The equation of the line that is parallel to y = 2/3x + 19 and passes through (-9, 4) is: y = 2/3x + 10.
How to Write the Equation of Parallel Lines?Two lines that are parallel have equal slope (m).
In the slope-intercept form of the equation of given line, y = mx + b:
m = slope of the lineb = y-intercept of the line.Given:
A point (-9, 4)
Equation, y = 2/3x + 19.
The slope (m) = 2/3.
The line that passes through (-9, 4) and is parallel to y = 2/3x + 19 would also have a slope (m) = 2/3.
Substitute (x, y) = (-9, 4) and m = 2/3 into y = mx + b to find the value of b:
4 = 2/3(-9) + b
4 = -6 + b
4 + 6 = b
b = 10
To write the equation, substitute m = 2/3 and b = 10 into y = mx + b:
y = 2/3x + 10.
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Find the number that makes the ratio equivalent to 4:5. 28:_
Answer:
7
Step-by-step explanation:4*7=28
Therefore 5*7=35
28:35= 4:5
I need help on my homework it's hard
Answer:
3913
Step-by-step explanation:
Step:1 setup
set up your multiplication problem like this
91
43
X_______
Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:
0
91
43
x_______
3
Step 3:Multiply
3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:
91
43
X
----------
273
step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:
91
43
X
_______
273
+ 0
Step 5: Multiply
4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:
0
91
43
x
________
273
+ 40
Step 6:Multiply
4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:
91
43
x
__________
273
+ 3640
Step 7: Add to get answer
Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:
91
x 43
_________
273
+ 3640
____________
= 3913
Solve this equation -4(X-26)=-200
Answer:
x = 76
Step-by-step explanation:
First, distribute -4:
-4x + 104 = -200
Isolate x:
-4x = -200 - 104 = -304
x = -304/-4 = 76
Help please basic geometry
From the diagram in the image below, it can not be assumed that A C D is a right angle. Option A
This is further explained below.
What is a triangle's right angle?Generally, In a triangle, a right triangle, also known as a right-angled triangle, an orthogonal triangle, or what was previously known as a rectangle triangle, is a triangle in which either one of the triangle's angles is a right angle or two of the sides are perpendicular to one another.
The relationship between the sides of a right triangle and the other angles provides the foundation for the study of trigonometry.
In conclusion, It is not possible to deduce from the diagram in the figure below that the angle ACD are right angles. Alternative A
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Determine whether the relation is a function (explanation please)
A function is defined as a relation where each input value is paired with exactly one output value. The input -1 has 2 outputs, thus the relation is not a function.
What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?
The equation of the line is y = 3x + 6
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The given parameters are
Slope, m = 3
y-intercept, c = 6
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = mx + c
So, we have
y = 3x + 6
Hence. the linear equation is y = 3x + 6
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Which of the following is a binomial in y
(1) y² + √2
1
(2) y + +2
y
(3) √5 + √2y
(4) y√y+1
Answer:
Binomial polynomial means that no negetive power on the no
(1) y² + √2 is correct answer
Witch is the equation of the given line?x = -3x = 3y = -3 y = -3x
y=-3
1) Since the graph shows us a horizontal line, where any value of x corresponds to y=-3
(2, -3), (3,-3) etc..
2) Then we have a constant function. y=-3
Answer:
y = - 3
Step-by-step explanation:
the line is horizontal and parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through.
the line passes through (- 4, - 3 ) and (2, - 3 ) both with y- coordinate - 3 , so
y = - 3 ← equation of line
Factor completely.
25 - 9x²
IF YOU CHECK YOU WILL FIND THAT THIS IS A DIFFERENCE OF TWO SQUARES
[tex] = (5 - 3x)(5 + 3x)[/tex]
ATTACHED IS THE SOLUTION
Can someone please help me with this problem?
The sum of a number and its half is thirty. Find the number
Answer:
20
Step-by-step explanation:
The sum of a number and its half is thirty. Find the number:
the formula would be:
1.5x = 30
divide both sides by 1.5:
1.5x/1.5 = 30/1.5
x = 20
check:
20 = 20
1/2 of 20 = 10
20 + 10 = 30
Answer:
x+0.5x=30
1.5x=30
x=20
If f(x)=-x and j(x)=f(x)+19 list the following attributes
f(x): Slope Y-intercept Zero J(x) Slope Y-intercept Zero
The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If f(x) = - x and j(x) = f(x) + 19
Then the function j(x) will be given as,
j(x) = f(x) + 19
j(x) = - x + 19
The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.
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The function $d(t)=300,000t$ represents the distance (in kilometers) that light travels in $t$ seconds.
a. How far does light travel in 15 seconds?
kilometers
b. How long does it take light to travel from the Sun to Earth?
Between
seconds and
seconds.
The distance of the light travels in 15 seconds is 4500000 kilometers.
How to illustrate the information?It should be noted that a function is simply used to illustrate the relationship between the variables that are given.
In this case, the function is given as d(t) = 300000t. Therefore, it should be noted that the distance of the light travels in 15 seconds will be:
d(t) = 300000t
where t = 15
d(t) = 300,000 × 15
distance = 4,500,000 kilometers
The distance is 4500000 kilometers.
Note that the second question wasn't written properly and hence can't be solved.
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Solve the following system of equations.
-8x -9y = 10
4x -5y = 14
(See picture attached)
Answer:
x=10 and y=-10
Step-by-step explanation:
-8x-9y=10
4x-5y=14
put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.
-5(-8x-9y=10)
-9(4x-5y=14)
the subtract the first equation from the second equation after multiplying.
40x+45y=-50
-
-36x+45y=-90
4x=40
x=10
Now get any equation from the two equations and find the value of y.
-8x-9y=10
-8*10-9y=10
-9y=10+80
-9y=90
y= -10
10(-8-2c) simplify expressions
which critical value is appropriate for a 99% confidence level where n17, is unknown, and the population appears to be normally distributed? question content area bottom part 1 a. 2.567 b. 2.921 c. 2.898 d. 2.583
The critical value that is appropriate for a 99% confidence level where n17, is unknown, and the population appears to be normally distributed is 2.921 (Option B).
What is the Critical Value in statistics?A Critical value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.
How did we arrive at the above conclusion?
We are given:
n=17, where n is the size of the set
df = n-1; (df means degree of freedom)
= 17-1
df = 16, at 99% confidence level.
Here we apply the t-test because the data is normally distributed.
∝ = 1-99% [Shere ∝ is the significance level)
= 0.01
∝/2 = 0.01/2
= 0.005
hence,
[tex]t_{\alpha /2} ,df[/tex] = [tex]t_{0.005}[/tex], 16 = 2.921. this is derived using the T-Table.
The above leads us to conclude therefore that Option B is correct.
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w = 2x squared + 1
workout the value of w when x = -3
Answer:
-35
Step-by-step explanation:
w = 2x^2 + 1
= (2 x -3)^2 +1
= -6^2 + 1
=-36 + 1
= -35
Darrel divided 575 by 14 by using partial quotients. What is the quotient? Explain your answer using numbers and words.
Answer: 41 1/14
Step-by-step explanation:
41R1 ==> 41 1/14
14|575
-56
____
15
-14
__
1
Show the relationship between -5/6 and -7/10. Use an inequality symbol.
[number] / [number] < Fraction btw not division
The relationship between -5/6 and -7/10 is -5/6< -7/10.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.
It is given that,
Fraction 1,
-5/6 = -0.83
Fraction 2,
-7/10 = -0.7
As we know the value of -0.7 is greater than -0.83.
As a result, the relationship is -5/6< -7/10.
Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.
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Please help me in your own words I only have 30 minutes
1) given
2) corresponding angle theorem
3) vertical angle theorem
4) transitive
a) Work out
Give
(5 x 10^3) * (9 x 10^7)
your answer in standard form.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(5\times10^3) \times (9\times10^7)}[/tex]
[tex]\mathsf{= (5\times 10\times 10\times 10)\times (9\times 10\times10\times10\times 10\times10\times10\times 10)}[/tex]
[tex]\mathsf{= (5\times 100\times 10) \times (9\times 100\times 100\times 100 \times 10)}[/tex][tex]\mathsf{= (5\times 1,000) \times {(9\times 10,000\times 1,000)}}[/tex]
[tex]\mathsf{= (5,000)\times(90,000\times1,000)}[/tex]
[tex]\mathsf{= (5,000)\times (90,000,000)}}[/tex]
[tex]\mathsf{= 5,000\times 90,000,000}}[/tex]
[tex]\mathsf{= 450,000,000,000}[/tex]
[tex]\mathsf{= 4.5\times10^{11}}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{4.5\times 10^{11}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
YOU GET 50 POINTS ANMD BRAINLEST IF YOU ANSWER THIS CORRECTLY
The equation 3(2x + 2) = 3x − 15 models the change in water level in a lake in one month. Solve for x, which is change in height in inches.
x = −7
x equals negative seventeen thirds
x = 3
x = 7
Answer:
x = -7
Step-by-step explanation:
Answer:
x=-7
Step-by-step explanation:
can someone help me with this
Answer:
if im not mistaken its $11
Step-by-step explanation: dint know how to explain but i think its correct
given a function f (x), what transformation(s) take place in the graph of -f (x + 4)?
Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.
What is the transformation of the function?We are told that a function f(x) undergoes transformation to get -f(x + 4).
Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.
Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.
Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.
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Elijah buys 112 words of exterior equipment from thestereo store there is a 2.5% processing fee for using a credit card what is the total cost of the stereo quitman
Given,
Elijah buys $112 worth of exterior equipment from the stereo store.
Processing fee for using the credit card = 2.5%
Therefore,
Total cost of the exterior equipment
= Worth price + procession fee
= 112 + 2.5% of 112
= 112 + 2.8
= 114.8
Hence, the total cost would be $114.8
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help i don’t get it
answers pls
The value of x in the given right-angled triangle is 13.
What is the value of x?A triangle is a polygon with three sides and three vertices. The sum of angles in a triangle is 180 degrees. A right triangle is a triangle in which one of its angles measure 90 degrees. The longest side of a right triangle is known as the hypotenuse.
180 = 39 + (3x + 12) + 90
Combine similar terms: 180 - 39 - 12 - 90 = 3x
Add similar terms together: 39 = 3x
Divide both sides of the equation by 3: x = 39/3
x = 13°
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100 points plus brainiest
The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.
x g(x)
1 81
2 83
3 85
Part A: Determine the test average for your math class after completing test 2. (2 points)
Part B: Determine the test average for your science class after completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)
after using each and every details of science class and maths class given in the question
solution of
part a - f(2) = 81
part b - g(2) = 83
part c - Test average for maths class after test 2 is greater
WHAT ARE FUNCTIONS ?Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.
CALCULATIONf(x) = 0.5x + 80
solving (A) f(2) = 0.5 * 2 + 80
= 1 + 80
= 81
solving (B) : g(2) =83 when x= 2
so :
g(2) = 83
solving (C) : which is greater f(2) or g(2)
in (a) and (b)
f(2) = 81
g(2) = 83
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Answer:
part a - f(2) = 81
part b - g(2) = 83
part c - average for maths class after test 2 is greater
Step-by-step explanation:
Got it right
Find perimeter PERMITER NOT AREA
Answer:
perimeter = 38 units.
Step-by-step explanation:
30 + 7.85
= 37.85
≈ 38 units
Answer:
37.85 (Assuming you are supposed to estimate pi)
Step-by-step explanation:
First, add the easy stuff:
10+10+5+5=30
Then, find the circumference of the circle:
c = 2 π r
c = 2(5)π
c = 10π
Divide by 4:
10π/4 ≅ 7.85
7.85 + 30 = 37.85
Use the number line to add the fractions.
Drag and drop the answer into the box to match the sum.
The value gotten when -1/2 is added to 2/3 is 1/6.
What is the sum of the fractions?Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.
[tex]-\frac{1}{2} + \frac{2}{3}[/tex]
[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]
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