Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )

6 × cos40° = x , then

x ≈ 4.6 ( to 1 dec. place ) → D

Answer:

-2/3

Step-by-step explanation

Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)

The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3

Answer:

Anything below 14.7

Step-by-step explanation:

Answer:

D. 3.7 × 10⁶

Step-by-step explanation:

3.7 × 10⁶

3700000

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]

SOLUTION :-

Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]

Answer:

Pie charts

Step-by-step explanation:

A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answers:

b = -10

c = 25

=================================================

Explanation:

If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.

Expand that out to get

(x-5)^2

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Then compare this to x^2 + bx + c to find

b = -10

c = 25

If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Answer:

36

Step-by-step explanation:

12 x 3 = 36

Answer:

a) 3y + x

b) a ^ 2 -2b

c) t ^ 4 + m / 2

d) xy - x ^ 2-y ^ 2

Step-by-step explanation:

a) o triplo de um número y adicionado a um número x ______ 3y + x ________

b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____

c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____

d) a diferença entre o produto do produto do número x e o número y e o quadrado do número

The____xy - x ^ 2-y ^ 2 _____

Answer:

Step-by-step explanation:

its (-1,-6)

this is your answer

Hi there!

[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]

Simply substitute x = 3 in the expression.

[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]

Questions can be asked through comment.

Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.

Hope this helps, and Happy Learning! :)

Answer:

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Step-by-step explanation:

The area of a right triangle is half of the product of the sides adjacent to the right angle.

Here the sides adjacent to the right angle are 6 yd and 4.5 yd.

Therefore the

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Answer:

Step-by-step explanation:

6 no

1.angle 2=92 degree(being vertically opposite angle)

2.angle 1+33+92=180(sum of interior angles of a triangle)

angle 1+125=180

angle 1=180-125

angle 1=55

3.angle 3+angle 2+115+90=360(sum of four angles is always 360 degree)

angle 3+92+205=360

angle 3+297=360

angle 3=360-297

angle 3=63

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm

Answer:

a. (-4,8)

Step-by-step explanation:

the two lines intersect at this point

Answer: 125

Step-by-step explanation: 5•5•5

Answer: $18.75

Step-by-step explanation: Each bag cost $3.75 individually.

Answer:

Step-by-step explanation:

a). Points on a number line are,

    x = -7, 1

    Number of small blocks between x = -7 and 1 is 8.

    Distance = 8

b). Difference between two points x = -7, 1 will be,

    1 - (-7) = 1 + 7

               = 8

    -7 - 1 = -8

c). Absolute value of each difference,

    |1 - (-7)| = 1 + 7

                = 8

    |-7 - 1| = |-8|

              = 8

Answer:

9

Step-by-step explanation:

I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.

Answer:

9 divided by 21

Step-by-step explanation:

17

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

4  Hope that helped

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

Answer:

x = 16

Step-by-step explanation:

We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:

(Angle 1) + (Angle 2) = 180°

(8x - 10) + (62) = 180°

8x + 52 = 180

8x = 180 - 52

8x = 128

x = 16

Therefore, x = 16

Hope this helps!

Answer:

37.5 meters

Step-by-step explanation:

depth of well : hours of digging

it dug to a point of -50 Meters in one day

= 50 meters : 24 hours

After 18 hours at how many meters would the rig

Let

x = depth that will be rigged

depth of well : hours of digging

= x meters : 18 hours

Equate the ratios

50 meters : 24 hours = x meters : 18 hours

50/24 = x/18

50 * 18 = 24 * x

900 = 24x

x = 900/24

x = 37.5

x = depth that will be rigged = 37.5 meters

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)