MATHEMATICS COLLEGE

Solve the equation by completing the square. X^2+10x+24=0

Answers

Answer 1
Answer:

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6

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Multiply. Write your answer in scientific notation. (2 x 10^7) (1 x 10^7)

Answers

2 x 10exponent 14 I think

How do I write an equation for line l in point-slope and slope-intercept form? L is parallel to y=3x

Answers

The required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Given line = y = 3x
The slope of the above line is,
m = 3
Line L parallel to line y = 3 x
so the slope of both lines will be the same,
Now,
The equation line passes through the point (4, -3),
Point slope form of the line,
y - y₁  = m (x - x₁)
y + 3 = 3 (x - 4)
y =3x - 12 -3
y = 3x - 15

Thus, the required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

 

Learn more about slopes here:
brainly.com/question/3605446

#SPJ2

Answer: y+4=3(x-2)

slope intercept form : y=3x-10

Step-by-step explanation:

While walking through a fictional forest, you encounter three trolls guarding a bridge. Each is either a knight, who always tells the truth, or a knave, who always lies. The trolls will not let you pass until you correctly identify each as either a knight or a knave. Each troll makes a single statement: Troll 1: If I am a knave, then there are exactly two knights here.
Troll 2: Troll 1 is lying.
Troll 3: Either we are all knaves or at least one of us is a knight.

Which troll is which?

Answers

Troll 1: Knight

Troll 2: Knave

Troll 3: Knight

The following information should be considered:

  • Troll 3's statement should be true since they can only be knights or knaves, till all of them are knaves, at least one must be a knight.
  • In the case when Troll 2 is a knight, so Troll 1 is knave, but if that were the case Troll 1's statement should be true, and since knaves do not tell the truth, this assumption is incorrect.
  • In the case when Troll 2 is a knave, Troll 1 is a knight and his statement can be disregarded.

Learn more: brainly.com/question/994316?referrer=searchResults

Answer:

Troll 1: Knight

Troll 2: Knave

Troll 3: Knight

Step-by-step explanation:

Troll 3's statement must be true because if they can only be knights or knaves, unless all of them are knaves, at least one must be a knight. Thus, Troll 3 is a knight.

If Troll 2 is a knight, then Troll 1 is knave, but if that were the case Troll 1's statement would be true, and since knaves do not tell the truth, this assumption is incorrect.

If Troll 2 is a knave, Troll 1 is a knight and his statement can be disregarded since it is conditioned to the possibility of him being a knave.

Therefore, Trolls 1 and 3 are knights and Troll 2 is a knave.

What is the result of adding these two equations?\begin{aligned} -5x-9y &= 3 \\\\ 5x-9y &= -2 \end{aligned}
−5x−9y
5x−9y
​

=3
=−2
​

Answers

Answer:

-18y=1

Step-by-step explanation:

Did it on Khan Academy

WILL RATE BRAINLIEST PLZ HELP

Answers

Answer:

if your question is to find the vertical height of D, ans is 5

Step-by-step explanation:

What is the standard form of two hundred fifty three thousandths

Answers

We are given number in words " two hundred fifty three thousandths".

Let us write it in number form: First we would write the number form of "two hundred fifty".

Two hundred fifty = 253.

Now, we need to write three thousandths.

Three thousandths =  .003

Now, we need to combine 253 and 0.003.

On combining we get 253.003.

Therefore, two hundred fifty three thousandths in standard form is 253.003.
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Materials: Tall clear drinking glass or vase At least four of the following liquids: Fresh water Salt water Vegetable oil Rubbing alcohol Dish soap Honey Corn syrup Milk Maple syrup At least three different small items of your choice, such as: Ping pong ball Small screw, bolt, or nut Popcorn kernel Peanut Blueberry Grape Cherry tomato Instructions: Select four liquids and predict how you think they compare in density by ranking them from most dense to least dense in the data table below. Measure out ¼ cup volume of each liquid, and pour them one at a time into the clear glass or vase. Record your observations in the lab worksheet. Gently add the first small item to the liquids, and record your observation of where it settles. Repeat with the other small items. Clean up all lab materials (the liquids can be poured down the sink), and complete the lab worksheet. Data Table: Prediction: Rank the four liquids from lowest density (top) to highest density (bottom) Observation: Rank how the four liquids really compare, from lowest density (top) to highest density (bottom) Observations: What objects did you place in the liquid, and where did each settle? Object Layer where it settled Observations and Conclusions: Define density, and describe how this activity helps you compare the density of four different liquids without making mass measurements. How did the observations compare to your predictions? Did any of the results surprise you? How would the density of water change if you measured out ½ cup instead of ¼ cup? Explain your answer in complete sentences.