Answers
Divide and you get x=-2
9514 1404 393
Answer:
x = -2 because that is the value that makes the equation true
Step-by-step explanation:
Minus signs are everywhere. They can all be eliminated by multiplying both sides of the equation by -1.
-1(-x -6 -x) = -1(-2)
(-1)(-x) +(-1)(-6) +(-1)(-x) = 2 . . . . . distribute the -1
x + 6 + x = 2 . . . . . . . . simplify
x + x + 6 = 2 . . . . . . . . rearrange
(1 +1)x +6 = 2 . . . . . . . . factor, using the distributive property
2x +6 = 2 . . . . . . . . . . . simplify
2x +6 -6 = 2 -6 . . . . . . subtract 6 from both sides
2x = -4 . . . . . . . . . . . . . simplify
(2x)/2 = (-4)/2 . . . . . . . divide both sides by 2
x = -2 . . . . . . . . . . . . . . simplify
x is -2 because that is the value we get when we apply the properties of equality to the equation. We can check to see if it works in the original equation.
Check
-x -6 -x = -2
-(-2) -6 -(-2) = -2 . . . . put -2 where x is
2 -6 +2 = -2 . . . . . . . . simplify the signs
-4 +2 = -2 . . . . . . . . . . add the first two terms (could do all at once)
-2 = -2 . . . . . . . . yes, the value of x=-2 makes the equation true
_____
Additional comment
The properties of equality we're concerned with here are the multiplication property of equality, the addition property of equality and the division property of equality. Respectively, these tell us that multiplying, adding, or dividing both sides of the equation by the same number doesn't change the value of the variable.
These properties are essential to understanding how algebra works.
Related Questions
What is 2+8
A) 7
B)10
C) 11
D) 9
Answers
Answer:
B. 10
Step-by-step explanation:
Addition. use you finger and try to count like that. :)
Questions Below. Would Appreciate Help!
Answers
Answer:
The function that could be the function described is;
[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]
Step-by-step explanation:
The given parameters of the cosine function are;
The period of the cosine function = 3
The maximum value of the cosine function = 20
The minimum value of the cosine function = 0
The general form of the cosine function is presented as follows;
y = A·cos(ω·x - ∅) + k
Where;
[tex]\left | A \right |[/tex] = The amplitude = Constant
The period, T = 2·π/ω
The phase shift, = ∅/ω
k = The vertical translation = Constant
Therefore, by comparison, we have;
T = 3 = 2·π/ω
∴ ω = 2·π/3
The range of value of the cosine of an angle are;
-1 ≤ cos(θ) ≤ 1
Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;
y = A × cos(ω·x - ∅) + k
y = 10 × 1 + 10 = 20 = The maximum value of the function
Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;
y = 10 × -1 + 10 = 0 = The minimum value of the function
Given that the function is a reflection of the parent function, we can have;
A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;
y = -10 × -1 + 10 = 20 = The maximum value of the function
Similarly, for cos(ω·x - ∅) = 1 we get;
y = -10 × 1 + 10 = 0 = The minimum value of the function
Therefore, the likely values of the function are therefore;
A = -10, k = 10
The function is therefore presented as follows;
y = -10 × cos(2·π/3·x) + 10
8(a + 30)=80 a equals how much?
Answers
Answer:
a = -20
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
8(a + 30)=80
Use the distributive property.
8a + 240 = 80
Subtract both sides by 240
8a = -160
Divide both sides by 8.
a = -20
Your final answer would be a = -20
Answer:
a=-20
Step-by-step explanation:
Multiply 8 by a and 30 which is 8a and 240
The equation looks like this:
8a+240=80
Subtract 240 on both sides:
8a+240-240=80-240
The equation looks like this now:
8a=-160
Divide by 8 on both sides:
8a/8=-160/8
The answer will be:
a=-20
triangle ABC has sides of lengthAB = 10 cm, BC = 12 cm , and AC = 15 cm . List the angles from smallest to largest.
Answers
Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
You put $1,000.00 into a saving account that gives you a 14% return. What is your growth factor?
Answers
Answer:
i would not rlly know what my growth factor is actually
Step-by-step explanation:
You wake up, you see there's a flood, you see 3 people hanging on a tree but you can only save one of them, there is hot girl gold digger, old grandma, and baby boy, who you gonna save
Answers
Answer:
baby boy
Step-by-step explanation:
he has the rest of his life to live
Answer:
baby boy
Step-by-step explanation:
The old dude already lived his life. The woman is a gold digger and I'm not rich.
What number has a absolute of 10?
Answers
Answer:
10
Step-by-step explanation:
Answer:
10, -10, [tex]\sqrt{100} =10[/tex]
Step-by-step explanation:
id k if you are asking for the absolute value, but I hope this helps.
Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza’s math book weigh?
Answers
Answer:18 7/9 - 14 7/8
= 169/9 - 119/8
now you must find a common denominator
= 281/72
3 65/72 lbs
Step-by-step explanation:
Keith downloaded 18
songs in 3 minutes.
What's the slope?
Answers
Answer:
54
Step-by-step explanation:
Mr.smith had 2,364 baseball cards and wanted to give them to his 2 sons equally.How many cards did each son get?
Answers
Answer:
1,182
Step-by-step explanation:
Answer:
1182
Step-by-step explanation:
find the polynomial equation with the given roots (precalc)
Answers
out of 650 people, how many more would you expect to say that they liked summer more then they liked winter
please help and look at graph
Answers
Answer:
169
Step-by-step explanation:
[tex]650 \times (39\% - 13\%) = 169[/tex]
Which expression is equivalent to 6^3
O 6x3
O6x6x6
O 6x6x6x6
0 3 x 3 x 3 x 3 x 3 x 3
Answers
The answer is 6x6x6
Answer:
The answer is 6x6x6.......…......
Combine like terms. Your answer should contain decimals. 0.5(x4 − 9) + 15 = Please in 10 mins please
Answers
Answer:
x ≈ ±2.1407
Step-by-step explanation:
0.5(x⁴ - 9) + 15 = 0
Distribute the 0.5 across the parentheses.
0.5x⁴ - 4.5 + 15 = 0
Combine the constants.
0.5x⁴ + 10.5 = 0
Subtract 10.5 from both sides.
0.5x⁴ = -10.5
Divide both sides by 0.5.
x⁴ = 21
Take the fourth root of 21.
⁴√21 ≈ ±2.1407
x ≈ ±2.1407
Is it possible to form a triangle with side lengths 3.5 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? Or none
Answers
Answer:
It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.
Step-by-step explanation:
Scalene Triangle - All 3 sides have different lengths.
Isosceles Triangle - 2 sides have equal lengths.
Equilateral Triangle - All 3 sides have equal lengths.
You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.
I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!
The given side lengths, 3.5 3.5, and 9, cannot form a triangle.
The Triangle Inequality TheoremThe triangle inequality theorem states that for any triangle, the sum of any two of its side must be greater than the length of the third side.Given the side lengths, 3.5 3.5, and 9:
3.5 + 3.5 (7) is not greater than 9
Thus, we can conclude that the given side lengths, 3.5 3.5, and 9, cannot form a triangle.
Learn more about triangle inequality theorem on:
https://brainly.com/question/2403556
[Help fast, will mark brainliest] Consider the following expression. 3x+2y+5+9y
Select all of the true statements below.
Answers
Answer:
3x+11y+5
false
true
false
true
true
false
Answer:
2y and 9y are like terms
3x is a term
5 is a constant
Step-by-step explanation:
To answer this question, you need to know the definitions of terms, like terms, factors and coefficient.
What is the scale factor of Figure B to Figure A in the simplest form?
Answers
simple just multiply 10X25X21.5 for A and the same for B
Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.
Enter your answer in the box.
Answers
21+15+45-6=75
Answer: right answer is 23
Step-by-step explanation:
If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?
Answers
Answer: 50km/hour
Step-by-step explanation:
Answer:
50 km an hour
Step-by-step explanation:
if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling
100 divided by 2 = 50
the person was traveling 50 km an hour
hellpppppppppppppp pleaseeee
Answers
Answer:
x=3+√2 or x=3−√2
Step-by-step explanation:
For this equation: a=1, b=-6, c=7
1x2+−6x+7=0
Step 1: Use quadratic formula with a=1, b=-6, c=7.
x=
−b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(7)
2(1)
x=
6±√8
2
x=3+√2 or x=3−√2
Ms. Bohan has 4 1/2 bags of takis that she wants to split between her 3 nieces. What fraction of the takis will each niece get?
a
6/9 of the takis
b
3 1/2 of the takis
c
9/6 -or- 1 1/2 of the takis
d
27/2 -or- 13 1/2 of the takis
Answers
Name a plane that contains AC.
plane RCA
plane WRT
plane ACR
plane WCT
Answers
It would be defi
Step-by-step explanation:
I think it definetly would be acr
Solve the system of equations using elimination. SHOW WORK!!!!!!!!!!!!!
15q – 4r = 62
5q + 8r = 86
Answers
q= 6
r= 7
work--
Multiply 1st column by -2:
-30q+8r=-124
5q+8r=86
Subtract 2nd column from the first column:
-35q= -210
Solve for q:
q=6
Subtract q=6 by any of the two equations, so:
-30q+8r=-124
-30*6+8r=-124
Solve for r:
r=7
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
14 cm
Answers
Answer:
1,330.5 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
Where,
r = ½ of 11 = 5.5
h = 14 cm
Plug in the values
Volume = π × 5.5² × 14
Volume = π × 423.5
Volume = 1,330.5 cm³ (1 d.p)
Nick is buying one DVD player and some DVDs. At Electronics-R-Us, the DVD player is $60 and the DVDs are $12 each. At Movies-n-More, the DVD player is $80 and movies are $10 each. If the cost at the two stores is equal, how many DVDs did Nick purchase?
Answers
60+12(5)=60
if he buys the player plus 4 movies at movies-n-more the total would also be $120
80+12(4)=60
so in total he purchased 9 DVDs
5+4=9
How come this person didn’t divide EVERYTHING on the left by 2? I thought you had to...
Answers
The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.
In the expression
2 (6x - 1) + 2 (2x + 5)
both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:
(2 (6x - 1) + 2 (2x + 5)) / 2 = 2/2 (6x - 1) + 2/2 (2x - 5)
… = 1 (6x - 1) + 1 (2x - 5)
… = (6x - 1) + (2x - 5)
and so on.
Looking ahead, it turns out that the equation is solved by x = 7. This makes 6x - 1 = 41 and 2x + 5 = 19. So the equation is saying that, if you make these replacements,
2×41 + 2×19 = 120
If you divide *everything* on the left by 2, you end up with fractions:
(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2
but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.
Help lol I dunno what to do
Answers
Answer:
same
Step-by-step explanation:
Answer:
The answer is 9.2
Step-by-step explanation:
1. Which value of the denominator would make the below statement true?
2/3 = 16/?
a.6
b. 8
c. 12
d. 24
Please help !
Answers
Answer:
d. 24
Step-by-step explanation:
a
Step-by-step explanation:
multiple
6times 3--16
Find the amount of simple interest that $400 would earn at 8% per year by the end 3 1/2 years
Answers
9514 1404 393
Answer:
$112
Step-by-step explanation:
The amount of interest is given by the formula ...
I = Prt
where P is the principal earning interest at annual rate r for t years.
I = $400 · 0.08 · 3.5
I = $112
The amount would earn $112 in interest by the end of 3 1/2 years.
Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (-3,-1) Slope: 0
Answers
Answer:
Y=-1
Step-by-step explanation:
The slope of line is zero
Explanation