Steps to solve:
9|9 - 8x| = 2x + 3
~Divide 9 to both sides
|9 - 8x| = 2/9x + 1/3
~Solve absolute value (part one)
|9 - 8x| = 2/9x + 1/3
-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)
-74/9x = -26/3 (Subtracted 9 to both sides)
x = 39/37 (Multiplied 37/39 to both sides)
~Solve absolute value (part two)
|9 - 8x| = -(2/9x + 1/3)
|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)
-70/9x + 9 = 11/3 (Added 2/9x to both sides)
-70/9x = -28/3 (Subtracted 9 to both sides)
x = 6/5 (Multiplied 9/-70 to both sides)
Therefore, the solutions are x = 39/37 and x = 6/5
Best of Luck!
Someone please help me to prove this.
Answer: see proof below
Step-by-step explanation:
Use the following Product to Sum Identities:
2 sin A · cos B = sin (A + B) + sin (A - B)
2 cos A · cos B = sin (A + B) + sin (A - B)
Given: cos A + cos B = 1/2 and sin A + sin B = 1/4
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \tan\dfrac{A+B}{2}[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{\sin\frac{(A+B)}{2}}{\cos\frac{(A+B)}{2}}[/tex]
[tex]\text{Multiplication:}\qquad \quad \dfrac{\sin\frac{(A+B)}{2}}{\cos\frac{(A+B)}{2}}\bigg(\dfrac{2\cos\frac{A-B}{2}}{2\cos \frac{A-B}{2}}\bigg)[/tex]
[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{2\sin \frac{A+B}{2}\cdot \cos \frac{A-B}{2}}{2\cos \frac{A+B}{2}\cdot \cos \frac{A-B}{2}}[/tex]
[tex]\text{Product to Sum:}\qquad \dfrac{\sin A+\sin B}{\cos A+\cos B}[/tex]
[tex]\text{Given:}\qquad \qquad \qquad \quad \dfrac{\frac{1}{4}}{\frac{1}{2}}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{1}{2}[/tex]
LHS = RHS: 1/2 = 1/2 [tex]\checkmark[/tex]
How do you solve this 4x-2+x= -2+2x
Answer:
0
Step-by-step explanation:
First of all, simplify the equation on both sides. You will get 5x - 2 = 2x - 2. Add two to both sides, and you get 5x=2x. Subtract 2x from both sides to get 3x=0, so x will equal 0.
Answer:
5x = 2x
Step-by-step explanation:
5x- 2 = 2 + 2x
5x - 2+ 2 = -2 + 2x +2
What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?
Answer:
The answer is 6 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
K (5, 6) P (1, 1)
The distance from K to P is
[tex] |KP| = \sqrt{ ({5 - 1})^{2} + ({6 - 1})^{2} } \\ = \sqrt{ {4}^{2} + {5}^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \\ = 6.403124[/tex]
We have the final answer as
6 units to the nearest whole numberHope this helps you
perfect squares are closed under multiplication true or false
Answer:
True
Step-by-step explanation:
I need help........... I'll mark u brainliest and give extra points just help me and answer every question pleaseeeeeeeee
Answer:
Here are the answers:
Step-by-step explanation:
C. 4.6x10^7 = 4.6x 10x10x10x10x10x10x10 = 46,000,000
D. 4.6x10x10x10x10x10x10x10
E. You Simplify your expression by mutiplying 10x10x10x10x10x10x10 to get rid of the exponent. You find the sum by multiplying 10x10x10x10x10x10x10 first. You get 10,000,000. Then Multiply 4.6 by 10,000,000. You should get 46,000,000. The sum is 46,000,000.
x-3/4 = 2x-9/7
Please answer it I’ll mark your answer as BRAINLIEST
[tex]:\implies\sf\:x-\dfrac{3}{4}=2x-\dfrac{9}{7}[/tex]
[tex]:\implies\sf\:\dfrac{9}{7}-\dfrac{3}{4}=2x-x[/tex]
[tex]:\implies\sf\:\dfrac{36-21}{28}=x[/tex]
[tex]:\implies\boxed{\bf{\red{x=\dfrac{15}{28}}}}[/tex]
Setting 7/3 equal to which ratio would result in a valid proportion?
9/49
18/42
42/18
49/9
To determine which ratio would result in a valid proportion when set equal to StartFraction 7 over 3 EndFraction, we need to find the ratio that is equivalent to StartFraction 7 over 3 EndFraction.
To do this, we can cross-multiply. When we cross-multiply StartFraction 7 over 3 EndFraction and another ratio, the product of the numerator of StartFraction 7 over 3 EndFraction and the denominator of the other ratio should be equal to the product of the denominator of StartFraction 7 over 3 EndFraction and the numerator of the other ratio.
Let's check each option:
1. StartFraction 9 over 49 EndFraction:
7 x 49 = 343
3 x 9 = 27
These values are not equal, so it is not a valid proportion.
2. StartFraction 18 over 42 EndFraction:
7 x 42 = 294
3 x 18 = 54
These values are not equal, so it is not a valid proportion.
3. StartFraction 42 over 18 EndFraction:
7 x 18 = 126
3 x 42 = 126
These values are equal, so it is a valid proportion.
4. StartFraction 49 over 9 EndFraction:
7 x 9 = 63
3 x 49 = 147
These values are not equal, so it is not a valid proportion.
Therefore, the ratio that results in a valid proportion when set equal to StartFraction 7 over 3 EndFraction is StartFraction 42 over 18 EndFraction.
Hope It Helps :)
Find the value of x
8x + 6
9x – 2
[tex]8x+6=9x-2[/tex]
[tex]x=8[/tex]
Hope this helps.
頑張って!
if 7y-2=15 what is the value of 21y-1
Answer:
50.01
Step-by-step explanation:
7y-2=15
7y=15+2
7y=17
y=2.4285714286
21y-1
21(2.4285714286)-1
51.01-1
50.01
Hope this helps ;) ❤❤❤
Which of the following represents the factorization of the binomial below?
x² - 144
A. (x+12)(x-12)
B. (x-12)(x-12)
C. (x+12)(x +12) D. (X)(x-144)
Answer:
A. (x+12)(x-12)
Step-by-step explanation:
Use foil method
x * x = x^2
x * - 12 = - 12x
12 * x = 12 x
12 * - 12 = - 144
x^2 [- 12x + 12x= 0x = 0] - 144
x^2 + 0 - 144 =
x^2 - 144 #
Answer:
What are the factors of x2 – 144?
✔ (x – 12)
and
✔ (x + 12)
Step-by-step explanation:
Which of the following is true? a. A hypothesis is a measure, such as price or quantity, that can take on different values at different times. b. To test a hypothesis is the last step under the scientific method of studying economic problems. c. To identify a question and define the relevant variables is the last step under the scientific method. d. Assumption refers to a theory about how key variables relate to one another.
Answer:
Step-by-step explanation:
D
Solve 20x + 5y = 15 for y
Answer:
Step-by-step explanation:
20x+5y=15
Subtract 20x from both sides.
5y=15−20x
Divide both sides by 5.
__5y_ = _15-20x_____
5 5
y= __15-20______
5
Divide 15−20x by 5.
y=3−4x
A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint (x2, y2) of each line segment with the given endpoint (x1, y1) and endpoint (xm, ym).
(a)
(x1, y1) = (1, −4), (xm, ym) = (2, −1)
(x2, y2)=
(b)
(x1, y1) = (−9, 19), (xm, ym) = (5, 6)
(x2, y2)=
Answer: (a) ([tex]x_{2},y_{2}[/tex]) = (3,2)
(b) ([tex]x_{2},y_{2}[/tex]) = (19,-7)
Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}[/tex]
Isolating [tex]x_{2}[/tex]:
[tex]2x_{m}=x_{1}+x_{2}[/tex]
[tex]x_{2}=2x_{m}-x_{1}[/tex]
And [tex]y_{2}[/tex]:
[tex]2y_{m}=y_{1}+y_{2}[/tex]
[tex]y_{2}=2y_{m}-y_{1}[/tex]
(a) Replacing values and calculating [tex]x_{2}[/tex]:
[tex]x_{2}=(2*2)-1[/tex]
[tex]x_{2}=3[/tex]
Calculating [tex]y_{2}[/tex]:
[tex]y_{2}=[2*(-1)]-(-4)[/tex]
[tex]y_{2}=2[/tex]
[tex](x_{2},y_{2})=(3,2)[/tex]
(b) [tex]x_{2}=(2*5)-(-9)[/tex]
[tex]x_{2}=19[/tex]
[tex]y_{2}=(2*6)-19[/tex]
[tex]y_{2}[/tex] = -7
[tex](x_{2},y_{2})=(19,-7)[/tex]
Answer:
D is the Right answer got it right on test and teacher said it was right
Step-by-step explanation:
Ym
Ana's gymnastics scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number 15._66
Answer:
0,1,2,3,4,5,6,7,8,9Step-by-step explanation:
From the problem statement, from the score which is given as 15._66.
it is only one digit that is missing and not a combination of two digits.
This makes our guess easier as we have a range of 0-9 to guess from
therefore the list of possible digits to select from can be given as
from between 0-9 which is
{0,1,2,3,4,5,6,7,8,9}
HELP PLEASE
the first two questions is the picture
3. write the fraction in he simplest form
12/20
my answer: 6/10
4. write the fraction in he simplest form
25/35
my answer: 2/3
Answer:
number 3. is wrong you can reduce once more and it will equal 3/5. and number 4 would be 5/7.
Step-by-step explanation:
divide 12/20 by 2 on the top and bottom. you should get 6/10. you can divide that once more by 2 on the top and bottom and you should get 3/5. thats simplest form.
divide 25/35 by 5 on the top and bottom youll get 5/7. thats the simplest form.
hope this helped :)
what does X Equal for 0.4 repeating
Answer:
x=4/9
Step-by-step explanation:
We first let 0.4 (4 being repeated) be x.
10x=4.4
10x-x=4.4-0.4
9x=4
x=4/9
Identify the hypothesis in the statement If it is monday, then the basketball team is playing
In the picture order the number from least to greatest
Answer:
-9.2, -4/5, 3/8, .45, 54%, .86, 88%
Step-by-step explanation:
Please, I really need help-
=====================================================
Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
-------------------
The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
-------------------
Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Answer:
48
Step-by-step explanation:
THE ANSWER IS 48 SORRY I CAN SEE IT NOW SORRY
john has 42 pieces of candy. if he has 4 bags and two extra pieces determine how many are in each bag.
Answer:
10
Step-by-step explanation:
42-2=40(since 2 extra)
=>For each bag=40/10=4
Which of the following are correct ways to name Plane B? (Select all that apply)
Plane WYU
Plane WYU
Plane WYV
Plane WYV
Plane XYV
Plane XYV
Plane UWV
Plane UWV
Plane BWY
9x - 6xy + 9 + 9xy - 6
Answer:
3xy+9x+3
Step-by-step explanation:
Evaluate 4m+23+np−3, when m=7, n=2, and p=8.
Answer: 64
Step-by-step explanation:
When you come across question of evaluation, substitute all the variables.
-----------------------------------------------------------------
Given
4m+23+np-3
Substitute value m, n, and p
=4(7)+23+(2)(8)-3
Use PEMDAS to simplify
ParenthesesExponentsMultiplication and DivisionAddition and Subtraction=28+23+16-3
=51+16-3
=67-3
=64
Three sides of a pentagon have a length of 26 cm each. Each of the remaining two sides has a length of 14.5 cm. What is the perimeter of the pentagon? 75 cm 81 cm 107 cm 377 cm
Answer:
107 cm
aaaaaaa
aaaaaaa
Answer:
107 cm
Step-by-step explanation:
To find this you just first add the 26cm three times because thats the length of 3 sides and you get 78 then you multiply 14.5 times 2 for the other two sides that length and you get 29. Next you add 78+29 and you get 107cm
(PLEASE HELP)You draw a card from a deck. Find the probability that you will draw a red card OR a club. (Answer as a percent including the symbol- Ex. 14%) ~will mark brain
Answer:
The probability of drawing a red card from a deck is 50%
The probability of drawing clubs from a deck is 25%
Step-by-step explanation:
Mikaila collected 27 pounds of glass bottles to bring to the recycling center.
She also collected 400 ounces of newspapers and 160 ounces of aluminum cans.
What is the total weight of the items Mikaila brought to the recycling center?
Write your answer in ounces.
ounces
Answer:
992
Step-by-step explanation:
1 pound equals 16 ounce
So, 27x16=432
432+400+160=992
A car, initially at rest, travels 20 m in 4 s along a straight line with constant acceleration. The acceleration of the car is: 1. 0.4 m/s 2 2. 9.8 m/s 2 3. 4.9 m/s 2 4. 1.3 m/s 2 5. 2.5 m/s 2
Answer:
2.5m/s²Step-by-step explanation:
Using the equation of motion S = ut + 1/2at² where;
S is the distance travelled = 20m
u is the initial velocity = 0m/s (car starts from rest)
a is the acceleration = ?
t is the time taken = 4s
To get the acceleration of the car, we will substitute the given parameters into the given equation.
S = ut + 1/2at²
20 = 0(4)+1/2a(4)²
20 = 0+ a/2*16
20 = 8a
divide both sides by 8
20/8 = 8a/8
20/8 = a
a = 20/8
a = 2.5m/s²
Hence the acceleration of the car is 2.5m/s²
The electric company charges $0.06 per kilowatt hour of electricity used. Write a multiplication equation to find the number of kilowatt hours of electricity for which the Estevez family was charged if their electric bill was $45.84.
Answer:
$0.06(x)=$45.84
Step-by-step explanation:
x= the number of hours used
x=764 hours
to get the 764 you divide 45.85/0.06 because you want to isolate the variable.
Answer:
$0.06(x)=$45.84
Step-by-step explanation:
math is easy
5-2x=15 plz help ASAP
Answer:
x=-5
Step-by-step explanation:
48) The solution set of the
equation x2/3 + x1/3 - 2 = 0 is ...
Answer:
2 is the answer
Step-by-step explanation:
2x/3+x/3-2=0
Now take lCM of all the three term,
3x/3-2=0
Now you have solve it
x=2
Answer:
No solution
Step-by-step explanation:
[tex] \frac{2}{3} x + \frac{1}{3} x - 2 = 0[/tex]
Collect like terms and simplify
[tex] \frac{2}{3} x + \frac{1}{3} x = 2 [/tex]
[tex] \frac{2}{3} + \frac{1}{3} = \frac{2 + 1}{ 3} = \frac{3}{3} = 1[/tex]
[tex]1 = 2[/tex]