

Answer:

5x+3. Explanation: (f+g)(x)=f( x)+g(x). =2x−6+3x+9=5x+3

7) 100in²

8) 56cm²

9) 51in²

Have a great day <3

Answer:

7. 100

8. 56

9. 51

Step-by-step explanation:

Area of triangle: Length × breadth ÷ 2

Area of rectangle/square: Length × breadth

7. Area of shaded region = (20 × 10) - (20 × 10 ÷ 2)

                                          = 100

8. Area of shaded region = (8 × 8) - (4 × 4 ÷ 2)

                                          = 56

9. Area of shaded region = (15 × 5) - (3 × 8)

                                          = 51

Answer:

2 game, $12

Step-by-step explanation:

Given data

Showplace Lanes charges

$4.50 per game as well as

$3 for shoe rental

Let the number of games be x

let the total charge for x games be y

y= 4.5x+3-----------1

Westgate Bowling charges

$4 per game and $4 for

shoe rental

Let the number of games be x

let the total charge for x games be y

y= 4x+4-----------2

Equate 1 and 2

4.5x+3= 4x+4

collect like terms

4.5x-4x= 4-3

0.5x= 1

divide both sides by 0.5

x= 1/0.5

x= 2 games

put x= 2 in equation 1 or 2

y= 4x+4-----------2

y= 4*2+4

y= 8+4

y= $12

Answer:

The temp at sunset was 16 degrees

Step-by-step explanation:

-2 + 18 = 16

Answer:

A. 16⁰F

Explanation:

-2 + 18 = 16

diameter (d)= 2r=2*4=8ft

Step-by-step explanation:

circumference =2πr

=2 *4*22/7

=25.14 ft

also

Area=πr^2

=4^2 *22/7

50 .28 sq ft

Answer:

Diameter: 8ft

circumference: 25.12

area: 50.24 square feet

Step-by-step explanation:

radius is 4ft

Diameter is 8ft

circumference 2×pi×radius

2×3.14×4

25.12

area (pi)radius^2

3.14×(4)^2

3.14×(16)

50.24

50 square feet

Answer:

The sequence is a geometric sequence and the common ratio is 4.

Step-by-step explanation:

Because the difference between two pairs of adjacent numbers are not constant, the sequence has to be a geometric sequence. To find the ratio of a geometric sequence, just divide any of the two adjacent numbers. That would give you a ratio of 4 as your answer.

Answer:

-2m

Step-by-step explanation:

-6m + 4m

Combine like terms by performing the operation between the coefficients. In this case, one must add the different coefficients, yet since one of the coefficients is negative, then adding the two coefficients is the same as subtracting the two terms.

-6m + 4m

= -2m

Answer:

Step-by-step explanation:

Part A

Area of the deck = Area of rectangle A + Area of rectangle B

                            = (12 × 20) + (34 × 8)

                            = 240 + 272

                            = 512 square feet

Part B

∵ 200 square feet of the deck is covered by 1 can of stain

∴ 1 square feet of deck will be covered by the can of stain = [tex]\frac{1}{200}[/tex]

∴ 512 square feet will be covered by the stain = [tex]\frac{512}{200}[/tex]

                                                                             = 2.56

                                                                             ≈ 3

Therefore, 3 cans of stains will cover the entire deck.

Answer:

The expression is not defined in a set of real numbers.

The square root of a negative number is not defined in the set of real numbers.