Answers
Answer:
Step-by-step explanation: -3(m-2)=-9
-3m + 6 = -9
-3m = -15
m=5
Answer:
[tex]m=5[/tex]
Step-by-step explanation:
[tex]-3(m-2)=-9~(Given)\\\\-3m+6=-9~(Distributive~Property)\\\\-3m+6-6=-9-6~(Addition~Property~of~Equality)\\\\-3m=-15~(Simplify)\\\\\frac{-3m}{-3}=\frac{-15}{-3}~(Division~Property~of~Equality)\\\\m=5~(Simplify)[/tex]
Related Questions
Select all solutions for the equation (3x + 5)(2x + 8) = 0
Answers
Answer:
Step-by-step explanation:
=
The length of a rectangular room is 15 feet longer than the width. If the room's perimeter is 250 feet,
what are the room's dimensions?
Width = 70 ft; length = 280 ft
Width = 55 ft; length = 70 ft
Width = 70 ft; length = 35 ft
Width = 55 ft; length = 220 ft
Answers
Answer:
B. Width = 55ft; length = 70ft
Step-by-step explanation:
it is the only one in which the length is 15 ft longer than that of the width.
horace’s speedometer reada 60 miles per hour, but during a road test he finds that he was actually driving 58 mph. what is the percent error in horace’s speedometer?
Answers
Answer:
3.4%
Step-by-step explanation:
It rained 20% of the time during Sping. There are 90 days in Spring. How many total dayd did it rain?
Answers
Answer: 18 days
Step-by-step explanation: you multiply 90 by 0.2 and you get 18
Write −1.5⎯⎯ as a mixed number in the simplest form.
Answers
Answer:
1 1/2
Step-by-step explanation:
to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers
larger two degit number is --------
Answers
Answer:
99
Explanation:
The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number
Find the x-intercept of the following equation. Simplify your answer
x − 7y = –10
x-intercept =
Answers
The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.
since x − 7(0) = –10
⇒ x − 0 = –10
x = -10
This makes the x-intercept of x − 7y = –10 (-10, 0).Find the measure of the missing angles
Answers
Answer:
m∠1 = 63
m∠2 = 49
m∠3 = 87
m∠4 = 44
Step-by-step explanation:
Angle 2 and 49 are similar
Angle 2 = 49
Angle 1 + 49 + 68 = 180
180 - 49 - 68 = Angle 1
180 - 49 - 68 = 63
Angle 1 = 63
Angle 3 + 93 = 180
180 - 93 = Angle 3
180 - 93 = 87
Angle 3 = 87
Angle 4 + 49 + 87 = 180
180 - 49 - 87 = Angle 4
180 - 49 - 87 = 44
Angle 4 = 44
Step-by-step explanation:
A straight angle measures 180°.
m∠3 = 180 - 93
m∠3 = 87
The sum of the three angles of any triangle is equal to 180°.
m∠4 = 180 - (49 + 87)
m∠4 = 180 - 136 = 44
The vertically opposite angle.
so m∠2 = 49
The sum of the three angles of any triangle is equal to 180°.
m∠1 = 180 - (68 + 49)
m∠1 = 180 - 117 = 63
please give me a brainliest answer
Edward has a hot dog stand. Last week he spent $13 for hot dogs and
supplies. He earned $25. What was his profit? answer:
Answers
25-13=12
hi please help me thanksss
pls provide workings too thanks :)
Answers
Step-by-step explanation:
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Class 11
>>Maths
>>Trigonometric Functions
>>Trigonometric Equations
>>Solve for x: sin x + sin 2x...
Question
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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.
Medium
Solution
verified
Verified by Toppr
We write the given equation as
(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x
or 2sin2xcosx+sin2x=2cos2xcosx+cos2x
or sin2x(2cosx+1)=cos2x(2cosx+1)
or (sin2x−cos2x)(2cosx+1)=0
∴sin2x−cos2x=0 or 2cosx+1=0
If sin2x−cos2x=0, then tan2x=1,
Hence 2x=nπ+π/4
or x=(4n+1)
8
π
.(1)
If 2cosx+1=0, then cosx=−1/2 (2)
∴x=2nπ±
3
2π
or x=
3
6n±2
π
We seek values of x in the interval 0≤x≤2π
In this interval (1) gives
x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)
and (2) gives x=2π/3,4π/3. (for n=0,1)
Thus we get the answer
x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.
pls give the steps and the reasons
Answers
Answer:
m<ADB = m<DBC
because they're alternate interior angles.
m<ABD = m<BDC
because they're alternate interior angles.
DC = AB, opposite sides.
AD = BC, opposite sides.
m<ADB = m<ABD, adjacent angles.
m<BDC = m<DBC, adjacent angles.
What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula
Answers
x^-16=9
(x-4) (x+4) + 0
x-4=0
x = 4
x+4=0
x = -4
RIGHT
ACUTE
OBTUSE
EQUIANGULAR
Answers
Step-by-step explanation:
option B is correct answer ( Acute angle triangle)
hope this helps you.
Answer:
Acute triangle
Step-by-step explanation:
Acute triangle have less than 90 degrees
Solve for x. 8x-6+11+12x=180
Answers
Answer:
x=35/4
Step-by-step explanation:
20x +5=180
20x=180-5
20x=175
x=175/20=35/4
Answer:
[tex]x=8.75[/tex]
Step-by-step explanation:
[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1
Answers
Answer:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)Determine the slope (m):
[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]
The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
To find the y-intercept, plug in the given point (6,14) and solve for b:
[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]
Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
I hope this helps!
20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answers
Answer:
x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
12x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 12 × - 5 = - 60 and sum = + 4
The factors are - 6 and + 10
Use these factors to split the x- term
12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )
6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(6x + 5) = 0
Equate each factor to zero and solve for x
6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
[tex]A(4,5) and B (3,4)\\[/tex]Find distance betweentwo points A(4,5) and B (3,4)
Answers
Answer:
√2
Step-by-step explanation:
given points are,
A = (4,5)
B = (3,4)
we know,
D = √(x_2 - x_1)² + (y_2 - y_1)²
→ √(3-4)² + (4-5)²
→ √(-1)² + (-1)²
→ √1 + 1
→ √2
therefore, distance between A and B is √2.
hope this answer helps you dear...take care and may u have a great day ahead!
i need help on this
please give me solving steps
trying to solve for X
Answers
Answer:
10
Step-by-step explanation:
Given is an isosceles triangle and so:
3x + 20 = 5x export like terms to the same side of the equation
20 = 5x - 3x
20 = 2x divide both sides by 2
10 = x
which of the ratio equivalent to 1:3 select all that apply
Answers
Answer:
4:12
6:18
8:24
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.
It is roughly 5,900 miles to fly from Denver to Rio de Janeiro. If it takes the airplane roughly 12 hours to reach its destination of Rio de Janeiro, what was the average speed of the airplane in feet per hour?
Answers
Answer:
I think I know !
Step-by-step explanation:
Find the slope of the line
(2,3) (13,8)
Answers
Answer:
[tex]\boxed{m=\frac{5}{11}}[/tex]
Step-by-step explanation:
[tex]\left(2,\:3\right)\:\left(13,\:8\right)[/tex]
[tex]\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:3\right)[/tex]
[tex]\left(x_2,\:y_2\right)=\left(13,\:8\right)[/tex]
[tex]Slope(m)=\frac{8-3}{13-2}[/tex]
[tex]m=\frac{5}{11}[/tex]
What is the y-intercept of the equation 2x + 4y = -16?
1. -16
2. -8
3. -4
4. -2
Answers
Answer:
3) -4
Step-by-step explanation:
Hi there!
2x + 4y = -16
The y-intercept occurs when x=0. Replace x with 0 and solve for y:
2(0) + 4y = -16
4y = -16
y = -4
Therefore, the y-intercept is -4.
I hope this helps!
Write an equation of the line that is parallel to the y-axis and passes through the point (−3,1). Then determine whether the slope of the line is positive, negative, zero, or undefined.
Answers
Answer:
equation : x = -3
slope : undefined
Step-by-step explanation:
The equation says that it is parallel to y-axis, meaning all the x values are the same. the slope is undefined because of (HOY / VUX)
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44. How much was one late fee?
One late fee was $
Answers
Answer:
11
Step-by-step explanation:
44 dollars after 4 days so 44 divided by 4 = 11
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
help pls
Answers
Answer:
19y - 9
Step-by-step explanation:
- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3
= 12y - 9 + 7y ← collect like terms
= 19y - 9
This graph gives the temperature of Substance B over time.
What is the slope of the line, and what does the slope mean in this situation?
Select from the drop-down menus to correctly complete the statement.
The slope is , which means that the temperature by degrees every
Answers
Answer:
The slope is (4) which means that the temperature (increases) by (4) degrees every minute
Step-by-step explanation:
Mikala initially launches a toy rocket from a height of 3 feet above the ground. After 2 seconds, the rocket reaches its highest point of 11 ft and then returns to
the ground
.
• Create a model that can be used to determine the height of the toy rocket at a given time. Define your variables and show your work or explain how your
equation models the situation.
• Use the model to determine at what time the toy rocket will land on the ground. Show your work or explain your answer.
Enter your answers and explanations in the box.
Answers
[tex]y = -2x^2 + 8x + 3[/tex]
Using the model above, it is found that it lands on the ground after 4.35 seconds.The equation of a quadratic function of vertex (h,k) is given by:
[tex]y = a(x - h)^2 + k[/tex]
The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:
[tex]y = a(x - 2)^2 + 11[/tex]
The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.
[tex]y = a(x - 2)^2 + 11[/tex]
[tex]3 = 4a + 11[/tex]
[tex]4a = -8[/tex]
[tex]a = -\frac{8}{4}[/tex]
[tex]a = -2[/tex]
Then:
[tex]y = -2(x - 2)^2 + 11[/tex]
In standard format, the model is:
[tex]y = -2x^2 + 8x - 8 + 11[/tex]
[tex]y = -2x^2 + 8x + 3[/tex]
It hits the ground when [tex]y = 0[/tex], so:
[tex]-2x^2 + 8x + 3 = 0[/tex]
[tex]2x^2 - 8x - 3 = 0[/tex]
Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]
Time is positive, so it lands on the ground after 4.35 seconds.
A similar problem is given at https://brainly.com/question/17987697
Solve the following quadratic equation.
d²-5d+6=0
Answers
Answer:
[tex]d=2[/tex] and [tex]d=3[/tex]
Step-by-step explanation:
[tex]d^2-5d+6=0[/tex]
[tex](d-2)(d-3)=0[/tex]
[tex]d=2[/tex] and [tex]d=3[/tex]
Which graph shows the solutions to |x − 2| = 2 ?
Answers
Answer:
I think that the answer is B.
Step-by-step explanation:
go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.
describe a pattern or sequence 5, 3, 1, -1...
Answers
Answer:
Step-by-step explanation:
The first member of the pattern is 5
Thereafter, you subtract 2 from the member on the left
5 - 2 = 3
3 - 2 = 1
1 - 2 = - 1