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Step-by-step explanation:How can we factor 5x^2 + 26x - 24 = 0 using the completing the square method?
Let's solve your equation step-by-step.
[tex] \bold{Given \: Equation: \color{brown} 5x²+26x-24=0}[/tex]
First, add 24 to both sides.
[tex] \bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}[/tex][tex] \bold{ \implies \: 5x²+26x = 24 }[/tex]Since the coefficient of 5x² is 5, divide both sides by 5.
[tex] \bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\ [/tex][tex] \bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\ [/tex]The coefficient of 26/5x is 26/5. So, let b=26/5.
Then we need to add (b/2)²=169/25 to both sides to complete the square.
Add 169/25 to both sides.
[tex] \bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\ [/tex][tex] \bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\ [/tex]Factor the left side.
[tex] \bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\ [/tex]
Take square root.
[tex] \bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\ [/tex]Then, add (-13)/5 to both sides.
[tex] \bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\ [/tex][tex] \bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\ [/tex][tex] \implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\ [/tex]_______________❖_______________
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth.
The probability of spinning a 4, flipping heads, then spinning a 7 is ___
Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel in miles per hour? an exact answer not an estimate, and explain your reasoning
Answer:
miles = 63.047.. miles. So Seth travels about 63 miles/hr.
Answer:
Seth travels 63 miles/hr if you round the exact number being 63.047 miles/hr
8. Which has the same value as 3.652 x 10^-4?
A. 0003652
C. 36,520,000
D. 36,520
B. .00003652
Answer:
B..00003652
no explanation :))
The same value as 3.652 x 10⁻⁴ is 0.0003652.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression, 3.652 x 10⁻⁴.
Simplifying,
3.652 x 10⁻⁴,
= 3.652 x 1/10000
= 0.0003652
Therefore, the value of the expression is 0.0003652.
To learn more about the equivalent expression;
https://brainly.com/question/28170201
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Hello, I'm not sure if this is correct, so I need help making sure. If its incorrect please explain why and how to solve it.
Answer:
Its D
Step-by-step explanation:
The answers you chose are the diameter, HF goes across the entire circle and so does IG, however EF, EG, EH, and EI are the radii
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? 15 POINTS!
Help?
Which 2 data sets appear to be the most similar?
Answer:
I would say B-C too.
Step-by-step explanation:
im pretty sure.
Answer:
B and C
Step-by-step explanation:
The numbers have the closets matches to each other.
PLEASE HELP AND IF YOU KNOW THE ANSWER LET ME KNOW 20 POINTS
Answer: Question 9 I think is 36 and For question 6 is 17? I’m not sure
help me with this fast
This week at Downtown Co-op shredded cheese is on sale for $4.97 for 250 grams. What is the unit price per hundred grams? (answer with the entire unit rate - $0.000 / 100 g rounded to the nearest thousandth leaving spaces as indicated in the example here.)
Answer:
$1.20 for each unit
Step-by-step explanation:
Answer:
$1.20 for each unit
Step-by-step explanation:
Hope this helps
HELP PLEASE. I don't understand this
HEEEELPPPPPP
If A ≠ 0 and B = 0 in a linear equation of the form Ax + By = C, then which statement is also true?
A. The graph of this equation is a horizontal line.
B. The graph of this equation is a vertical line.
C. The graph of this equation is a slanted line.
D. The graph of this equation can be any straight line.
Answer:
D. The graph of this equation can be any straight line.
Step-by-step explanation:
Because A ≠ 0, it can be any number above or below 0.
Because B = 0, the line can only be a horizontal line. The line can be at any point on a graph, though, because A does not have any specific number that it equates to.
I hope this helped!
PLEASE HELP ASAP! WILL GIVE BRAINLIEST!DO ALL PROBLEMS!
Answer:
I agree with you.
Step-by-step explanation:
I think you did this correctly. The correct process to solve this problem is something like this:
|x-c|=d
|x-c|=(6-(-4))/2 because d is the distance between the points / 2.
|x-c|=5
x-c=5, x-c=-5 (opening absolute value)
6-c=5, -4-c=-5
c=1
So:
|x-1|=5 is the correct answer.
I recommend talking to your RSM teacher about this because I think the portal messed up on this problem. Also, leave a comment about this on the problem under "Need help with formatting?"
help, i will mark brainliest :))
write=if the ratios form a proportion; if they do not form a proportion, write a [tex]\neq[/tex]
1. 10/15 l 10/12
2. 20:24 l 24:30
3. 16 to 20 l 28 to 35
Answer:
Hope this helps :)
Step-by-step explanation:
[tex]\frac{2}{3}\neq \frac{5}{6}[/tex]
[tex]\frac{5}{6}\neq \frac{4}{5}[/tex]
[tex]\frac{4}{5}=\frac{4}{5}[/tex]
Simplify each fraction by the greatest number that is divisible between the two.
find the area of the shaded triangle or quadrilateral.
Answer:
altogether its 42in(squared)
Step-by-step explanation:
Triangle:
1. 13-8=5
2. area of a triangle is 1/2 x l x b
3. Apply so 1/2 x 5 x 4 = 10in(Squared)
Quadrilateral:
1. 13-5=8
2. area of trapezium is (a+b)/2 x h
3. Apply so (8+8)/2 x 4
= 16/2 x 4
=8 x 4
=32in(squared)
Area of quatrilateral all together:
10+32=42in(squared)
The area of the shaded triangle or quadrilateral will be 42 square inches.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
The area of the trapezoid is half of the product of the height and the sum of the parallel sides. Then we have
Area = (1/2) x (Sum of parallel sides) x (Height)
A = (1/2) x (8 + 13) x 4
A = 2 x 21
A = 42 square inches
The area of the shaded triangle or quadrilateral will be 42 square inches.
More about the trapezoid link is given below.
https://brainly.com/question/22607187
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find the area of the polygon!
(I don't know why its being deleted im sorry:(
Answer:
40
Step-by-step explanation:
The given shape is made up of 4 equal right angled triangles.
Formula : -
Area of right angled triangle
= bh / 2
Here,
Base ( b ) = 5
Height ( h ) = 4
Area of each right angled triangle
= bh / 2
= ( 5 x 4 ) / 2
[ 4 = 2 x 2 ]
= ( 5 x 2 x 2 ) / 2
= 5 x 2
= 10
Area of 4 right angled triangles
= 4 x 10
= 40
Note : -
" □ " signify " right angle ".
the sides, based on the tickmarks on the picture, are all equal, so the figure is namely a rhombus with four congruent triangles, in this case each of the four triangles have a base of 4 and a height of 4, so
[tex]\stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(5)(4) \right]\implies 40}[/tex]
Juan has forty dollars in his jacket. Every day he spends half of the money that is in the
jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what
day will he start with less than $3.00 in his jacket?
A) Friday
B) Thursday
C) Tuesday
D) Saturday
What is the standard deviation of 0,10,14,6,0,8,4
Answer:
22.86
Step-by-step explanation:
HELP PLEASE! 15 POINTS! I'LL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Dog: 40
Cat: 50
Other: 110
What percent of the data lies at or below 37 pounds?
Data: 36,22,41,18,36,27,31,38,25,29,22,34,48,20,12,19,35,32,41,50
Answer: 28, 27, 22, 39, 20, 10, 26, 24, 27, 28, 26, 28, 18, 32, 29, 25, 31, 27.
Step-by-step explanation: 28, 27, 22, 39, 20, 10, 26, 24, 27, 28, 26, 28, 18, 32, 29, 25, 31, 27.
One kilometer is 1000 meters. 12 meters equals how many kilometers
Answer:
12/1000=0.012 km
Step-by-step explanation:
Max worked 6.23 hours on Monday, 7.45 hours on Tuesday, 8.3 hours on Wednesday, 8 hours on Thursday, and 5.21 hours on Friday. What is the total number of hours that Max worked?
Answer:
35.19
Step-by-step explanation:
6.23+7.45=13.68
13.68+8.3=21.98
21.98+8=29.98
29.98+5.21=35.19
Please help i'm having truble!
Answer:
104.8 in²
area of trapezium = 1/2 * ( side 1 + side 2 ) * heightHere given the following:
side 1 = 8.3 inch
side 2 = 17.9 inch
height = 8 inch
Area:
1/2 * ( 8.3 + 17.9 ) * 8
104.8 in²
Answer:
104.8 in²
Step-by-step explanation:
area of trapezium = 1/2 * ( side 1 + side 2 ) * height
Here given the following:
side 1 = 8.3 inch
side 2 = 17.9 inch
height = 8 inch
Area:
1/2 * ( 8.3 + 17.9 ) * 8
A number is between -2 and -10
The least possible integer value of this number is
The greatest possible integer value of this number is
Answer:
The numbers between -2 and -10 are -3,-4,-5,-6,-7,-8,-9 and the least possible integer value of the number is -9 and the greatest possible integer value of the number is -3
Select the correct answer.
How many students correctly answered 30 or more questions?
Answer:
19
Step-by-step explanation:
If we look at the graph we can see that 10 students answered 30 questions correctly and 9 students answered 40 questions correctly, when we add this to get the amount of students that got a score of 30 or over there are 19 students
The questions are in the picture (I only need help with letters A) B)
Answer:
a. (5,4)
b. s
Step-by-step explanation:
Answer For A:
Point P is located at coordinates (5, 4)
Answer For B:
The point that represents the ordered pair for (1, 3) is S
Could you find the area? You can use decimals.
Answer:
do you have a picture of the question ?
Step-by-step explanation:
Someone help me real quick ..?
Answer:
Tank A
Step-by-step explanation:
What is 24^3 - 9 + 8? Factorize if possible please!
Answer:
13,823
Step-by-step explanation:
Answer:
13,823
Step-by-step explanation:
24[tex] {}^{3} [/tex] - 9 + 8
=> 13,824-9 +8
=> 13,815 + 8
=> 13,823
A triangle is inside of a circle where the triangles base is on the circles diameter as shown. What is the area of shaded region? Use 3.14 for π