If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?
Answer:
⁹/₄Step-by-step explanation:
The square is: a²-2ab+b²
We have
[tex]x^2-3x[/tex]
it's: [tex]x^2-2\cdot x\cdot\frac32[/tex]
so we need: [tex]\left(\frac32\right)^2=\frac94[/tex]
[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]
witch, of course, means no solution
Find the volume of the cone. Round your answer to the nearest tenth.
Answer:
look at the picture i sent
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
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Which expression is equivalent to (7x3)2 (x8)1/2 ?
A 14x10
B 49x10
C 14x7.
D 49x7
Answer:D
Step-by-step explanation:simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
What is the square root of 26.4 simplified?
Answer:
5.14
Step-by-step explanation:
The Square root of 26.4 is 5.14
Answer:
5.14
Step-by-step explanation:
In 3 548 729, what digit is in the ten thousands place?
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: because it is 5 spaces over
Will pay for answer
Triangle DEF has vertices at the coordinates D(1,-1), E (3,4), and F(4,2). Where does the median from E Intersect DF? Compute the
length of that median. (The use of the grid is optional.)
Need ASAP
Answer:
3.54
Step-by-step explanation:
let M be the midpoint of DF
M (x,y): x = (1+4)/2 = 2.5 y = (2 + -1)/2 = 0.5
Median from E intersect DF: EM = √(3 - 2.5)² + (4 - 0,5)²
EM = √0.5² + 3.5² = 3.54
x/5 + 1 = -2
how do i find x?
سلام. ایرانی ها بیان فالو بک بدیم
[tex] \sqrt[5]{1024} = \frac{?}{?}[/tex]
2^10/5 = 2^2 = 4
................................
Find the volume use pi as part of the equation round to nearest hundred
Answer:
V = 340.339
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h }{3}[/tex]
V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex] = about 340.3392 = 340.339
Answer:
340.17 ft.
Step-by-step explanation:
Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.
'r' means radius; 'h' means height; 'π' means pi.
The radius is 5; the height is 13.
πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)
340.166666667 ≈ 340.17
Therefore, the area of this circular cone is 340.17 ft.
Please help me I have been stuck for a while now
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
Which statement is not correct?
A. A 185° angle is an obtuse angle.
B. A 75° angle is an acute angle.
C. The terminal side of a 145º angle is in quadrant II.
D. A 225° angle is a reflex angle.
Step-by-step explanation:
A. A 185° angle is an obtuse angle
..................
Answer:
A 185° angle is an obtuse angle
Step-by-step explanation:
An obtuse angle is any angle that is greater than 90° and less than 180°
Therefore, a 185° angle is not obtuse
What is the value of x?
A.) 54
B.) 162
C.) 198
D.) 360
Answer:
54°
Step-by-step explanation:
(x+87°) + (x+81°) + (x+30°) = 360°
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
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On Saturday, Luke recorded the temperature on his outside thermometer three times. When he woke up, the temperature read 79°F. By noon, the temperature had risen 15°F. When Luke went to bed, it had dropped 12°F from his last reading at noon. What was the difference in temperature when Luke went to bed compared to when he woke up?\
Answer: 82 was the temperature at bedtime, 13 degree difference
Step-by-step explanation:
79 + 15 - 12
82, 13 difference
Find the slope of the line below . Enter your answer as a fraction or decimal. Use a slash mark ( / ) as the fraction bar if necessary
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line given two points by using the following
m = ( y2-y1)/(x2-x1)
= ( 3-0)/(7 - -8)
= ( 3-0)/(7+8)
= 3/15
= 1/5
Answer:
[tex]\displaystyle m = \frac{1}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-8, 0)
Point (7, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{3-0}{7--8}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{3}{15}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{5}[/tex]Move words to the blanks to make the sentence true.
Answer:
the volume if a freezer is the same amount of kitchen counter space inside it
Step-by-step explanation:
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer
In the coordinate plane, the point A(3,4) is translated to the point A(6,2). Under the same translation, the points B(1,6) and C(5,1) are translated to B and C, respectively. What are the coordinates of B and C.
Answer:
The coordinates of B' and C' are [tex]B'(x,y) = (4,4)[/tex] and [tex]C'(x,y) = (8, -1)[/tex].
Step-by-step explanation:
Vectorially speaking, the translation of a point is represented by the following operation:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Translated point.
[tex]T(x,y)[/tex] - Translation vector.
First, we need to calculate the translation vector after knowing that [tex]A(x,y) = (3,4)[/tex] and [tex]A'(x,y) = (6,2)[/tex]. That is:
[tex]T(x,y) = A'(x,y) - A(x,y)[/tex]
[tex]T(x,y) = (6,2) - (3,4)[/tex]
[tex]T(x,y) = (3, -2)[/tex]
Finally, we determine the coordinates of points B' and C':
[tex]B(x,y) = (1,6)[/tex], [tex]T(x,y) = (3, -2)[/tex]
[tex]B'(x,y) = (1,6) + (3,-2)[/tex]
[tex]B'(x,y) = (4,4)[/tex]
[tex]C(x,y) = (5,1)[/tex], [tex]T(x,y) = (3, -2)[/tex]
[tex]C'(x,y) = (5,1) + (3,-2)[/tex]
[tex]C'(x,y) = (8, -1)[/tex]
The coordinates of B' and C' are [tex]B'(x,y) = (4,4)[/tex] and [tex]C'(x,y) = (8, -1)[/tex].
Lucy, Sam, and Jim sent a total of 75 text messages over their cell phones during the weekend. Lucy sent 5 more messages than Sam. Jim sent 2
times as many messages as Lucy. How many messages did they each send?
82 message
Step-by-step explanation:
Lucy send 5 messages Jim send 2 messages.
5 plus 2 equals 7.
75+7=82
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U ITS 6TH GRADE GEOMETREY
Answer:
220 m²
Step-by-step explanation:
2(4 x 10) + 2(5 x 4) + 2(5 x 10) = 220
how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong
HELLLLLLPPPPPPPPPPPPP ASAPPPPPP PLSSSSS <3
Given three side lengths, how many triangles can be formed?
A. infinitely many
B. 1
C. 3
D. 2
Which polynomial when factored gives the zeros for the polynomial shown in the graph? -) A) x3 + 8x2 + 21x + 18 B) x3 - 2x2 - 9x + 18 x3 - 4x2 – 3x + 18 D) x3 - 8x2 + 21x - 18
The function of the polynomial graph when factored is (d) [tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]
From the question (see attachment), we have the following highlights:
The graph crosses the x-axis at x = 2.The graph touches the x-axis at x = 3This means that:
The graph has a multiplicity of 1 at x = 2The graph has a multiplicity of 2 at x = 3So, the function of the graph is:
[tex]f(x) = (x - 2)(x - 3)^2[/tex]
Expand the exponent
[tex]f(x) = (x - 2)(x^2 - 6x + 9)[/tex]
Expand
[tex]f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18[/tex]
Collect like terms
[tex]f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18[/tex]
[tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]
Hence, the function of the graph is (d)
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Find X (2/3 x) (x + 40)
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.