Answer:
X=-6
Step-by-step explanation:
4(1−x)+3x=−2(x+1)
(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)
4+−4x+3x=−2x+−2
(−4x+3x)+(4)=−2x−2(Combine Like Terms)
−x+4=−2x−2
−x+4=−2x−2
Step 2: Add 2x to both sides.
−x+4+2x=−2x−2+2x
x+4=−2
Step 3: Subtract 4 from both sides.
x+4−4=−2−4
x=−6
Answer:
x=−6
Answer:
x=-2
Step-by-step explanation:
4 - 4x + 3x=-2x -2
4 -1x=-2x -2
4= -1x -2
2=-1x
x=-2
Find x in the given figure. answers : Question 7 options: 24 9 18 144
Answer:
x = 24.
Step-by-step explanation: given lines s and t are parallel and line m is a bisector, we can conclude that (2x+27) is an opposite exterior angle and congruent to the angle adjacent to (4x+9). Defining those 2 angles are supplementary, they = 180 degrees. Therefore, 2x+27+4x+9=180. Subtract 36 (27+9) from the left side of the equation as well as from the right side (180-36) you get 2x+4x=144. Add the x's you get 6x. So, 6x=144. Divide both sides by 6 and you get x=24.
Hope that helps
Answer:
answer is 24
Step-by-step explanation:
Nate is constructing a tangent line to a circle he drew from a point outside the circle. Once he has the circle and the point is drawn, what is his next step?
Answer:
The next step is to find the point on the circle which makes a tangent line that passes through the outside point.
Step-by-step explanation:
A tangent line to a circle is a line that touches the circle at exactly one point. You need two points to draw a line. You already have one point and the circle, then you need the other point, which lies on the circle. These two points have to lie on the same line. Notice that there are two possible tangent lines.
Answer:
connect the center of the circle to the point outside the circle
Step-by-step explanation:
Which expression is a polynomial? a. 9x^7 y^-3z b. 4x^3 - 2x^2 + 5x - 6+ 1/x c. - 13 d. 13x ^-2
Answer: B.
Step-by-step explanation:
Polynomials cannot have negative exponenets because x^-3 can be written as 1/x^3 and terms containing fractional exponents are not considered polynomials
does anybody know the answer for this ??
Answer:
C
Step-by-step explanation:
5/8 y-3/8 y + 2y=
2/8 y +2y common denominator
2/8 y + 16/8 y =
18/8 y =9/4 y
The diameter of a circle is 16 in. Find its area in terms of pi
Answer:
64pi
Step-by-step explanation:
To find the raidus we divide the diameter by 2
Radius = 16/2 = 8
Area = pi*8^2 = 64pi
Answer:
64pi
Step-by-step explanation:
Evaluate 1/2m - 2/3n when m = 3 and n = 8.
A) -23/6
B) 41/6
C) -19/6
D) 2
Answer:
1/2(3)-2/3(8)
3/2-9/3
3-9
2.3
9-32
6
-23
6
2x+3y=12 complete the missing value in the solution to the equation ( 8,)
Answer:
Missing value is -4/3 and whole solution can be written as ( 8,-4/3)
Step-by-step explanation:
Given equation 2x+3y=12
solution ( 8,)
solution is form (x,y) hence in (8,) x is given as 8 while y is missing to find y
we will plug 8 as value of x in equation 2x+3y=12. From this equation we will find the missing value.
2x+3y=12
=> 2*8+3y=12
=> 16 + 3y = 12
=> 3y = 12-16= -4
=> y = -4/3
Thus, missing value is -4/3 and whole solution can be written as ( 8,-4/3)
The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5. What is the first term of series?
Answer:
4Step-by-step explanation:
Suppose
S = sum of the six termsa1 = the first term[tex]\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.[/tex]
then a1 = (4×15 624)÷(5^(6)-1)
= 4
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
B
Step-by-step explanation:
Subtitution method:
y=6x-4 (1)
y=7x-7 (2)
subtitute 7x-7 into (1) because both y1 and y2 are same
7x-7=6x-4
7x-6x=-4+7
x=3
subtitute x=3 into any equation
eg: y=6x-4 y=7x-7
=6(3)-4 or =7(3)-7
=14 =14
Therefore, The answer is (3,14)
Answer:A
Step-by-step explanation: It is a because you should trust me
Which expression is equivalent to
Answer:
B. [tex]\sqrt[9]{xy^2}[/tex]
Step-by-step explanation:
Answer:
[tex]x(\sqrt[9]{y^2} )[/tex]
Step-by-step explanation:
[tex]xy^{2/9}[/tex]
The power 2/9 is on the variable y.
[tex]x(y^{2})^{1/9}[/tex]
The power 1/9 can be written as the ninth root.
[tex]x(\sqrt[9]{y^2} )[/tex]
N is the midpoint of . Find the length of the line segment PQ if NQ = 18. answers:
A)
9
B)
15
C)
18
D)
36
Factoring Quadratics - Please help; will mark Brainliest!
Answer:
1) x = -1 or x = -10 (either of them are both correct)
2) x = 3 or x = -5
Step-by-step explanation:
Let's solve your equation step-by-step.
x2 + 11x + 10 =0
Step 1: Factor left side of equation.
(x + 1)(x + 10) = 0
Step 2: Set factors equal to 0.
x + 1 = 0 or x +10 = 0
x = −1 or x = −10
Answer:
x = −1 or x = −10
2x^2 + 4x − 30 = 0
Answer:
x = 3 or x = −5
Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on sale at $12 last week. What was the percentage increase in the price of the hat this week?
*please help:)
-must haves:)….
right answer.
step-by-step.
makes sense.
^I will mark someone the brainiest if more than one person answers this :)
Answer:
1.8
Step-by-step explanation:
Please help me!!
You eat 2 slices of a 14-inch pizza which totals 34 square inches. At what angle were the pizza slices cut? Show your work. Round your answer to the nearest whole number.
The angle at which the pizza slices were cut would be 39.75°. The round-off to the nearest whole number would be 40°.
To find out the angle at which the pizza slices were cut, we need to first find out the angle of each slice of the pizza.
As per the question,
The total area of the pizza= 34 square inch
The total angle of the pizza= 360 degrees
We already know the area of a pizza= [tex]\pi r^2[/tex]
[tex]\pi[/tex]= 3.14
The diameter of the pizza, given= 14 inch
Therefore, the radius of the pizza= 7 inch
Area of the pizza= [tex]3.14*7^2[/tex]
=153.94
Now, the angle of the slice can be determined by:
The angle of the slices= (Area of each slice/Area of the pizza)* Total angle
The angle of the slices= (34/153.94)*360
=79.51
Since you ate 2 slices,
the angle of one slice = 79.51/2
=39.75 or the round-off would be 40.
Therefore, the angle at which the pizza slices were cut is 40°.
To know more about areas,
https://brainly.com/question/25292087
https://brainly.com/question/14068861
You draw a card from a standard deck of 52 cards. What is the probability of drawing a
King?
Leave your answer as a fraction in lowest terms.
Answer:
1/13
Step-by-step explanation:
There are 4 king cards:
King of Hearts
King of Diamonds
King of Clover
King of Spades
This is 4 cards in a standard deck of 52. Set as a fraction 4/52.
Simplify:
(4/52)/(4/4) = 1/13
1/13 is the probability of drawing a KIng card.
~
The expression w^4 – 36 is equivalent to..?
Answer:
w⁴ - 36
=> ( w² )² - ( 6 )²
=> ( w² + 6 ) ( w² - 6 )
=> w² + 6 = 0 and w² - 6 = 0
=> w = √-6 and w = √6
The value of w is √-6 and √6 .
What is an identity?An identity is an equation that is true for all values of the variables.
For example:
The above equation is true for all possible values of x and y, so it is called an identity.
According to question one such identity will be used
[tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]
w⁴ - 36
= ( w² )² - ( 6 )²
= ( w² + 6 ) ( w² - 6 )
= w² + 6 = 0 and w² - 6 = 0
= w = √-6 and w = √6
Hence, w is a quadratic term so it have two value √-6 , √6 .
To know more about identity here :
https://brainly.com/question/20427661
# SPJ2
Write the slope intercept form through: (5,1) and(2, -2)
Answer:
The slope of line passes (x1, y1) and (x2, y2) could be calculated by:
slope = (y2 - y1)/(x2 - x1)
=>A line passes (5, 1) and (2, -2) has the slope:
slope = (-2 - 1)/(2 - 5) = (-3)/(-3) = 1
Hope this helps!
:)
which linear inequality is represented by the graph?
Answer:
A
Step-by-step explanation:
y-int. = 2
Slope m= rise/run = 1/2
The line has an equation y = (1/2)x +2
Shading is under the line, so y≤(1/2)x +2. Answer is A.
Emilio borrows $1200 from a bank with 7.5% simple interest per year. How much will he have to pay back total in 4 years?
Answer:
1560
Step-by-step explanation:
1200*0.075 = 90
1200+90+90+90+90
Answer:
$1,560
Step-by-step explanation:
7.5% of $1,200 is 90. 90 times 4 (as in 4 years) is 360.
$360 plus $1,200 is $1,560.
Find The length of AD if the length of AB is 14 units the length of BC is 5 units and the length of CD is 8 units
Answer:
AD=17
Step-by-step explanation:
the sum of the measures of the interior angles of a polygon with n sides is
Answer:
A
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = (n - 2) 180° ← n is the number of sides → A
The sum of the interior angles of a polygon with n sides is (n - 2) 180°.
What is the sum of all interior angles of a regular polygon?The sum of all interior angles of an ordinary polygon is calculated via the method S=(n-2) × 180°, where 'n' is the number of sides of a polygon.
What is a polygon?A polygon is a closed-dimensional form this is formed by means of enclosing line segments. not less than 3 line segments are required to make a polygon.
Learn more about polygon here https://brainly.com/question/1592456
#SPJ2
parellograms please help :)
Answer:
1) 114
2) 120
3) 35
4) 92
5) 83=10x+3
x=8
6) 2x+4+130=180
2x=46
x=23
7) 92+8x=180
x=11
8) 3x+8=35
x=9
9) 16x+4=180
16x=176
x=11
10) 76+x+104=180
x=0
Practice using experimental probability.
Asment
The experimental probability of getting a 3 on a number cube is 5/36. Which of the following is true about the event's
experimental probability?
The number 5 was rolled 36 times.
O The number 3 was rolled 5 times in 36 trials.
o The number cube was rolled 41 times
After 5 trials, the number 3 was rolled 36 times.
Intro
Done
Question 3 of 10
2 Points
What are the square roots of 81? Check all that apply.
A. 3
B. -9
C. 9.5
D. |9|
E. -3
F. 9
Answer:
F. and D.
Step-by-step explanation:
square root of 81 is 9 because 9 is a number which produces a specified quantity when multiplied by itself.
Find f(-3) for f(x) = 4(2)
O A. -32
1
B
B
C.
-IN
D. - 24
Answer:
Im confused on how its wrote down
Step-by-step explanation:
The graph of f(x) = (0.5) is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 3 units, then what is the value of k?
Ok=-3
Oka-
O
OK= 1/3
Ok = 3
Answer:
[tex]k = 3[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 0.5x[/tex]
[tex]g(x) = 0.5x - k[/tex]
Required
[tex]Find\ k[/tex]
Initial expression of f(x) is [tex]f(x) = 0.5x[/tex]
From the question; we understand that f(x) was shifted down by 3 units;
This implies that
[tex]New\ f(x) = 0.5x - 3[/tex]
Also from the question; we understand that this new f(x) is equivalent to g(x);
In other words;
[tex]New\ f(x) = g(x)[/tex]
Substitute[tex]New\ f(x) = 0.5x - 3[/tex] and [tex]g(x) = 0.5x - k[/tex]
This gives
[tex]0.5x - 3 = 0.5x - k[/tex]
Subtract 0.5x to both sides
[tex]0.5x - 3 - 0.5x = 0.5x - k - 0.5x[/tex]
Rearrange
[tex]0.5x - 0.5x - 3 = 0.5x - 0.5x- k[/tex]
[tex]-3 = -k[/tex]
Multiply both sides by -1
[tex]-3 * -1 = -k *-1[/tex]
[tex]3 = k[/tex]
[tex]k = 3[/tex]
3x-2y<-6
Write in slope intercept form
Answer:
y>1.5x+3
Step-by-step explanation:
All you need to do is isolate y, no coefficients, using basic algebra.
3x-2y<-6
-3x both sides
-2y<-3x-6
divide by -2 and switch the comparing sign to the other direction.
y>1.5x+3
Answer:
y > 3/2x +3
Step-by-step explanation:
3x-2y<-6
Subtract 3x from each side
3x-3x-2y<-3x-6
-2y< -3x-6
Divide each side by -2, remembering to flip the inequality
-2y/-2 > -3/-2x -6/-2
y > 3/2x +3
Convert the following complex number into its polar representation:
-40
O A. 4(6052isang
37
B. 2(cos(+ isin)
C. 16(COST* isin x)
O D. -4(cose i sin
Answer:
The correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
The complex number is given as : 3 - 3i
Now, comparing this with the standard for : a + bi
⇒ a = 3 and b = -3
Now, r = √a² + b²
⇒ r = √18
⇒ r = 3√2
Now, The polar form is represented by :
z = r(cosθ + i·sinθ)
⇒ z = 3√2(cos 135° + i·sin 135°)
Therefore, the correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
Please find the SURFACE AREA of this figure... Write the formula and plug in the values... Write your answer with units and box your answer
Answer:
hope this helps you
Find the angle of this triangle. Will give brainliest and many points!
Please explain how you found your answer in great detail.
