help plz!!
[tex]x^2-x-6=0[/tex]
Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
[tex]x^2-x-6=0[/tex]
[tex]\left(x+2\right)\left(x-3\right)=0[/tex][tex]x+2=0\quad \mathrm{or}\quad \:x-3=0[/tex][tex]x+2=0[/tex][tex]x+2-2=0-2[/tex] ← Subtract 2 from both sides[tex]x=-2[/tex][tex]x-3=0[/tex][tex]x-3+3=0+3[/tex] ← add 3 to both sides[tex]x=3[/tex]-----------------------
hope it helps...
have a great day!!
Which figure is described below?
The points in a plane 4 units
from pq.
A. 2 lines
B. ray
C. sphere
D. line
Answer:
A. 2 lines
Step-by-step explanation:
Just did it on Acellus
Figure constitute 2 lines.
What is a Line?A line is a part of line that is bounded by two distinct end point, and contains every point on the line is between its endpoint.
option d) 2 lines will be described in the figure
PQ is already a line . Since , a point let say R is 4 unit away from that line , then this will constitute another line which is 4unit away from PQ.
Hence , figure constitute 2 lines.
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The points (30, 50). (-10, 30) and (-20, s) all lie on the same line. What is the value of s? Show your work.
Answer:
s = 25
Step-by-step explanation:
First we go from point (30, 50) to point (-10, 30).
Change in x: -10 - 30 = -40
Change in y: 30 - 50 = -20
Since a change in x of -40 results in a change in y of -20, we divide both changes by 4 to get:
a change of -10 in x results in a change of -5 in y.
Now we go from point (-10, 30) to point (-20, s).
The change in x is -20 - (-10) = -10
The corresponding chang ein y must be -5.
y = 30 - 5 = 25
Answer: s = 25
4/10 + 5/100
Pls help now
Answer:
4/10 + 5/100= 9/20
Step-by-step explanation:
Answer:
9/20
Step-by-step explanation:
reduce the fraction with 2
4/10+5/100
2/5+5/100
2/5+1/20
write all numerators above the least common denominator 20
8+1/20
8+1=9
9/20
Solve -7u = -21 for u. u =
Answer: u = 3
Step-by-step explanation:
Divide each side by -7 to get u = 3.
Answer:
3
Step-by-step explanation:
-7u = -21
To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.
-7u
[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]
u= -21/-7
u = 3
Help plz
Use substitution to determine whether the system below has no solutions, infinitely many solutions, or one solution.
15x + 5y = 20
y = 8 − 3x
Group of answer choices
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
15x+5y=20 8-3x
substitute one unknown quantity into the elimination
15x+5(8-3x)=20
solve the equation
nosolution
PLEASE HELP ASAPPPP
Is it possible to write an expression like a(b+c) that equals 360 where a is an fraction?
Either write such an expression, or explain why it is impossible.
How many ways do you think there are to make 360 using the distributive property?
Answer:
1. 1/2(700 + 20)
2. 12(50 -20)
3. There are infinite expressions with fractions and decimals, and even if you dont enclude those its quite a large number
Step-by-step explanation:
Please Help. What is the perimeter of the base?
x is the unknown remaining edge of the base.
Using Pythagoras theorem in the base, we have:
[tex]8 {}^{2} + x {}^{2} = 10 {}^{2} [/tex]
[tex] = > \: x = \sqrt{10 {}^{2} - 8 {}^{2} } = 6[/tex]
with x = 6, the perimeter of the base is 10 + 8 + 6 = 24
Can someone explain step by step of how to answer this question?
Answer:
More people ordered processed than produce
Step-by-step explanation:
They are comparing [tex]\frac{1}{5} and \frac{19}{91}[/tex]
First we have to find the least common multiple (lcm)
The lcm is 455
[tex]\frac{1}{5} x \frac{91}{91} = \frac{91}{455}[/tex] (produce)
[tex]\frac{19}{91} x \frac{5}{5} =\frac{95}{455}[/tex] (processed)
[tex]\frac{91}{455} < \frac{95}{455}[/tex]
More people ordered processed than produce.
At a certain school, everyone in grades 6 through 9 voted for their favorite cafeteria lunch. The bar graph below shows the results of the survey.
Which grade liked spaghetti the most?
Enter your answer as a number.
Answer: Grade 8
Step-by-step explanation: The bar graph indicates by color which the number of students who liked said food more. Grade 8's bar is higher than every other grade showing us that their grade 8 liked spaghetti the most.
The grade liked spaghetti the most is Grade 8
What is bar graph?"It is a graphical representation of data using bars.""The heights of bars are proportional to the values that they represent."For given question,
The bar graph represents the results of the survey where everyone in grades 6 through 9 voted for their favorite cafeteria lunch.
If we observe the bars of each class for the Spaghetti then, Grade 8's bar is higher than every other grade.
This means that grade 8 liked spaghetti the most.
Therefore, the grade liked spaghetti the most is Grade 8
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Please help first correct will get brainliest. JKL PQR find the value of x
Answer:
x = 30
Step-by-step explanation:
If two triangle are similar then the measure of their corresponding sides are
proportional.
[tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]
ANSWER ASAP
How many faces does a polyhedron with 6 vertices and 12 edges have?
Eight faces!!!
In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices.
Hope this helps! :D
help, please! f(x)=x^2 what is g(x)?
Answer:
B
Step-by-step explanation:
If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.
Hope this helps!!
Which graph models the equation y = 8(0.8)x?
Answer:
C
Step-by-step explanation:
Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.
A 60-foot zip line from a tree to the ground forms a 45 degree angle of elevation from the ground. How high above the ground is the top of the zip line? Round your answer to the nearest tenth of a foot.
Answer:
42.4 foot
Step-by-step explanation:
Please check the attached image for a diagram explaining the question
We would use sine to determine the required side
Sin 45 = opposite / hypotenuse
0.7071 = opposite / 60
60 x 0.7071 = 42.4 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Find the distance between the two points in simplest radical form.
(7, 2) and (-1, -3)
Answer:
[tex]Distance = \sqrt{89}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = \ ( 7, 2 ) \ and \ (x_2 , y _2) \ = ( -1 , - 3) \\\\\\Distance = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}\\\\[/tex]
[tex]= \sqrt{(-1 - 7)^2 + ( -3 -2)^2}\\\\=\sqrt{(-8)^2 + ( -5)^2}\\\\=\sqrt{ 6 4 + 25 } \\\\=\sqrt{89}[/tex]
Help plz..And No links!! I repeat No links!!
Answer:
6:22
Step-by-step explanation:
4:55 + 1:27 = 6:22
GUYS PLEASE SOMEBODY ANSWER THIS AS QUICK AS POSSIBLE I WILL GIVE YOU 50 POINTS
When 20 employees were first hired in 2011 for an environmental engineering firm, Company A, the starting annual salary was $35,000. A competing environmental engineering firm, Company B, had the same starting salary for 20 employees hired the same year. In 2016, data was collected on the annual salaries of these same employees at each company. This data is displayed in the boxplots shown:
Part A: Compare the annual salary distributions. (4 points)
Part B: What are the pros and cons of working at each company? Explain using what you found in Part A. (6 points)
Answer:
part A: 30,000 is more
Step-by-step explanation:
Find the area of each figure. Use 3.14
===============================================================
Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
23.14
Step-by-step explanation:
The shape is basically two equal-sized circles and a square.
Find the area of the square: 3 x 3 = 9
9 is the area of the square
The formula for finding the area of a circle is pi x radius squared.
3.14 x 1.5 squared = 7.06858
Round to 7.07 and multiply by 2 = 14.14
14.14 (area of both circles) + 9 (area of square) = 23.14
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
can someone help me please
Answer:
yes iam help to you. have a nice day
Find the measure of arc CB
Answer:
Arc CB is equals to 160
Step-by-step explanation:
Add all of those numbers and subtracted by 360
Answer:
Step-by-step explanation:
Remark
Be very careful that you understand which arc you are asking for. Arc CB could be the arc made up of 53 + 79 + 68 = 200.
Somehow I get the idea that is not what you want. You want the arc that is not divided up so it is
Arc CB = 360 - Sum of the minor arcs
Arc CB = 360 -- 200
Arc CB = 160
A 300$ mountain bike is discounted by 30%, and there is a 8% sales tax. Find the final cost of the mountain
Answer:
[see below]
Step-by-step explanation:
The bike's original price is 300 dollars. It has been discounted by 30%.
300 * 0.3 = 90
The price would be 90 dollars off.
300 - 90 = 210
$210 would be the subtotal.
There is also an 8% sales tax.
210 * 0.08 = 16.80
210 + 16.80 = 226.80
Hope this helps you!
Answer:
cost of the bike =$300
discount = 30%
Price of the bike ={ (30/100)×300}-300=210
Sales tax= 8%
Final cost =( 8/100)×210=16.80+210=226.80
Identify the property being demonstrated for each expression.
13+ (5 + 7) = (3 + 5) + 7
(3)[5(7)] = (3)[7(5)
5 + 0 = 5
Answer:
3 + (5 + 7) = (3 + 5) + 7
Associative property
(3){5(7)} = (3){7(5)}
Commutative Property
5 + 0 = 5
Identity Property
Step-by-step explanation:
Which of the following is a fifth degree binomial?
Answer:
C)
Step-by-step explanation:
[tex]2xy^{2}-5y^{5}[/tex]
Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5
Hello help please and thank you
Answer:
I don't know this answer
Answer:
28.27 inches ^2
Step-by-step explanation:
The formula to convert °F to °C is C = (F – 32).
Convert 50°C to °F.
10°F
20°F
122°F
132°F
The value of 50°C in °F is,
⇒ 122° F
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
To Convert 50°C to °F.
Now, We get;
⇒ (50 × 9/5) + 32
⇒ 90 + 32
⇒ 122° F
Thus, The value of 50°C in °F is,
⇒ 122° F
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find the value of x
help me pls
Answer:
x = 30
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
4x-18 = 2x+6 + 36
Combine like terms
4x-18 = 2x+42
Subtract 2x from each side
4x-18-2x =2x+42-2x
2x-18 =42
Add 18 to each side
2x-18+18 = 42+18
2x= 60
Divide by 2
2x/2 = 60/2
x = 30
A triangle and a rectangle are shown below.
The area of the rectangle is 5 times the area of the triangle.
Work out the width(w) of the rectangle
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
Find the value of x.
Answer:
8
Step-by-step explanation:
6x+1 = 9x-23
add 23 to both sides
subtract 6x from both sides
3x=24
x=8
Answer:
8 =x
Step-by-step explanation:
The angles are the same so
6x+1 = 9x-23
Subtract 6x from each side
6x+1-6x = 9x-6x-23
1 = 3x-23
Add 23 to each side
1 +23 = 3x-23+23
24 = 3x
Divide by 3
24/3 = 3x/3
8 =x