write the equation of a line with a slope of 3 and a y-intercept of 4. do not use spaces in your response.
Answers
Answer:
No Spaces - y=3x+4
Step-by-step explanation:
Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )
The equation of the asked line is y = 3x+4
What is an equation?The equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given that, a line with a slope of 3 and a y-intercept of 4.
The standard equation of a line is;
y = mx+c
Therefore, putting the values we get,
y = 3x+4
Hence, The equation of the asked line is y = 3x+4
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Related Questions
What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)
Answers
Answer:
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
Step-by-step explanation:
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
:)
The vertices of the triangle after rotation are:-
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).
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8.) Mrs. Ruiz bought six 2-liter bottles of juice. How many dekaliters of juice
did she buy?
a.) 0,012 dekaliter
b.) 0.12 dekaliter
c.) 1,2 dekaliters
d.) 120 dekaliters
Answers
What is the factored form of x2 - 9x + 20?
Answers
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
The answer ;))))))))
Answers
Answer: option C: A1 = 50.3 in2; A2 = 113.1 in2; A3 = 176.7 in2
Step-by-step explanation: Please see the image below!
I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.
Answers
Answer:
1. b=√56
Step-by-step explanation:
1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²
which equals 169+b²=225 subtract 169 from both sides and we get b²=56
square root both sides and we get b=√56
Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions
Answers
Answer:
1) f(-10)f(x) = x²
f(-10) = (-10)²
f(-10) = 100
2) f(-7)
f(x) = x²
f(-7) = (-7)²
f(-7) = 49
3) f(-5)
f(x) = x³
f(-5) = (-5)³
f(-5) = -125
4) f(-3)f(x) = x³
f(-3) = (-3)³
f(-3) = -27
5) f(0)f(x) = √x
f(0) = √0
f(0) = 0
6) f(2)f(x) = √x
f(2) = √2
f(2) = 1.414
7) f(5)f(x) = 1/x
f(5) = 1/5
f(5) = 0.2
8) f(7)f(x) = 1/x
f(7) = 1/7
f(7) = 0.143
9) f(10)FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION
Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.
Answers
Answer:
The relationship is not proportional.
Step-by-step explanation:
To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.
y/x=c.o.p
c.o.p=constant of proportionality.
the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.
How do I solve this equation:
-5(n-1)=7(n+3)
Answers
First, distribute the 5 in the first parentheses.
-5n+ 5 = 7(n+3)
Next, distribute the 7 in the second set of parentheses.
-5n + 5 = 7n + 21
Subtract 7n from both sides.
-5n + 5 -7n = 21
Subtract 5 from both sides.
-5n - 7n = 21 + 5
Collect like terms.
-12n = 16
Divide both sides by -12
Answer -3/4
Answer:
-3/4
Step-by-step explanation:
The First step is to distribute the 7 in the second part of parentheses.
-5+5-7n=21
-5-7n=21+5
Then collect the terms
-12n=16
Lastly distribute both sides by -12
And the answer is -3/4
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answers
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
Find the length of AB
Give your answer to 1 decimal place
Answers
Answer: 6.452cm.
As 1 decimal place it would be 6.5cm.
Answer:
6.9 cm
Step-by-step explanation:
a^2 + b^2 =C^2
a^2 + b^2 = 8^2
6.9^2 +4^2 =64
47.61 + 16 = 64
47.61 about 48
Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5
Answers
Answer:
A, D, C, B.
5/9, 3/5, 2/3, 3/4.
Step-by-step explanation:
Covert to decimals:
5/9 = 0.555...
3/4 = 0.75
2/3 = 0.666...
3/5 = 0.6
So it is 5/9, 3/5, 2/3, 3/4.
Which is the approximate solution for the system of equations
8x-10y=-28 and 9x+10y=-16?
A(-2.3, 0.5)
B(-2.5, 1)
C(-2.3, 0.5)
D(-2.5, -1)
Answers
Step-by-step explanation:
work is shown and pictured
Solve the following systems of equations using the substitution method. What is the value of a? 3a-5b=10 a+7b=12 A) a=5 B) a=6 C) a=1 D) a=7
Answers
Answer:
a=5
Step-by-step explanation:
3a-5b=10
a+7b=12
multiply the second row with -3
-3a-21b=-36 now we gonna add this to the first row
3a-5b=10
_________+
-26b=-26 b=1 now we gonna put in one of the equations to find a
a+7b=12
a+7.1=12 a=5
Answer:
i hope its clear . the answer is a = 5
solve for y please !
Answers
Answer:3
Step-by-step explanation:
What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.
Answers
Answer:
90
Step-by-step explanation:
multiply 83 by .07 equals 5
then add 83 + 5= 88 rounded to nearest tenth = 90
A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?
Answers
Answer:
x=5
Step-by-step explanation:
5+2=7
5+8=13
13*7=91
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x [tex]\neq \\[/tex] -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43
Answers
Answer: the answer is A
Step-by-step explanation:
1st:subtract 42-14=28(the difference)
2nd: divide 42÷14=3
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)
Answers
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.
Chantal is making a relative frequency table from this data.
What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?
Divide 239 by 609.
Subtract 185 from 609, then divide by 609.
Divide 185 by 609.
Add 239 to 609, then divide by 609.
Answers
Answer:
C
Step-by-step explanation:
I think the answer is C,
since to find the relative frequency, you divide the specific frequency
(in this case people over 30 who prefer ocean swimming, 185 people)
by the # of values total
(all values recorded, which in this case is the 609 peoples' surveys)
so, divide 185 by 609, which is C
Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:
A)
(–1,–4)
B)
(1,–4)
C)
(–1,4)
D)
(–4,–1)
Answers
Answer:
c
Step-by-step explanation:
Which equation matches these solutions? x = 5, -7
Group of answer choices
(x + 5)(x + 7)=0
(x + 5)(x - 7)=0
(x - 5)(x + 7)=0
(x - 5)(x - 7)=0
Answers
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
The answer is the first one
Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression.
Please Help!!!! Due in 30 minutes!
Answers
Answer:
17.3
Step-by-step explanation:
1.5×6+8.3
=9.0+8.3
=17.3
hope it helps
Which function shows a fabric with a price of $1.25 per square yard?
Answers
Answer: n=1.25x
Step-by-step explanation:
X represent the number of yards and n represent the total amount
The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function.
Given that the
Price of fabric = $1.25/ yard
Let's say the price of fabric = y
Square yard = x
Then y = 1.25x so it will be the correct answer.
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What is the percent of increase for a population that changed from 25000 to 30000
Answers
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The population changed from 25,000 to 30,000. Then the percentage is calculated as,
P = [(30,000 - 25,000) / 25,000] x 100
P = (5,000 / 25,000) x 100
P = 0.20 x 100
P = 20%
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
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17. Five time as many girls as boys went to the dance. The total of 120 students went to
the dance.
a. If b represents the number of boys and g represents the number of girls, use
the numbers, variables, and symbols shown below to construct a system of
equations to model this situation. Some of the numbers, variables, and
operations will be used more than once and some will not be used at all.
b
g
+
10
3
4
1
5
120
2.
Answers
Answer:
[tex]b+g=120[/tex]
[tex]b+5b=120[/tex]
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
[tex]b+g=120[/tex]
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
[tex]g=5b\\[/tex]
Insert it in the previous equation to get
[tex]b+5b=120[/tex]
y= 3x+7
y = -2x-3
What would be the x and y for that solution
Answers
Answer:
So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.
y-y = (3x+7)-(-2x-3) =
0 = 3x+7+2x+3
0 = 5x+10
-10 = 5x
-2 = x.
Now we need to solve for y.
Plug it in for the first equation. -2*3+7 = -6+7 = 1
Test if we are correct and try in the second equation.
-2*-2-3 = 4-3 = 1
x = -2
y = 1
One-fourth of a certain number is removed from two- fifth of that number. if the result is 3, find the number.
Please Help It due soon.
Answers
Answer:
the answer is 20
Step-by-step explanation:
let the number be "x"
1st part = 2/5of x
2nd part = 1/4 of x
=) 2/5 x - 1/4 x = 3
=) lcm of 4 ,5 is 20
=) ( 2x * 4 ) - ( 1x *5) by 20 =3
=) 8x - 5x / 20 =3
=) 3x / 20 =3
=) 3x = 3 *20
=) 3x = 60
=) x = 60 /3
=) x = 20
the number is 20
Answer: 20
Step-by-step explanation:
2/5x -1/4x = 60
Multiply by 20 on both sides,
8x - 5x = 60
3x = 60
x = 60/3 = 20
HELP ASAP PLEASE need help
Answers
Answer:
4.10
Step-by-step explanation:
Cos 35 = AC/5
AC = 4.096
to the nearest hundredth
AC= 4.10
Answer:
AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5
Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.
B=[-0.3090 0.9511]
0.9511 -0.3090
72
108
144
Answers
Answer:
108
Step-by-step explanation:
Hope this helps! :)
Answer:
108
Step-by-step explanation:
Edge 2020
Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answers
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\\end{aligned}[/tex][Order of Operations] Simplify:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\\end{aligned}[/tex][Simplify] Combine like terms:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\\end{aligned}[/tex][Equality Properties] Divide both sides by 26:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\\end{aligned}[/tex][Equality Properties] Square root both sides:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\\end{aligned}[/tex][Simplify] Evaluate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13}\end{aligned}[/tex][Evaluate] Approximate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13} \\& \approx \boxed{3.9} \\\end{aligned}[/tex]
∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\\end{aligned}[/tex]Evaluate:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\& = \boxed{19.5}\end{aligned}[/tex]
∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:[tex]\displaystyle\begin{aligned}\text{Side Length} & = x \\& = \boxed{3.9}\end{aligned}[/tex]
∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
___
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___
Topic: Geometry
Unit: Triangles
