Answer:
[tex]\boxed {\boxed {\sf y= \frac{1}{2}x-5 }}[/tex]
Step-by-step explanation:
Since we are given a point and a slope, we should use the point-slope equation.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is the point the line passes through.
We are given the slope of 1/2 and the point (4, -3). Therefore:
[tex]m= \frac{1}{2} \\x_1= 4\\y_1= -3[/tex]
Substitute the values into the formula.
[tex]y--3= \frac{1}{2} (x-4)[/tex]
[tex]y+ 3= \frac{1}{2} (x-4)[/tex]
Distribute the 1/2. Multiply each term inside the parentheses by 1/2.
[tex]y+3= \frac{1}{2} *x + \frac{1}{2} * -4[/tex]
[tex]y+3=\frac{1}{2}x-2[/tex]
We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.
[tex]y+3-3=\frac{1}{2}x-2-3[/tex]
[tex]y=\frac{1}{2}x-2-3\\y= \frac{1}{2}x-5[/tex]
The equation of the line is y=1/2x-5
SOMEONE PLS HELP THIS IS DUE SOON
Answer:
8.5
Step-by-step explanation:
since it is the same as ABC, 2x-1=16
add the 1 to both sides which gives you 2x=17
then divide each side by 2 which gives you x=8.5
now go submit!
Can someone help me pls? I need it done
Answer:
first one to the left, last one to the right
Step-by-step explanation:
Which expression is equivalent to 5/6c + 76c, if c+ 0?
Answer:
0
Step-by-step explanation:
If c=0
that expression also equals 0
ABC is a straight line
the length of
Answer:
Answer:
AB = 20 metres
BC = 60 metres
Step-by-step explanation:
Answer:
AB - 20 metres BC - 60 metres
Step-by-step explanation:
Help me plz Sadie is 63.5 inches tall. If 2.54 cm equals 1 inch, what is Sadie's height in centimeters?
Answer:
161.29 inches
Step-by-step explanation:
just multiply 63.5 by 2.54
The centimeter equivalent of Sadie's height is 142.875 cm.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Sadie is 63.5 inches tall and 2.54 cm equals 1 inch.
∴ Sadie's height in cm will be his height in inches multiplied by 1 inch equivalent of cm which is,
= (63.5×2.25) cm.
= 142.875 cm.
learn more about the unitary method here :
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what is the range and domain?
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
Step-by-step explanation:
The range is the set of possible output values, which are shown on the y-axis.
Jasmine is taking out a small business loan for her floral shop. She plans to apply for a $30,000 loan with a 5-year term and a 3.75% interest rate. She is unsure of her expected monthly profits, so she wants to know the benefit of a smaller loan. Using the loan amortization formula, how much money would Jasmine save over the life of the loan if she were to borrow $10,000 less?
Answer:
Monthly pay = int. rate / 12 months * cost of car after downpayment / (1-(1+ int. rate/12 months)^( - term length of loan )
Step-by-step explanation:
Just plug in your numbers:
M = 0.0375/12 * 30000/(1-(1+.0375/12)^60)
since 5 years is 60 months
im currently failing in algebra ;)
Answer:
its option A
Step-by-step explanation:
its the correct option
if a prime number is rooted then it gives an irrational number
Answer:
Ok so the answer is sqrt of 39 but think about
Step-by-step explanation:
sqrt81 is 9 which is a whole number it is rational
sqrt16 is 4 which again is a whole number and is rational
1.9 is rational because it can be written as a fraction or ratio
but sqrt39 is a repeating decimal that goes on forever it still is a real number not fitting into the imaginary category but not a ration number.
Select one the restricted domains of f(x)=(8−2x)2 that will make the inverse of f(x) a function. There may be more than one.
Answer:
[tex]x\leq 4[/tex] or [tex]x\geq 4[/tex]
Step-by-step explanation:
We are given that
[tex]f(x)=(8-2x)^2[/tex]
We have to find the restricted domain of f which make the inverse of f.
Substitute x=4
[tex]f(4)=0[/tex]
One-to-one function:
The function is called one-to-one when
[tex]f(x_1)=f(x_2)[/tex] for [tex]x_1=x_2[/tex]
The function is one-to-one when [tex]x\leq 4[/tex] or [tex]x\geq 4[/tex]
When the function is one-to-one then the function has inverse function.
If the function is not one-to-one then function has no inverse .
Therefore, the restricted domain of f which make the inverse of f(x) a function is given by
[tex]x\leq 4[/tex] or [tex]x\geq 4[/tex]
Solve for x 3+5x=18
Answer:
x=3
Step-by-step explanation:
3. Which graph indicates that one of the runners started 10 meters ahead of the other?
5
A
B
30
S
20
8
2
2
Time seconds)
5
C
D
8
8
De bringine
20
S
5
2
2
Tico
Times
Answer:
graph A
Step-by-step explanation:
Madeline is making beaded necklaces. she wants to use 32 beads to make 5 necklaces. if each necklace has the same number of beads, how many beads will she have leftover? (Long division)
Answer:
2 beads
Step-by-step explanation:
This is because 5 * 6 = 30
Meaning 5 necklaces with 6 beads each
Does the following table represent a FUNCTION?
X
y
-6
13
-4
18
-2
25
0
34
2
45
4
58
Answer:
19239 847463626161615 u 12234432485757
Step-by-step explanation:
por eso es 25
WILL GIVE BRAINLIEST PLZ HELP
Is the second picture right? (the new line is the blue one)
AnsweIt should be right
Step-by-step explanation:
Suppose a triangle has two sides of length 2 and 5 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
O A. J9
OB. 3
OC. 23
OD. 5
Answer:
please what did you put as the first option
Step-by-step explanation:
I think the answer is 29
solve for step by step 5x-2=23
What is the surface area of the cylinder with height 8ft and radius 5ft ? Round your answer to the nearest thousandth.
Answer:
answer:A=408.41ft2 ur welcome
Step-by-step explanation:
Complete the equation.
-6x2 + 15x – 6 = -3(2x - 1)(x + _)
A. 2
B. -2
C. -3
D. 6
What color is your hair and why have you dyed it over quarantine? My hair is now blue uwu
(2-3=-1)
my color hair is yellow and I don't dyed it
Answer:
my hair is rainbow and has been for a few weeks now. my brother came out gay and I dyed my hair to support him and now it won't wash now. it's pretty tho
can someone help simplify the following expression. 7t -3t + 4
A 4t + 4
B 7t - 1
D 10t + 4
C10 + 4
Solve the system of equations below by elimination.
(Show your work)
x+2y=−4
x+y=2
A rectangular tile measures 3 inches by 4 inches. What is the fewest number of these tiles that are needed to completely cover a rectangular region that is 2 feet by 5 feet
1 foot = 12 inches.
Convert the dimensions of the region to inches:
2 feet = 24 inches
5 feet = 60 inches
Area of region = 24 x 60 = 1,440 sq. In.
Area of tile = 3 x 4 = 12 sq. In.
Number of tiles needed = 1440/12 = 120
120 tiles are needed.
I have to solve a question using pythagorean theorem
Answer:
13
Step-by-step explanation:
c^2=12^2+5^2
c^2=144+25
c^2=169
c=13
8 : 16 = 1 : x
fill the x with an answer
Answer:
1 : 2
Step-by-step explanation:
Given
8 : 16 ← divide both parts of the ratio by 8
= 1 : 2 ← in simplest form
1. At the beginning of the year, Wayne could
type 30 words per minute. By the end of
the year, Wayne was typing 48 words per
minute. Was this an increase or decrease?
What is the percent change?
Increase word per minute and percentage changed are 18 word per minute and 60%
Given that;Beginning typing speed = 30 word per minute
Ending typing speed = 48 word per minute
Find:Increase word per minutePercentage changeComputation:Increase word per minute = Ending typing speed - Beginning typing speed
Increase word per minute = 48 - 30
Increase word per minute = 18 word per minutes
Percentage change = [18 / 30]100
Percentage change = [0.6]100
Percentage change = 60%
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Which of the following can NOT be written as an equation? *
A.Half the product of 8 and a number is 5
B.Two minus x plus three
C.Seven times p minus four is ten
D.Three is less than a number and six is four
Answer:
B.
Step-by-step explanation:
An equasion requires an equals sign (=) and B is the only choice written without one.
Hopefully this helps! ^^
Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST? 2 centimeters 4 centimeters 6 centimeters 8 centimeters
Answer:
6 cm
Step-by-step explanation:
Given that:
A line that contains the points R, S and T.
Distance between R and S = [tex]2x[/tex]
Distance between S and T = [tex]3x[/tex]
To find:
The distance between S and T = ?
Solution:
The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.
As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.
i.e. RS + ST = RT
[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]
ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm
Therefore, the answer is:
Distance between S and T is 6 cm.
If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters
Point S lies between points R and T on Line segment RT
RT = RS + ST
The space between R and S is 2x
That is, RS = 2x
The space between S and T is 3x
That is, ST = 3x
RT is 10 centimeters long
RT = 10cm
Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST
10 = 2x + 3x
10 = 5x
x = 10/5
x = 2
If x = 2, then
ST = 3x
ST = 3(2)
ST = 6 centimeters
Learn more here: https://brainly.com/question/20418953
HELPP! I need the answer quick .
Answer:
See below.
Step-by-step explanation:
The point needs to be 8 on the x-axis and -8 on the y-axis.
please how is this solved please
Answer:
63.4°
Step-by-step explanation:
Pole height = 1
shadow = 1/2
tan ∠CAB = 1 / (1/2) = 2
∠CAB = 63.4°
Which of the following best describes the equation below?
y = 3x3 + 6
A.
neither linear nor nonlinear
B.
nonlinear
C.
both linear and nonlinear
D.
linear