The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
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Answer:
Factor x2+4x−45 using the AC method. (x+9) (x−5)
Step-by-step explanation: so B
Find the area of a triangle whose sides are 35 cm, 45 cm and 50 cm.
Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter
s = (a+b+c)/2
where a, b, and c are the length of the three sides of a triangle
s = (35 + 45 + 50) / 2
= 130 / 2
= 65 cm
Area of scalene triangle is given by
A = sqrt (s (s - a) (s - b) (s - c))
= sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))
= sqrt (65 * 30 * 20 * 15)
= sqrt (585000)
= 764.853 sq cm
Step-by-step explanation:
AB = ?
does anyone know?
Answer:
AB = 6.97 (nearest hundredth)
Step-by-step explanation:
Sine Trigonometric Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = 35°O = AC = 4 unitsH = ABSubstitute the given values and solve for AB:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]
[tex]\implies \sf AB=6.973787182...[/tex]
Therefore, AB = 6.97 (nearest hundredth)
calculate the magnitude of the angle ABC from the breeze data
Answer:
∠ ABC = 67°
Step-by-step explanation:
the angle between a tangent and a chord is equal to the angle in the opposite segment, that is
∠ ABC = ∠EAC = 67°
What is the answer to 8:4(5+2)=?
Answer:
8:28
Step-by-step explanation:
4(5+2)
4(7)
28
Please give brainliest!
Hope this helps :)
the answer to the expression 8:4(5+2) is approximately 0.2857.
To solve the expression 8:4(5+2), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we simplify the expression inside the parentheses: 5 + 2 = 7.
Next, we perform the multiplication: 4 * 7 = 28.
Finally, we perform the division: 8 ÷ 28 = 0.2857 (rounded to four decimal places).
So, the answer to the expression 8:4(5+2) is approximately 0.2857. Remember that it's crucial to follow the order of operations to arrive at the correct result in mathematical expressions.
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Solve for d -6 = d/3
21
-21
18
-18
Через какую из данных точек проходит график функции y=6/x?
А) (3;3) Б) (2;3) В) (2;6) Г) (6;0)
Answer:
Б) (2,3)
Step-by-step explanation:
Заметь [tex]y=\frac{6}{x}\rightarrow 3=\frac{6}{2}[/tex]. Поскольку это утверждение верно, то ваш ответ Б) (2,3).
products of powers formula
The products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.
What is products of power formula?The products of powers formula is used to find the product of two exponent numbers.
It is difficult to solve the problem of product in which number has the different exponents or power. The product of power formula is solved this issue.The product of power formula tells that when the number is multiplied by itself with different exponent, then the power are added in this multiplication keeping the number same.The products of powers formula when multiplying a number having exponents can be given as,
[tex]a^m\times a^n=a^{(m+n)}[/tex]
Here, (a,m and n) are the number real numbers. In this formula, m and n is the power of the common number a.
Hence, the products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.
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CAN SOMEONE HELP ME PLEASE
Answer:
13.9
Step-by-step explanation:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Find the difference between coordinates:
(x2 - x1) = (-5 - 0) = -5
(y2 - y1) = (-3 - 10) = -13
Square the results and sum them up:
(-5)^2 + (-13)^2 = 25 + 169 = 194
Now Find the square root and that's your result:
Exact solution: √194
Approximate solution: 13.9284
In ΔHIJ, i = 99 inches, j = 99 inches and ∠H=9°. Find the length of h, to the nearest inch.
Answer:
99
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Work out
5 3/4 - 2 1/4
Answer:
3 1/2
Step-by-step explanation:
So because the fraction in attatched to the whole numbers have the same denominator you can literally just subtract the whole numbers and the fractions. (You do them seperatly) (5-2)=3 (3/4-1/4) = 2/4 or 1/2
7 Question Find the value of x.
Answer:
x = 15
Step-by-step explanation:
45/3 = 15
The function f(x) = –two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). which points represent ordered pairs on g(x)? check all that apply. (–7, –10.206) (–2.5, –4.474) (0, –1.773) (0.5, –0.221) (4, –0.017) (9, –0.003)
The points on the function g(x) are (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)
How to determine the point on g(x)?The function f(x) is given as:
[tex]f(x) = -\frac 27(\frac 53)^x[/tex]
The rule of reflection across the y-axis is:
g(x) = f(-x)
So, we have:
[tex]g(x) = -\frac 27(\frac 53)^{-x[/tex]
All the points in the options are on the curve of the function g(x) except (0, -1.773)
Hence, the points on the function g(x) are (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)
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Answer: 1 4 6
Step-by-step explanation: its right bro.
Find the distance between the two points rounding to the nearest tenth (if necessary). (-6, 7) and (-3, 0)
Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]
Step-by-step explanation:
[tex](-6-(-3))^2 + (7-0)^2[/tex]
[tex](-6, 7) and (-3, 0)[/tex]
[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].
[tex](-6,7)=(-6=[/tex]
[tex]7=)[/tex]
[tex](-3,0)=(-3=[/tex]
[tex]0=)[/tex]
[tex]Exact Form:\sqrt{58}[/tex]
The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]
Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]
how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation
Answer:
Here is the long division
Step-by-step explanation:
50 points!!! Which equation is represented on the graph?
Answer:
I think the answer is b ill look into it a Lil more
what is the exponent of 24?
Answer:
576
Step-by-step explanation:
24 squared which means 24 multiplied by itself(24)
I hope my answer is okay
en una optica se ofrece la siguiente promoción: se descuenta de la compra de anteojos un porcentaje idéntico a la edad correspondiente del cliente, es decir, si el cliente tiene 23 años, el descuento se le aplica de un 23%. El abuelo de Andrés dice: esos anteojos de $40.000 me costarían tan solo $4.000. ¿Qué edad tiene el abuelo de Andrés?
We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.
How old is Andrés?
We know that the percentage in which the price decreases is equal to the age of Andrés.
We can write:
P = $4,000 = $40,000*(1 - k)
Where k is the percentage in decimal form.
Solving for k:
k = ($40,000 - $4,000)/$40,000 = 0.9
To obtain the percentage, we multiply by 100%.
0.9*100% = 90%
We conclude that Andrés is 90 years old.
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How many minutes per week do the students in our class play video games please help
Answer:
Mean: 599, Median 60
Step-by-step explanation:
0,0,0,14,16,30,60,260,300,420,1500,2592,2595
add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.
Mean: 599
Sort them from smallest to greatest and the number directly in the middle is the median.
Median: 60
Solve for x. Enter the solutions from least to greatest.
(x + 7)² - 49 = 0
lesser x =
greater x =
Answer:
Lesser x = -14
Greater x = 0
Step-by-step explanation:
Given equation:
[tex]\sf (x+7)^2-49=0[/tex]
Add 49 to both sides:
[tex]\implies \sf (x+7)^2-49+49=0+49[/tex]
[tex]\implies \sf (x+7)^2=49[/tex]
Square root both sides:
[tex]\implies \sf \sqrt{(x+7)^2}=\sqrt{49}[/tex]
[tex]\implies \sf x+7=\pm7[/tex]
Solve for x:
[tex]\implies \sf x+7=7 \implies x=0[/tex]
[tex]\implies \sf x+7=-7 \implies x=-14[/tex]
As -14 < 0
Lesser x = -14Greater x = 0A board 18 inches long is cut into two pieces in the ratio 1:2. Find the length of each piece.
A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. points and a line show an upward trend. which is most likely the correlation coefficient for the set of data shown? –0.872 –0.191 0.191 0.872
Answer:
Its 0.191
Step-by-step explanation:
Answer:
c) 0.191
Step-by-step explanation:
An equations that has zero POI with 2x -6y = 12
(must have different values)
Answer: Y= 1/3x - 2
Step-by-step explanation:
Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. Find the measures of center for each of the students.
Noah’s scores: 84, 85, 85, 86, 90, 92
Total of 522
Gabriel’s scores: 82, 85, 86, 86, 90, 94
Total of 523
What are Noah’s mean, median, and mode?
What are Gabriel’s mean, median, and mode?
Answer:
Not sure if you still want the answers but here you go
Step-by-step explanation:
Noah's mean: 87
Noah's median: 85.5
Noah's mode: 85
Gabriel's mean: 87.17
Gabriel's median: 86
Gabriel's mode: 86
Answer:
What are Noah’s mean, median, and mode?
✔ 87, 85.5, 85
What are Gabriel’s mean, median, and mode?
✔ 87.17, 86, 86
Step-by-step explanation:
just did it they are correct
2 interior angles of a triangle me 50 degrees and 60 degrees , what is the measure of the third interior angle of the tringle?
Felisha has 32 fluid ounces of pineapple juice. does she have enough pineapple juice to make one recipe?
Answer:
It depends
Step-by-step explanation:
Based on the given info it depends on how much the recipe calls for. 32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints. I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)
Answer:7
Step-by-step explanation:
Does anybody know this?The two pentagons shown are similar if the area of the smaller pentagon is 232m^3 find the area of the larger pentagon
Answer:
(a) 362.5 m²
Step-by-step explanation:
The ratio of areas is proportional to the square of the ratio of side lengths.
__
scale factorlarger/smaller = (35 cm)/(28 cm) = 5/4
areaThe larger area is the square of this scale factor times the smaller area.
(5/4)²(232 m²) = 362.5 m²
_____
Additional comment
We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².
AM I CORRECT
A school is having a canned food drive. Each class is challenged to collect 190 cans. If there are c classes in the school, which equation could be used to find the total number of cans, T, the school will collect if each class meets the challenge?
This answer does look right to me.
The number of cans the school will collect is T = 190 c.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
Each class is challenged to collect 190 cans.
If there are c classes in the school.
Then, the number of Cans can be collected is:
= Number of classes x number of cans each class collect
= c x 190
= 190 c
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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
No he is wrong
If he is referring to table only then correct else wrong
Always 2^x can't have less intercept.
After some while it will cross 5(x)².
You can observe it from graphs
Answer Quickly and Correctly for Brainlist!!! Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
Answer:
the difference in their ages is 31/2
Step-by-step explanation:
151/2=2x15+1/2=31/2
solve fast pls i am mark you
Answer:
[tex] \bold{ x = - \frac{5}{6} }[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀■ Question[tex] \large \sf{ \frac{4x + 9}{3x + 11} = \frac{4x + 3}{3x + 2} }[/tex]
Solve for x.
⠀
⠀
⠀⠀⠀⠀□ Solution⠀
⠀
We will cross multiply the above equation⠀
[tex] \sf (4x + 9)(3x + 2) = (4x + 3)(3x + 11) \\ \\ \sf 4x(3x + 2) + 9(3x + 2) = 4x(3x + 11) + 3(3x + 11) \\ \\ \sf 12 {x}^{2} + 8x + 27x + 18 = 12 {x}^{2} + 44x + 9x + 33 \\ \\ \sf 12 {x}^{2} + 35x + 18 = 12 {x}^{2} + 53x + 33[/tex]
⠀
⠀
Now we will take the values of RHS(right hand side) to LHS(left hand side) of the equation. During this, the values of RHS will get opposite sign while going to LHS.⠀
[tex] \sf 0 = 12 {x}^{2} + 53x + 33 - 12 {x}^{2} - 35x - 18 \\ \\ \sf 0 = 18x + 15[/tex]
⠀
⠀
Taking 15 to LHS⠀
[tex] \sf - 15 = 18x[/tex]
⠀
⠀
Dividing both RHS and LHS of the equation by 18⠀
[tex] \large{ \sf \frac{ - \cancel{15} \tiny {5}}{ \cancel {18} \tiny6 } = x} \\ \\ \boxed{ x = - \frac{5}{6} }[/tex]
Answer:
[tex]\textsf{$x=-\dfrac{5}{6}$}[/tex]
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{4x+9}{3x+11}=\dfrac{4x+3}{3x+2}$}[/tex]
1. Cross-multiply
(4x + 9)(3x + 2) = (4x + 3)(3x + 11)
2. Distribute
⟶ (4x + 9)(3x + 2) = (4x + 3)(3x + 11)
⟶ 4x(3x) + 4x(2) + 9(3x) + 9(2) = 4x(3x) + 4x(11) + 3(3x) + 3(11)
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
3. Combine like terms
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
⟶ 12x² + 35x + 18 = 12x² + 53x + 33
4. Subtract 12x² from both sides
⟶ 12x² - 12x² + 35x + 18 = 12x² - 12x² + 53x +33
⟶ 35x + 18 = 53x + 33
5. Subtract 35x from both sides
⟶ 35x - 35x + 18 = 53x - 35x + 33
⟶ 18 = 18x + 33
6. Subtract 33 from both sides
⟶ 18 = 18x + 33
⟶ 18 - 33 = 18x + 33 - 33
⟶ -15 = 18x
7. Divide both sides by 18 to isolate the variable
[tex]\longrightarrow\textsf{$\dfrac{-15}{18}=\dfrac{18x}{18}$}\\\\\\\longrightarrow\textsf{$\dfrac{-15}{18}=x$}\\\\[/tex]
8. Reduce
[tex]\longrightarrow\textsf{$\dfrac{-15\div 3}{18\div 3}=x$}\\\\\\\longrightarrow\textsf{$-\dfrac{5}{6}=x$}[/tex]
