In the derivation of the quadratic formula by completing the square, the equation
- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?
Answers
Answer:
2nd option is the correct answer.
Step-by-step explanation:
[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\
\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]
Answer:
B
Step-by-step explanation:
Related Questions
PLEASE HELP! SEE ATTACHMENT
it's algebra graphing
Answers
Answer:
a- g(x)= 4/5 x -3
b- slope is 4/5
c- vertical intercept is y= -3 when x=0
Step-by-step explanation:
Vertical compression : 4/5 f(x)
shift left you add f(x) +1
shift down you subtract : f(x)-1
the result is g(x) = 4/5 f(x) +1-4
The figure shown represents the pattern of a glass ceiling. Based on the markings shown, which triangles can be proven congruent? answers: A) ΔQNI ≅ ΔNPK by SSS B) ΔJKL ≅ ΔNKP by SSA C) ΔJKL ≅ ΔNKP by AAS D) ΔPNK ≅ ΔIKN by SAS
Answers
Answer:
D) ΔPNK ≅ ΔIKN by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.
Answer:
answer is C PNK=IKN by SAS
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2
Answers
Answer:
6m squared
Step-by-step explanation:
cause one of the faces is 2 times 3 and that is 6m squared
Answer:
8 m^2, 12 m^2, or 6 m^2
Step-by-step explanation:
4x2=8 m^2
4x3=12 m^2
2x3=6 m^2
It depends which face you want the area of
which inequality is represented by this graph? (0,1) (3,0)
Answers
Answer:
y ≤ -1/3x +1
Step-by-step explanation:
We have a solid line so the inequality has an equals sign.
The graph is shaded underneath so y is less than or equal to
y ≤ -1/3x +1
Answer:
Y<-1/3x+1
Step-by-step explanation:
The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line
Evaluate the following expression.
5-1
50
Answers
Step-by-step explanation:
Hope this is correct
Hope it helps you
select the postulate or theorem that you can use to conclude that the triangles are similar.
Answers
Answer:
First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Let's take two triangles that are similar:
Taking two triangles:
[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]
If
[tex]\angle A \displaystyle \cong \angle P[/tex]
and
[tex]\angle C \displaystyle \cong \angle R[/tex]
Then,
[tex]{\triangle ABC \sim \triangle PQR[/tex]
It is Angle-Angle (or AA) Theorem.
It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.
HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answers
Answer:
-1(2+x)
Step-by-step explanation:
in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x
Answer:
(-1)·2+(-1)·ₓ = -1 (2+x)
Step-by-step explanation:
distributive property: ab +ac = a(b+c)
in this case a=-1, b =2, c =x so
(-1)·2+(-1)·ₓ = -1 (2+x)
Allie and Samuel are rock climbing
*Allie climbs 5 1/2 meters in the first 1/4 hour.
*Samual climbs 14 1/4 meters in the first 3/4 hour.
each person's rate stays the same for the first hour they climb.
Part A
Which statements are true?
Select all that are Correct.
A. Samuel climbs at a rate of 19 hours per hour
B. Allie takes 1/22 of an hour to climb one meter.
C. Allie climbs at a rate of 1/22 meter per hour
D. Samuel climbs at a rate of 1/19 meter per hour
E. Samuel takes 1/19 of an hour to climb one meter
Answers
Answer:
A and E
Step-by-step explanation: I done this before
The statements that are true are:
Allie takes 1/22 of an hour to climb one meter.
Samuel takes 1/19 of an hour to climb one meter.
Options B and E are correct.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
For Allie.
She climbs 5(1/2) meters in 1/4 hour.
This means,
11/2 meters = 1/4 hour
22 meters = one hour
Rate = 22 meters per hour.
We can also say,
To climb one meter, she takes 1/22 of an hour.
For Samuel.
He climbs 14(1/4) meters in 3/4 hour,
This means,
57/4 meters = 3/4 hour
19 meters = one hour
Rate = 19 meters per hour.
We can also say,
To climb one meter, he takes 1/19 of an hour.
Thus,
Allie takes 1/22 of an hour to climb one meter is true.
Samuel takes 1/19 of an hour to climb one meter is true.
Learn more about fractions here:
https://brainly.com/question/24370499
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Can someone help me with these two questions?
Answers
Answer:
17) A(-1,1) B(-1,4) C(5,1)
18) (From origin moving rightwards)
A(0,0) B(a, 0) C(a,a) D(0,a)
Step-by-step explanation:
17) You just count the steps, how many steps left, right, up, or down
18) The first point is at the origin, so 0,0
The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.
The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.
The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.
2 Points
What is the slope of the line that contains the points in the table?
y
23
-5
-2
14
1
5
3
A. 3
B. -100
D. -3
Answers
Answer:
D. -3
Step-by-step explanation:
The table is:
x | y
-5 | 23
-2 | 14
1 | 5
To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:
slope = (y2 - y1)/(x2 - x1)
Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:
slope = (5 - 14)/(1 - (-2)) = -3
I don’t need you to explain just answer.
Answers
Y-intercept:
To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.
Slope:
To find the slope of the line, use the equation:
(y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.
Equation:
y = (y-intercept) + x(slope)
Need help AsAp WIll give brainlist!!!
Answers
Answer:
-5
Step-by-step explanation:
Score in first round = +15
Scores lost in second round = -30
Score in third round = 10
Total points = 15+-30+10= -5
A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis. Which statement describes the relationship between x and y? As x increases, y decreases. As x increases, y increases. As x increases, y increases and then decreases. As x increases, y decreases and then increases.
Answers
Answer:
The answer in letter form is C.
Step-by-step explanation:
he explains it in the other
The statement that best describes the relationship between x and y is:
"As x increases, y increases and then decreases".
What is the description of the data line forming a "vee" shape?The description of the data line forming a "vee" shape indicates that there is a turning point where the line changes direction. This means that the relationship between x and y is not a simple one where y always increases or always decreases as x increases. Instead, the relationship is more complex and involves both increasing and decreasing values of y as x increases.
At the start of the data line, where it begins above the x-axis and to the left of the y-axis, x is small and y is relatively large. As x increases, the data line descends below the x-axis to a point on the y-axis. This means that there is a point where y is at its minimum value, and this occurs when x is larger than the starting point. After this point, the data line ascends above the x-axis to the right of the y-axis, which means that y increases again as x increases.
Therefore, the statement that best describes the relationship between x and y is:
C. As x increases, y increases and then decreases.
Learn more about the graph of vee shape here:
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I need some help with this question.
Answers
which graph represents the function? NEED ANSWER ASAP 20 POINTS!!
Answers
Answer:
oof i have no clue
Step-by-step explanation:
sorry never learned this type of graphs good luck tho
what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.
Answers
Answer:
Step-by-step explanation:
r = 8 in
h = 5 in
Volume of cylinder = πr²h
= π * 8 * 8* 5
= 320π in³
Answer:
v=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Step-by-step explanation:
When Grace runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2 seconds. What percentage of races will her finishing time be faster than 79 seconds, to the nearest tenth?
Answers
Answer:
0.07
Step-by-step explanation:
(23+8x-x²)+(x³+x²+34-18x)
Answers
Answer:
x^3 -10x + 57
Step-by-step explanation:
Can someone help me please?
Answers
X=40
Equation:
24+18+8=50
There’s a right angle so subtract 90 from 50
Please help i always give brainliets and thanks
Please answer the following algebra question ASAP not too hard
Answers
Answer:
(3)
Step-by-step explanation:
(1), (2) and (4)
can be written as Fr= p1-p2, F and r are inversely proportional
(3) r is directly proportional with F which is opposite to the given formula
hence this is incorrect
Select the best answer for the question
9. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window?
A. 20 inches
fold
B. 15 inches
C. 60 inches
D. 40 inches
Answers
Answer:
the answer is20 inches
Step-by-step explanation:
a square has 4 sides so you divide the total of 80 by 4.
80÷4=20
welp lol <3 find the value of x that makes j||k
Answers
Answer: C. 42
Step-by-step explanation:
(3x + 3) is the same angle as 129.
So, you have to equal them to each other.
3x + 3 = 129
Now you solve.
Subtract 3 from each sides.
3x = 126
Divide 3 from each side.
x=42
Answer:
x = 42°
Step-by-step explanation:
J//k if the the two corresponding angles are equal
which means 3x + 3 = 129
solving 3x + 3 = 129
3x = 129 - 3
3x = 126
then
x = 126/3
= 42°
Change the mixed number into an improper faction 6 5/12
Answers
Answer:
77/12
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
12 × 6 = 72
Step 2
Add the answer from Step 1 to the numerator
72 + 5 = 77
Step 3
Write answer from Step 2 over the denominator
77/12
=12×6+512= 77/12
Answer:
77/12
Step-by-step explanation:
You multiply the whole number by the station's denominator. You will get 72.
Then you add the 72/12 and 5/12 together.
You will get 77/12.
The shape has an area of 60 square inches. Find the value of x.
Answers
Answer:
depende de del grueso de la cometa
Step-by-step explanation:
Answer:
x= 8in
Step-by-step explanation:
area of kite = diagonal1*diagonal2/2
60. = 15 *x. /2
->x = 60*2/15=8in
The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?
Answers
Answer: The correct answer is A
Step-by-step explanation:
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
Given that,
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex]
We have to determine,
What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
According to the question,
Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]
To find the translation in h(x) following all the steps given below.
Step1; The function h(x) is vertically stretched by 2.[tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]
Step2; Vertically shift upward by 9,[tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]
Step3; And a horizontal shift to the right 7 units,[tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]
Hence, The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
To know more about Function click the link given below.
https://brainly.com/question/14418346
Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?
Answers
Answer:
They are 30.93 in³ altogether.
Step-by-step explanation: V = 4/3 π r³
r = 2.7/2 = 1.35
π x 1.35 x 1.35 x 4/3 = 10.31 in³
10.31 x 3 = 30.93
In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?
plz help me
Answers
Answer:
(1-20%)x or (1-0.2)x or x-0.2x
Step-by-step explanation:
Players on a softball team are randomly given a uniform with a two-digit number on the back. The numbers range from 10 to 99. What is the probability that the number on the uniform will end in 0?
Answers
Answer:
1/10 or 10%
Step-by-step explanation:
99 possible numbers starting from 10
1,2,3,4,5,6,7,8,9 does not count
99-9=90
90 numbers total
possible numbers with a 0: 9
9/90 = 1/10 = 10%
In the diagram below, if
AEB=50°, find the measure of
AED.
Answers
Answer: 130ᴼ
Step-by-step explanation:
BD is a straight line so AEB and AED add to equal 180ᴼ
180 - 50 = 130
Answer:
AED = 130
Step-by-step explanation:
AEB and AED form a straight line so they add to 180 degrees
AEB + AED = 180
50 + AED = 180
Subtract 50 from each side
AED = 180-50
AED = 130
I think it is 15 but I want to see what you guys get and break it down please because sometimes people will say what they got and y'all be saying "yeah it's correct yeah" when it's really not.
Answers
Answer:
10 + 10 + 10 = 30
5 + 5 + 10 = 20
4 + 4 + 5 = 13
5 + 19 x 2 = 43
Step-by-step explanation:
Pair of shoes = 10
Boy = 5
2 snow cones = 4
One shoe = 5
boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43
I really hope this helps!
Answer:
30/3=10
two shoes is 10
20-10=10
10/2=5
each person is 5
13-5=8
8/2=4
Two cones is 4
2 (only 1 cone) x 19(two cones is 4 + each person 5 =9. 9 + 10 because of the two shoes = 19) = 38
38+5(only 1 shoe) = 43
Hope this helps
Step-by-step explanation: