Answers
The true statements are:
1) The relationship is proportional
2) y = -3x is equation of the line.
3) The slope is negative.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
A graph of the line is given.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
And line passes through the points (4, -12) and (6, -18).
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = -3
The slope is negative.
Then the equation of the line is,
y + 12 = -3(x -4)
y + 12 = -3x + 12
y = -3x
This equation shows the proportional relationship.
Therefore, all the required values are given above.
To learn more about the slope;
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Related Questions
What is the area of this shape?
units squared
Answers
Answer: 19 units squared
Step-by-step explanation:
1) Use Area= 1/2bh to get the area of the two triangles, 15 and 4
2) Add the areas together
Answer:
19 units squared
Step-by-step explanation:
I have attached an image that explains the process.
Essentially we split the shape into 3 triangles, and solve the area of each, and add them up.
The top right triangle is 3 x 5. So A = (3 x 5) / 2 = 7.5
The bottom right triangle is a copy of the top right. So that A = 7.5
The triangle on the left is 4 long and 2 high. So A = (4 x 2) / 2 = 4 units.
Total area is:
7.5 + 7.5 + 4 = 19 units squared.
hi can someone do this and explain how to do it
Answers
Hope this helps!
write the equation of the line in slope intercept form .
Answers
Answer:
Step-by-step explanation:
Points are (0,-2)(3,0)
Slope intercept form is y=2/3x-2
The points (-1, -3) and (2, r) lie on a line with slope 3. Find the missing coordinate r
Answers
Answer:
6
Step-by-step explanation:
y+3/2+1= y+3/3
what can be divided by 3 to then equal 3? 9
9-3+6
6+3/2+1=9/3
9/3=3
12points I will give pls help
Answers
Answer:
[tex]\\ m=3[/tex]
Step-by-step explanation:
[tex]\\ m=\frac{y_2-y_1}{x_2-x_1}\\\\ m=\frac{2-(-1)}{0-(-1)}\\\\ m=\frac{2+1}{1}\\\\ m=3[/tex]
Hope this helps you. Have a nice night.
which expression is equivalent to
(2m+3)(4m-1)
Answers
Answer:
8m^2+10m-3
Step-by-step explanation:
8m^2+10m-3
The slope of the line is
Answers
Answer:
(-1,1)(2,-8)
Step-by-step explanation:
-1-2=-3
1-8=-7
the slope of the line is (-3,-7)
correct me if i am wrong and also refresh your screen because i had changed my answer after i had noticed the second plotted point
1. What is the length of
s?
60"
12
Answers
Answer:3 I think
Step-by-step explanation:
Five more than a number is 25. What is this number?
Answers
Answer:
5
Step-by-step explanation:
let the number be a.
5a=25
divide both sides by 5
5a=25
5divide by 5a is a.
5divided by 25 is 5
therefore,a=5.
the number is 5
Which answer choice shows sixty-one ten thousandths in standard form?
A
61,000
B
0.061
C
0.0061
D
0.00061
Answers
Answer:
The answer is C. 0.0061
Step-by-step explanation:
because sixty-one ten thousandths in standard form is 0.0061
Determine the area of the sector of a circle in the following diagram (round to the nearest tenth):
A =
Answers
Answer:
1,848 units²
Step-by-step explanation:
360° ÷ 120° = 3
A = πr²
A = [tex]\frac{22}{7}[/tex] × 42² = 5,544
The area of the sector of a circle is 5,544 ÷ 3 = 1,848 units²
La rueda delantera de una moto mide 50cm de diámetro. ¿Qué distancia ha recorrido la moto si la rueda ha dado 120 vueltas? ¿Cuántas vueltas ha dado la rueda trasera si su diámetro es de 60cm?Trace la gráfica del problema.
Answers
Answer:2.8333333
Step-by-step explanation:
Erin goes to a pumpkin patch and picks out a pumpkin that weights 4.250 grams. How many kilograms does the pumpkin
weigh?
Answers
Answer:
0.0043
Step-by-step explanation:
Answer:
0.00425 kilograms
Each set of ordered pairs represents a function. Write a rule that represents the function (0, 0), (1, 1), (2, 4), (3, 9), (4, 16)
Answers
You can find y by multiplying x by itself twice. For instance, 4^2=4 x 4=16.
Hope this helps✨❤️
The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the same. The domain stays the same, but the range changes. The range stays the same, but the domain changes.
Answers
Answer:
its b friends :)
Step-by-step explanation:
If the function shown is reflected across the y-axis create a new function. Both the range and domain stay the same.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, the function shown is reflected across the y-axis to create a new function. We have to state the domain and range of each function.
The domain and/or range of a function will change when it is transformed. Only the domain will change if the inputs are only transformed. Only the range will change if the transformation only affects the outputs. The domain and range will change if the inputs and outputs are transformed simultaneously.
Thus, if the function shown is reflected across the y-axis creates a new function. Both the range and domain stay the same.
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Which of the following are square roots of –8 + 8iStartRoot 3 EndRoot? Check all that apply.
Negative 2 + 2 I StartRoot 3 EndRoot
Negative 2 minus 2 I StartRoot 3 EndRoot
2 + 2 I StartRoot 3 EndRoot
Negative 4 + 4 I StartRoot 3 EndRoot
4 minus 4 I StartRoot 3 EndRoot
4 + 4 I StartRoot 3 EndRoot
Answers
Answer:
the answer is the 2nd and 3rd option
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The square root of -8 + 8i√3 have
√2(-4 + 4i√3)
or
√4(-2 + 2i√3)
Options A and D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The square root of -8 + 8i√3
This means,
= √(-8 + 8i√3)
= √2(-4 + 4i√3)
or
= √4(-2 + 2i√3)
Thus,
The square root of -8 + 8i√3 have
√2(-4 + 4i√3)
or
√4(-2 + 2i√3)
Options A and D is the correct answer.
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complete the statements below about the graphs of y=-2x and y=x
Answers
Answer:
Compared to the graph of y = x, the graph of y = -2x is steeper.
Compared to the graph of y = x, the graph of y = -2x intersects the y-axis at the same point.
Compared to the graph of y = x, the graph of y = x + ⅔ is equally steep.
Compared to the graph of y = x, the graph of y = x + ⅔ intersects the y-axis at a higher point.
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:
PLS PLS PLS PLS PLS I GIVE ALL MAH POINTS
Answers
125 = 5³, and the given expression reduces to
[tex]\left(\sqrt{125}\right)^{\frac13}\cdot\left(\sqrt[3]{125}\right)^{\frac12}=\left(125^{\frac12}\right)^{\frac13}\cdot\left(125^{\frac13}\right)^{\frac12}=125^{\frac16}\cdot125^{\frac16}=125^{\frac13}[/tex]
so it has a value of 5.
Now:
• the first choice is equivalent, since 625 = 25², so
[tex]\dfrac{\sqrt[3]{625}}{5^{\frac13}}=\dfrac{25^{\frac23}}{5^{\frac13}}=\dfrac{5^{\frac43}}{5^{\frac13}}=5[/tex]
• the second choice is not equivalent, since
[tex]5 \cdot 25^{\frac13} = 5 \cdot 5^{\frac23} = 5^{\frac43}[/tex]
• the third choice is also equivalent, since
[tex]\dfrac{\left(\sqrt[4]{5}\right)^7}{125^{\frac14}}=\dfrac{5^{\frac74}}{5^{\frac34}}=5[/tex]
• the fourth choice is also equivalent, since
[tex]\dfrac{5^{\frac12}\cdot25^{\frac13}}{\sqrt[6]{5}}=\dfrac{5^{\frac12}\cdot5^{\frac23}}{5^{\frac16}}=\dfrac{5^{\frac76}}{5^{\frac16}}=5[/tex]
Renzi can type 50 words per minute. Samuel can type 45 words per minute. If Renzi and Samuel each type for 20 minutes, about how many more words can renzi type?
Answers
Answer:
100
Step-by-step explanation:
(50-45)*20
=5*20
=100
PLEASE GIVE BRAINLIEST
Answer:
Renzi can type 100 more words than Samuel
Step-by-step explanation:
PLZ MARK BRAINLIEST!!!
Which inequality is represented by this graph
Answers
Answer:
The answer is C
Step-by-step explanation:
The sum of 6 consecutive even numbers is 126.
What is the fourth number in this sequence?
Answers
Answer:
The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.
Give an example of two integers that make a zero pair. Explain how they are additive inverses.
Answers
Answer:
-6+6=0
-10-(-10)=0
Step-by-step explanation:
Hope that helps!
An example of two integers that make a zero pair is 6 and -6.
They are additive inverses because they sum up to zero
For two integers to make a zero pair:
They must be equal in magnitudeThey must have opposite signsLet the first number be represented by x
For one to be the additive inverse of the other, the second number must be -x.
x + (-x)
= x - x
= 0
An example of integers that make a zero pair 6 and -6
6 + (-6)
= 6 - 6
= 0
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Least to greatest -5.9, 23/4, 5.9, 58%,
Answers
Answer:
-5.9,58%,23/4,5.9
Step-by-step explanation:
-5.9,5.75,5.9,0.58
Answer:
-5.9, 0.58, 5.75, 5.9
Step-by-step explanation:
Begin by writing all four numbers into the same form.
We'll start with -5.9.
Next, 23/4 = 5 3/4 or 5.75
Next: 5.9 stays as such
Finally, 58%, a percentage, changes to 0.58
Then the four numbers are:
-5.9, 5.75, 5.9 and 0.58
-5.9 is the smallest (and is positioned furthest from the origin to the left.
0.58 is the next smaillest; it's positive, whereas -5.9 is negative.
The next two numbers are
5.75 and
5.9
Least to greatest, we have -5.9, 0.58, 5.75, 5.9
the last customer of the day is a loyal customer who brings in a $15.00 off coupon. She purchases two paint brushes, one dozen colored pencils, and one sketch book. What percent did she save by using her coupon?
Answers
What is the slope of the line.
Answers
Answer:
-4/5
Step-by-step explanation:
The slope of the graph is -4/5. The slope is the change in y over the change in x. The y-value decreases by 4 and the x-value increases by 5. So the slope is -4/5. One visual way to check this is to remember that slopes that are fractions will make the line flatter, while numbers with absolute values greater than 1 make the slope steeper.
Solve the following:
-12 = 6(-3) + 8
Answers
Step-by-step explanation:
the left -12 does not equal to right side -28 which means that the given statement is false.
PLS HELP! WILL GIVE BRAINLIEST! 70 PTS! pls only answer if you know
Completing the Square
Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answers
Answer:
25, 5
Step-by-step explanation:
x^2-30x+225=-125+225
x^2-30x+225=100
(x-15)^2=100
First answer:
x-15=+10
x=25
Second answer:
x-15=-10
x=5
List the angles in order from shortest to longest.
De, CE, CD
Answers
Answer:
CE, CD, DE
Step-by-step explanation:
Answer:
The angles in order will be CE, CD, DE
Hope this helped!
May i have brainliest !
a basketball team won 60% of their games this season. If the team won 18 games this season, how many games did they play?
A.16 games
B.30 games
C.42 games
D.78 games
Answers
Answer:
B) 30 games
Step-by-step explanation:
All you need to do is divide the games won by the percent won (make sure to change the percent into a decimal)
18/ 0.6 = 30
Answer:
66666666666666666666666666666666
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!!!
Answers
Answer:
its c
Step-by-step explanation: