What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to
solve.

Answer:

10 (-61 + 102 i)

(3 + 4 i)^2 (2 + 4 i) (7 - 8 i)  

Step-by-step explanation:

(3 + 4 i)^2 (2 + 4 i) (7 - 8 i)

10 (-61 + 102 i)

r = 50 sqrt(565) (radio), θ = π - tan^(-1)(102/61) (ángulo)

50 sqrt(565) (cos(π - tan^(-1)(102/61))+i sin(π - tan^(-1)(102/61)))

50 sqrt(565) e^(i (π - tan^(-1)(102/61)))

x^2 + 1220 x + 1412500

Answer:

x = 2 is the solution to x + 1.5 = 3.5

Step-by-step explanation:

x + 1.5 = 3.5

   -1.5      -1.5

--------------------

x = 2

Answer:

C

Step-by-step explanation:

The equation that described the graph is x<-5

Answer:

2/5

Step-by-step explanation:

For probability, it's the

number of the type you want

_______________________

the total number of items

So the equation for this would be

10/10+10+5

= 10/25

= 2/5

The final answer is 2/5. Keep in mind that probability is a ratio of likeliness between things, so you CANNOT write it as a decimal!

I hope this helped! :D

9514 1404 393

Answer:

  [165, 175) meters

Step-by-step explanation:

The rule with respect to questions like this is that the bounds are ±1/2 of the place value of the least-significant digit. Here, the integer portion of the number has trailing zeros, and there is no decimal point or fractional part. Ordinarily, this combination of characteristics would signal that the trailing zeros are not significant, so the only significant digits are 1 and 7. The place value of the least significant digit is 10, so the bounds on the measurement are this number ±1/2(10) = ±5.

Of course, 175 rounds up to 180, so the upper bound is a limit, rather than an actual value. The height should be interpreted in this context as ...

  165 m ≤ height < 175 m

The lower and upper bounds are 165 m and 175 m, respectively.

_____

Additional comment

The best way to avoid any ambiguity as to whether trailing zeros are significant is to use scientific notation. If a zero in the ones place is significant, that is conventionally indicated by a decimal point: "170.". If scientific notation is used, the number would be reported as 1.70×10² to indicate the trailing zero is significant.

For reference, Earth's tallest tree is a redwood just under 116 meters high.

Answer:

Gain%=12.5%

Step-by-step explanation:

I ASSUMED COST PRICE=Rs.100

Answer:

the answer is 6

Step-by-step explanation:

well if the hypotnose is 12m the ø is 6

Answer:

Answer for g

Step-by-step explanation:

i think its this way because i dont know the question

Answer: The answer is D 2.9 years

Step-by-step explanation:

Answer:

3166.7

Step-by-step explanation:

V = πr²h

V = π * (12 km)² * 7 km

V ≈ 3166.7 km³

Hey there!

First, let's review the formula for finding a cylinder's volume.

Formula: [tex]\pi r^2h[/tex]

Our new equation would look like this: [tex]\pi[/tex] x [tex]12^{2}[/tex] x 7.

The original answer would be 3166.72539482, but the question states that it want it rounded to the nearest tenth. So, your answer would be 3166.7.

Hope this helps! Have a great day!

Answer:

10.35 miles per hr

Step-by-step explanation:

first convert ft into mi

then calculate the distance traveled in one min

multiply the answer by 60

then you get the answer

9514 1404 393

Answer:

  (x, y) ⇒ (y+1, 7-x) . . . rotation 90° CW about (4, 3)

or

  (x, y) ⇒ (y+1, x+1) . . . glide reflection across y=x; and translation (1, 1)

Step-by-step explanation:

The figure is apparently rotated 90° clockwise. This can be accomplished a couple of ways: (1) rotation 90° CW about some center; (2) reflection across the line y=x. Because of the symmetry of the figure, we cannot tell which of these is used.

Rotation

The center of rotation can be found by looking at the perpendicular bisectors of the segments joining a vertex and its image. One such segment has endpoints (1, 6) and (7, 6), so is a horizontal line with midpoint (4, 6). The perpendicular bisector of that is x=4.

Another segment joining a point with its image has endpoints (5, 6) and (7, 2). Its midpoint is (6, 4), and the slope of the bisector through that point is 1/2. It intersects the line x=4 at (4, 3), the center of rotation.

Rotation 90° CW about the origin is the transformation (x, y) ⇒ (y, -x), so rotation of (x, y) 90° about the point (4, 3) will be the transformation ...

  (x, y) ⇒ ((y -3) +4, (-(x -4) +3) = (y +1, 7 -x)

The transformation A to B is rotation 90° CW about (4, 3):

  (x, y) ⇒ (y +1, 7 -x).

__

Reflection

Simple reflection across the line y=x is the transformation (x, y) ⇒ (y, x). Applying that transformation, we see that an additional translation of 1 unit right and one unit up is required. The complete transformation is a "glide reflection", a reflection followed by a translation.

The transformation A to B is a glide reflection across the line y=x with a translation up 1 and right 1:

  (x, y) ⇒ (y +1, x +1).

Answer:

17.5ml- of 10 percent solution, 17.5ml- of 20 percent solution

Step-by-step explanation:

35:100*15=5.25- ml of alkali in the base solution

Suppose we need x ml of 10 percents solution and 35-x - of 20 percents.

Then The quantity of alkali in the first one (10 percents) is x/100*10=0.1x

when in the second one we have (35-x)/100*20= 7-0.2x of alkali

0.1x+7-0.2x=5.25

7-0.1x= 5.25

0.1x=1.75

x=17.5- 0f 10 percents

35-17.5=17.5 - of 20 percents

Answer:

7/5 is greater than 4/5

Answer:

[tex]\frac{4}{5}[/tex]  <  [tex]\frac{7}{5}[/tex]

Answer:

Step-by-step explanation:

The first one is true. There can't be any other choice.

a = 5959599949 b = 0 then a*b = 0 because b = 0

The Second one is also true, although you may stall trying to figure out what is meant.

Suppose the angle to start with is 30 degrees

There are two angles that are supplementary to this angle. They can only be 180 - 30 = 150 each. Therefore they are equal to each other. This happens because supplementary angles must add to 180 and nothing else.

The third one is false. You can think of states like Montana which has 3 syllables and Wyoming which also has 3. Texas has two. But guess what? Maine only has 1.

The last one is also false. If you square an even number, you get an even number. Add 1 and you get an odd number. 4^2 = 16 Add 1 you get 17. Seventeen is odd.

Answer:

A is correct

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

3x + 8x - 3 = -25

Move the -3 over to the other side. This will make the -3 into positive 3

3x + 8x = -25 + 3

Now add like terms

11x = -22

Divide both sides by 11 to get x by itself

x = -2

Answer:

x= -2

Step-by-step explanation:

First you combine the like terms 3x and 8x which then gives you 11x

then you'll have 11x-3=-25

add 3 to both sides and you have 11x=-22

divide the 11 on both sides

then you'll have x=-2

Answer:

Step-by-step explanation:

Area of base = 0.5×9×12 = 54 cm²

Hypotenuse of base = √(9²+12²) = 15

Lateral surface area = 10(9+12+15) = 360 cm²

Total surface area = 2×54 + 360 = 468 cm²

Answer:

y=-2x+10

Step-by-step explanation

Hope this helped

Answer:

Below

Step-by-step explanation:

Find the areas of the triangles on the sides

A = bh / 2

   = (3)(5) / 2

   = 7.5

There are 2 of these so it would just be 15

Now for the square

A = lw

   = (5)(6)

   = 30

Add em all up

Total area = 15 + 30

                 = 45 cm^2

Hope this helps!

Answer:

a49%, 1/2,0.55,3/5

b)0.2,1/4,27%,3/10

c)9/10,95%,0.99,97/100

d)30%,1/3,0.6,2/3

e)0.09,10%,11/100,0.125

Answer: 378 Boys

Explanation:

Total no. Inmates = 700

Living with polio = 25/100×700

= 175 inmates

Total girls = 30/100×700

= 210 Girls

30% of girls Having polio = 30/100×210

= 63 Girls

Total Boys = 700 - 210

= 490 Boys

Total boys with polio = 175 - 63

= 112 boys

Boys without polio = 490 - 112

= 378 boys

Must click thanks and mark brainliest

Answer:

51 miles

Step-by-step explanation:

hope it's clear and understandable

:)

The required expressions are both equations 1 and 2 as shown:

[tex]s + t = 90 ......... 1[/tex]

[tex]t<2s[/tex] .... 2

Complementary angles are angles that sum up to 90 degrees. For instance, and A and B are complementary if A + B = 90.

According to the question, if two complementary angles have measures of s and t then:

[tex]s + t = 90 ......... 1[/tex]

Twice of 's' is expressed as [tex]2s[/tex]

If t is less than twice s, this can be expressed as [tex]t<2s[/tex] .... 2

The required expressions are both equations 1 and 2 as shown:

[tex]s + t = 90 ......... 1[/tex]

[tex]t<2s[/tex] .... 2

Learn more on word problems leading to simultaneous equations here: https://brainly.com/question/14294864

Answer:

2nd option, rectangle B

Step-by-step explanation:

After reflexion, the figure will be at the left side of x=-5

Answer:

exact form : 3/2

decimal form 1.5

mixed number form 1 1/2

Answer:

(1,-2)

Step-by-step explanation:

P(-1,2) and (x, y) -> (x + 2, y - 4). Plugging in x and y in the transformation, the transformed points are (-1+2, 2-4) = (1,-2)

Step-by-step explanation:

KI=yf/p+n + yr/u

(p+n) KI - yrp/u -yrn/u = yf

pKI - yrp/u = yf - nKI + yrn/u

p(KI - yr/u) = yf - nKI + yrn/u

p = (1/KI-yr/u)(yf-nKI+yrn/u)

Answer:

10

Step-by-step explanation:

Make a ratio like

6 : 30

2 : x

Then cross multiple

6x = 60

Make x subject formula

x = 10

I hope it helped

Answer:

=4(6) + 4(X) + 4(3x)

=24+4x+12x

=24+16x