Answers
Answer:
6±√10
Step-by-step explanation:
x^2-12x+26=0
x= ± √10 +6
6±√10
The solutions of the given quadratic equation [tex]x^2 - 12x + 26 = 0[/tex] are;
x = 6 + √10 and x = 6 - √10.
To solve the quadratic equation [tex]x^2 - 12x + 26 = 0[/tex]
using completing the square method, follow the steps below.
Move the constant term to the right side of the equation
[tex]x^2 - 12x = -26[/tex]
To find the value that completes the square, divide the coefficient of x by 2 and square it.
[tex](-12/2)^2 = 36[/tex]
Add and subtract the value obtained in step 2 to the left side of the equation
[tex]x^2 - 12x + 36 - 36 = -26[/tex]
Simplify the left side of the equation by factoring the perfect square trinomial
[tex](x - 6)^2 - 36 = -26[/tex]
Add 36 to both sides of the equation to isolate the perfect square trinomial
[tex](x - 6)^2 = 10[/tex]
To Take the square root of both sides of the equation
x - 6 = ±√10
Solve for x
x = 6 ± √10
So, the solutions of the given quadratic equation [tex]x^2 - 12x + 26 = 0[/tex] are x = 6 + √10 and x = 6 - √10.
Learn more about equations here;
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Related Questions
What is the Pr me Factorization of 402?
Answers
Consider the equation below.
log.(x+3) = log2 (2+x)
Which system of equations can represent the equation?
Answers
Answer:
Option (1)
Step-by-step explanation:
[tex]\text{log}_4(x + 3)=\text{log}_2(2 + x)[/tex]
[tex]\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]
[tex]\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]
System of equations can be written as,
[tex]y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]
[tex]y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]
Therefore, system of equations given in Option (1) is the correct option.
Answer:
Option (A)
Step-by-step explanation:
Good Luck on your test
Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4
Answers
Answer:
B 4:6
Step-by-step explanation:
Which of these ratios is equivalent to 2:3?
2 : 3 = 2/3
Check all that applies
A 2:6
= 2/6
= 1/3
= 1 : 3
B 4:6
= 4/6
= 2/3
= 2 : 3
C 3:2
= 3/2
= 3 : 2
D 3:4
= 3/4
= 3 : 4
The correct answer is B 4 : 6
Identify which functions have complex roots by selecting the function names on the provided coordinate plane,
ibi
Answers
Answer: d and b i think
Step-by-step explanation:
The functions which have complex roots are b and d.
What is complex root?Complex roots are the imaginary root of polynomial functions. The complex roots are represented as α = a + ib, and β = c + id.
When the quadratic equation have a discriminant value less than zero will have imaginary roots.
Out of the given functions, a ,b, c, d , the function with complex roots are b and d.
Learn more about complex root.
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emily have 6 times more candy than heily but tom have 8 more candys than heily. in total theres 32 candys. How many candys every kid have?
Answers
Answer:
Step-by-step explanation:
If heily has 3 candies the emily has 6 times more than that = 3 x 6 = 18
And Tom has 8 candies more than heily = 3 + 8 = 11
Total = 3 + 18 + 11 = 32
A rectangular monitor’s size is measured diagonally from 1 corner to the opposite corner. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high, to the nearest centimeter?
Answers
Answer:
38cm
Step-by-step explanation:
Using the Pythagorean Theorem, it is found that the size of the monitor is of 38 centimetres.
------------------------
In a right triangle with legs [tex]l_1[/tex] and [tex]l_2[/tex] and hypotenuse h, these measures are related by the Pythagorean Theorem, given by:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem:
The diagonal of the rectangle, which is the size of the monitor, is the hypotenuse.The width of [tex]w = 30[/tex] and the length of [tex]l = 24[/tex] are the legs, thus:[tex]s^2 = l^2 + w^2[/tex]
[tex]s^2 = 24^2 + 30^2[/tex]
[tex]s = \sqrt{24^2 + 30^2}[/tex]
[tex]s = 38[/tex]
The size of the monitor is of 38 centimetres.
A similar problem is given at https://brainly.com/question/21691542
Which expression is equivalent to 4(2x - 3)
Answers
Answer:
8times -12
Step-by-step explanation:
hope that helps
Expression 4(2x - 3) will have an analogous expression of 12x - 12.
What is an expression?The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.
Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.
Given expression is 4(2x - 3 ). The equivalent expression will be solved as below,
E = 4(2x - 3 )
E = 8x - 12
Hence, 8x – 12 will be the equivalent expression.
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On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?
Your answer:
help o_o
Answers
Answer:
94%
Step-by-step explanation:
PLZZZ HELP WILL MARK BRAINLIEST What is the simplified value of the expression below?
4.5-59
0.2x3-02
A) -3.5
B) -2.4
C)2.4
D)3.5
Answers
Answer:
-3.5
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
Plz, Help me with this question!!!!
Answers
Answer:
option 1. 2/3x-2
Hope this helps! :)
Answer:
2/3x-2
Step-by-step explanation:
Triangle A is a right triangle. The hypotenuse is 10”. One side is 8”. Find the other side.
Answers
12.8. is answer by formula
Can S1 help pls and ty
Answers
Answer:
It is 52
Step-by-step explanation:
Hope this helped have an amazing day!
1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1
Answers
Answer:
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1\
Step-by-step explanation:
Which are shown on the diagram? Check all that apply.
Answers
Answer:
i think b,c,d and f
Step-by-step explanation:
I"LL GIVE BRAINIEST !!!!
Sam is going to participate in a fundraiser for the soccer team. They will sell hot dogs at $2 each. Initially it costs $26 to buy the hot dogs and buns.
1. What equation represents, y, the total amount of money they will make if they sell x hot dogs?
2. If the soccer team wants to make at least $100, how many hot dogs will they have to sell?
Answers
Answer:
1- y= x × 50, $100= $2 × 50
2- The team will need to sell about 50 hot dogs because one is $2 and 2 multiplied by 50 is 100.
Step-by-step explanation:
hope this helps good luck
Question 2
Remember that new marketing gig that Connie landed with Cosmic Coffee? Let's think about the promotion she was
excited to roll out:
Get your made-to-order coffee drink within 3 minutes or it's free!
Recall that it's known from a previous study that the average time it takes for a customer to receive their drink is
2 minutes, 39 seconds, with a standard deviation of 20 seconds.
Part A
Calculate the z-score associated with the value of 3 minutes. Convert 3 minutes and the mean to seconds before doing
the calculation.
Answers
9514 1404 393
Answer:
1.05
Step-by-step explanation:
Following instructions, we have ...
Z = (X -μ)/σ
Z = (180 -159)/20 = 21/20
Z = 1.05
The Z-score associated with the value 3 minutes is 1.05.
_____
Additional comment
About 14.7% of customers will be getting free coffee.
Answer:
Sample anwer from Edm and Plato
Step-by-step explanation:
Last one pleaseeeeeeeeeeeeee
Answers
Plot the point -3 1/2.
Answer:
-31/2
Step-by-step explanation:
have a nice day lol
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answers
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
Which sample size would give the
best estimate of the population
mean?
Answer choices:
18
30
45
60
Answers
10. A 1.5 gallon jug needs to be filled with water.
If the jug is filled one pint at a time, how
many pints are needed to fill the jug?
Answers
Answer:
12 Pints
Step-by-step explanation:
There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.
1.5 x 8
=12
. Distance from A to B is 2 inches in the drawing. If the scale is 1 in: 200
miles, find the actual distance from A To B
Answers
Answer:
400 miles
Step-by-step explanation:
If 1 inch is equal to 200 miles and the distance from A to B is 2 inches, multiply 200 × 2 to get 400
Answer:
The actual difference is 400 inches.
Step-by-step explanation:
To find the actual distance, you multiply the distance (which is 2 inches), To the scale 1:200. 2 x 200 = 400. Therefore the actual distance which is 400 inches.
If PQR = STU, find the measure of each part.
R
8 m
59°
P
7 m
g
75
T
U
Answers
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
free for all
gl
:) dun dun DUN
Answers
Answer:
Step-by-step explanation:
TYSM
HAVE A GREAT DAY
Answer:
Step-by-step explanation:
DRINK WATER! EAT SAY HEALTHY!!!!! <3
Can some one help me with Freshmen Algebra I kinda forgot how to do something and I need a refresher.
Answers
Answer:
Wheres the question?
Step-by-step explanation:
n2 = 39
HELP YALL ILL GIVE BRAINLY
Answers
Answer: 78
Step-by-step explanation: multiply 39 by 2
Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:
Answers
Answer:
[tex]Width = 5x + 1[/tex]
Step-by-step explanation:
Given
[tex]Area = 10x^2 + 5x[/tex]
[tex]Length = 5x[/tex]
Required (Missing)
Determine the Width?
Area is calculated as:
[tex]Area = Length * Width[/tex]
Substitute values for Area and Length
[tex]10x^2 + 5x = 5x * Width[/tex]
Factorize the right hand side
[tex]5x(5x + 1) = 5x * Width[/tex]
Divide both sides by 5x
[tex]5x + 1 = Width[/tex]
Hence, the width of the model is 5x + 1
Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.
Answers
Answer:
y = 1x + 4
Step-by-step explanation:
Gives you anything you need. It gives you the slope and the y intercept 4.
Estimate the quotient: 1628 ÷ 8 and its NOT 203
Answers
Answer:
203.5
hope this helps:)
Step-by-step explanation:
This is a picture of the answer choices!!
Answers
Answer:
I would choose B. Sorry if incorrect. Hope it helps. :)
Step-by-step explanation:
Usually the correct answer is B when I do assignments.
Answer:
B!!
Step-by-step explanation:
there you go bud!
12x-(5x+4y)-2y+3x-(2x-2y)
Answers
Answer:
8x-4y
Step-by-step explanation: