Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
Find the area of this triangle
Answer:
6km² sounds like a reasonable answer
Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on
Step-by-step explanation:
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
Hola, ¿cómo está tu día?
Answer:
Muy bien, y usted?
Answer:
es una pregunta o necesitas eso traducido al inglés ¿?
What are the answer please number which question you are answering
Answer:
7.
This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:
b + 52 = 90
b = 38.
Therefore, b is 38 degrees.
8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:
b + 117 = 180
b = 63
Therefore, b is 63 degrees.
9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:
b + 125 = 180
b = 55
Therefore, b is 55 degrees.
20 points pls answer
Four lines are shown in the graph below.
Which line has the slope with the greatest value?
A
line A
B
line B
C
line C
D
line D
Answer:
D
Step-by-step explanation:
A vertical line will have the steepest slope
help I don’t know the answer
I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.
I. The location of each vertex on a coordinate plane
II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.
So, by AAS criteria it would be congruent.
---------------------------
hope it helps...
have a great day!!
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
hope it helps you...
A quality control inspector at a clothing manufacturer
Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.
Express 6 : 12 in the form n : 1 . Give n as a decimal.
Answer:
6:1
Step-by-step explanation:
What is the median of the stem and lear plot
Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers
Step-by-step explanation:
Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Find the volume of the prism
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
hey! i’ll give brainliest pls help.
Answer:
hello there!
The correct option should be the second option and the fourth option!
Step-by-step explanation:
comets usually come from the kuiper belt, and the oort cloud.
anyways, hope this helped! qwq
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
I need help with math
Answer:
Its the second one
Step-by-step explanation:
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval
Answer:
The answer is "It would decrease, but not necessarily by 8%".
Step-by-step explanation:
They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.
30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches
Answer:
1100 Inches Squared
Step-by-step explanation:
Let the triangle on the top right be - (i)
Let the triangle on the top left be - (ii)
Let the bottom rectangle be - (iii)
1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)
=> 10 + 10
=> 20 in
Base = 20 in
Height = 30 in
Area = 1/2 * 20 * 30
=> 10 * 30
=> 300 in
Triangle (i) = (ii)
So, the area of triangle (ii)
=> 300 in
Area of rectangle,
Length * Breadth
=> 20 * 30
=> 500 in
Total arrow's area = 300 + 300 + 500 (i + ii + iii)
=> 1100
Therefore the total area of the shape = 1100 in squared.
Hope it helps :)
PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!
Answer:
1. How many packages are delivered each hour.
2. Find the correlating variable on the graph.
3. 105 packages
4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.
Help help yes plsssssssss
Someone please help me
Answer:
y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)
Step-by-step explanation:
these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.
Simplify this expression using the distributive property.
2(2z+9)
Answer:
[tex]\bold{4z+18}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
Now, let's use this property to solve our problem:
[tex]\bold{2(2z+9)}[/tex]
[tex]\bold{4z+18}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Hi, let me help you out!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In order to simplify this, we're going to use a property that's called the Distributive Property:
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
Where a, b, and c can be variables, constants, or both (like 4c).
Now let's simplify our expression:
[tex]\longrightarrow\tt{2(2z+9)}[/tex]
Multiply 2 times 2z and 9:
[tex]\longrightarrow\tt{4z+18}[/tex]
Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].
I hope this helps you! Have an awesome day.
If you need any explanation or clarification, just let me know! :)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
If two triangles are congruent, then all three___and all three___are congruent.
Answer:
Angles and Sides (or sides and angles, doesn't matter).
Step-by-step explanation:
Congruent triangles all have the same angle measures and side lengths.
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plz help me illl give brainlist 5.0 and thanks plz help rn !!!
Answer:
4+4+1
Step-by-step explanation:
Answer:
4 + 4 + 1
Step-by-step explanation:
4 + 4 + 1 = 9
4 + 5 = 9
They both equal up to 9
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]