A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
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susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
Which set best describes the numbers used on the scale for a standard thermometer?
A real numbers
B whole numbers
C integers
D rational numbers
Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D
Answer:
B) A and C
Step-by-step explanation:
A and C are negative reciprocals of each other.
Can anyone help me with this (9+3n)+(7+4a)
Answer:
Step-by-step explanation:
(
9
+
3
)
+
(
7
+
4
)
(9+3n)+(7+4a)
(9+3n)+(7+4a)
Simplify
1
Rearrange terms
(
9
+
3
)
+
(
7
+
4
)
({\color{#c92786}{9+3n}})+(7+4a)
(9+3n)+(7+4a)
(
3
+
9
)
+
(
7
+
4
)
({\color{#c92786}{3n+9}})+(7+4a)
(3n+9)+(7+4a)
2
Rearrange terms
3
Eliminate redundant parentheses
4
Add the numbers
5
Rearrange terms
Solution
4
+
3
+
1
6
find the decimal number exactly halfway between 1.01 and 1.02
Answer:
1.015
Step-by-step explanation:
Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.
Answer:
0.01
Step-by-step explanation:
because if u subtract 1.01 from 1.02 it will give you the answer
Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution
The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
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How many solutions does a system of equations have when solving results in the statement 3=5
Answer:
No solutions
Step-by-step explanation:
Answer:
they usually have the sum of an answer that they divided
Step-by-step explanation:
solve for answer z/7+19>3.5
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?
Answer:
[tex]x = 14ft[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 21ft[/tex]
Model:
[tex]3\ ft = 2\ in[/tex]
Required
Determine the length of the replica
Represent the model as a ratio:
[tex]Ratio = 3\ in:2\ ft[/tex]
Convert to fraction
[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]
Represent the actual lengths as a ratio
[tex]Ratio = 21\ ft : x[/tex]
Where x is the length of the replica
Convert to fraction
[tex]Ratio = \frac{21\ in}{x}[/tex]
Equate both ratios (because they are in proportion)
[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]
[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]
Cross Multiply:
[tex]3 * x = 21 * 2\ ft[/tex]
[tex]3x = 42\ ft[/tex]
Solve for x
[tex]x = \frac{42ft}{3}[/tex]
[tex]x = 14ft[/tex]
Hence, the length of the replica is 14ft
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
1) Choose the correct answer.
Which of the following statements is NOT a reasonable statement about geometry?
A.You need to take geometry so you will learn how to drive farther and faster.
B.You need to take geometry so you will learn concepts about shapes and relationships that you
can apply to many jobs or careers in the future.
C.You need to take geometry so you will earn the credit toward graduation.
D.You need to take geometry so you will learn to apply logical reasoning skills that you can use
in almost every aspect of life.
Answer:
A
Step-by-step explanation:
Geometry has nothing to do with driving.
Can someone please help
Answer:
2x+7
Step-by-step explanation:
F(x+3)=2(x+3)+1
F(x+3)= 2x+6 +1 =2x+7
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is
either 4 or 20 or 34 units because translations
decrease or increase or preserve length.
Is the resulting lin segment 4 or 20 or 34? And do the translations decrease or increase or preserve? That is my question please help me.
Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
Describe something true about any pair of interior and exterior angles?
7. How many servings could you make if you had 3/4 cup of diced onion?
A. 4 servings
B. 15 servings
C. 9 servings
D. 12 servings
Answer:
D. 12 servings
Step-by-step explanation:
Normally, when working with fractions, I would like to make the denominators of both fractions the same.
[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings
[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings
[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings
round 0.927 to the nearest hundreth
Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
6/8w= -9/3
solve for w
pls hurry I need help I will give brainliest
Answer: w=−4
Step-by-step explanation:
hoped this helped
5−a+4a=
please show work :)
Answer:
5 + 3a
Step-by-step explanation:
5 - a + 4a =
5 + ( -a + 4a ) =
5 + ( 4a - a ) =
5 + ( 3a )
576 is 450% of what number ?
I will make you brainliest if correct. please explain how you got it if you can
PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
Answer:
ccccccccccccccccccccc
Answer:
y=2x+4
Step-by-step explanation:
If you look at the table y goes up by 2 every time x goes up by 1 and when x is 0 y is 4 so its y=2x+4
equivalent answers for 64 to the power of 2/3
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
Simplify (if you want to)
[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]
64 to the power of 2/3 is 16.
Karate Dojo charges $25 fee and $50 each month for Karate classes.
Write a linear equation that represents all of the charges from Karate Dojo.
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
Help PLS anybody good at GEOMETRY?!
NUMBER 15
Tamara is creating a model of a rectangle. She has ab26 inches of yellow ribbon to use for the border of the rectangle. She wants the length,/, to be 3 inches greater than the width,w. Which system of equations could tamara use to find the dimnesions of a rectangle that uses all of the ribbon
Answer:
L=8inW=5inStep-by-step explanation:
Step one:
given data
we are told that the border/perimeter of the yellow ribbon is 26in
let the width be x
W=x
and the lenght
L=x+3
Step two:
Required
The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.
we know that the perimeter of a rectangle is given as
P=2L+2W
26=2(x+3)+2x---------This is the expression required
26=2x+6+2x
26=4x+6
26-6=4x
20=4x
divide both sides by 4
x=20/4
x=5in
The width is 5in
The length is
L=x+3
L=5+3
L=8in
Find all solutions of
- 2r +4-8=0
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide