Answer:
y=3x+1 or 3x-y=-1
Step-by-step explanation:
Hello,
We are given the line 3y+x=-2, and we want to write an equation of the line that is perpendicular to 3y+x=-2, and contains the point (-2, -5)
First, we'll need to find the slope of 3y+x=-2, as perpendicular lines have slopes that multiply to -1
In order to find the slope of 3y+x=-2, let's convert the equation of the line from standard form to slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
y is isolated by itself in slope-intercept form, so let's subtract x from both sides of the equation
3y=-x-2
Now divide both sides by 3
y=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]
The slope of the line is -1/3
Now to find the slope of the line perpendicular to it, use this formula:
-1/3m=-1
Multiply both sides by -3
m=3
So the slope of the line perpendicular to it is 3
We can write the equation of this new line in slope-intercept form; substitute 3 as m in y=mx+b:
y=3x+b
Now we need to find b
As the equation passes through the point (-2, -5), we can use its values to help solve for b
Substitute -2 as x and -5 as y:
-5=3(-2)+b
Multiply
-5=-6+b
Add 6 to both sides
1=b
Substitute 1 as b:
y=3x+1
The equation can be left as this, or we can write it in standard form, if you wish
In standard form, x and y are on the same side; so we'll subtract 3x from both sides in order to have both variables on the same side
-3x+y=1
However, a (the coefficient in front of x) cannot be negative; so we'll multiply both sides by -1 to change the sign of the variable.
3x-y=-1
Hope this helps!
PLEASE HELP! I WILL GIVE BRAINLIEST <3
A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?
Answer:
10 <3
Step-by-step explanation:
Answer:
340ft
Step-by-step explanation:
So this is just the Pythagoren Theorem. a^2+b^2=c^2
340ft
Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
Sarasota 48 pounds of chocolate for a school fundraiser how many ounces of Candy did Sarah sale
Answer:
can you be more clear like add a photo?
Step-by-step explanation:
We need to convert 48lbs to ounces
1lbs=16ounces[tex]\\ \tt\hookrightarrow 48lbs[/tex]
[tex]\\ \tt\hookrightarrow 48(16)[/tex]
[tex]\\ \tt\hookrightarrow 768ounces[/tex]
help me or no branlest
Answer:
48 * 70% or use 48 * 0.7
Mario's plumbing company charges a flat fee of $40 to make a
house call, plus $25 per hour.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and y-values represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the y-intercept mean?
Answer:
Step-by-step explanation:
y = mx + b
m = $25 and b = $40
(a). y = 25x + 40 , where x-value is hours of work and y-value is total amount of money consumer will pay.
(c). The y-intercept is a flat fee.
Seventeen bicycles are produced each hour at the Speedy Bike Works. Show that the relationship between the number of bikes produced and the number of hours is a proportional relationship. Then enter an equation for the relationship, using x as the variable that represents the number of hours.
the two quantities are ____.
a.equal.
b.no equal.
The relationship ____.
a.is.
b.is not.
Answer:
17
34
17
17
equal
is
y = 17x
Step-by-step explanation:
After 1 hour , 17 bicycles are produced
After 2 hours, 34 bicycles are produced
Ratio of bikes produced per hour after one hour is
= no. of bikes produced after 1 hr / no of hours
= 17 / 1 = 17
Ratio of bikes produced per hour after two hours is
= no. of bikes produced after 2 hrs / no of hours
= 34 / 2 = 17
a. equal
b. is
equation of y is
no of bikes produced = (rate/ hour) * no of hours
y = 17 * x
the length of a rectangle is 5 less than 2 times its width, if the perimeter is 86ft, what is the length and width of the rectangle. Write and solve the equation
Answer:
Width: 16
Length: 27
Step-by-step explanation:
Let x be the width of the rectangle.
The length would then be 2x - 5
The perimeter is:
2x - 5 + x + 2x - 5 + x =
6x - 10 = 86
Solve.
6x = 96
x = 16
Thus,
Width: 16
Length: 27
__% of 4 is 7
hellpp
Answer:
175 %
Step-by-step explanation:
x % of 4 = 7
[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]
If one team had 7 players, how many players did the other team have
Answer:7
Step-by-step explanation:because each team has to be equal
convert the following measurements into
the indicated units
1.) 100 m^2
– as ft^2
2.) 2 km _____ ft
3.)2,057 grams - as kg
4.) 1.25 × 10-7 meters - as µm
5.) 6.58 × 104 meters - as km
6.) 2.78 × 10-1 grams - as mg
Answer:
1) 1076.4ft^2
2). 6561.68ft
3). 2.057kg
4). 1.25×10^-1
5). 6.58×10^1km
6). 278mg
Solve the equation for x.
x/5 = -8
Answer:
x = -40
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Multiply 5 to both sides of the equation:
(x/5) * 5 = (-8) * 5
x = -8 * 5
x = -40
x = -40 is your answer.
~
Answer:
[tex] \mathbb= > \frac{x}{5} = - 8[/tex]
[tex]\mathbb = > x = - 8 \times 5[/tex]
[tex]\mathbb = > x = - 40[/tex]
Pleaseeeeee solveee 25 points pleaze help geometry
Answer:
(-3/2, 6)
Step-by-step explanation:
(-3,8) (6,-4)
As we move along the line segment with endpoints (-3,8) and (6,-4) from (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).
for ratio of 1:5
Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).
So, the desired point is
(-3 + (1/6)(9), 8 - (1/6)(12) )
= (-3 + 3/2 , 8 - 2)
= ( (-6 + 3)/2, 6)
= (-3/2, 6)
for map reference see the image below
What is the equation of this line in standard form?
A: 9x−8y=23
B: 8x−9y=23
C: 8x−9y=−23
D: 8x−7y=−25
Answer:
B:8x-9y=23
Step-by-step explanation:
First find the slope:
m= y2-y1/x2-x1
y2 is 3
y1 is -1
x2 is 1/2
x1 is -4
3-(-1) is 4
1/2-(-4) is 9/2
Now the equation looks likes this:
4 / 9/2
Which can be rewritten as
4*2/9
Thus the slope is 8/9
So the equation is
y=8/9x+b
Now you can substitute to find the y-intercept:
(you can do either (-4,1) or (1/2,3)
I am going to do (1/2,3) since it is easier
3=8/9(1/2)+b
Simplify:
3=4/9+b
Subtract 4/9 on both sides:
b=23/9
Thus the equation is
y=8/9x+23/9
Multiply 9 on both sides:
9y=8x+23
Subtract 8x on both sides:
8x-9y=23
Hope this helps!
352 base 8 to base 10
352₈ = 3•8² + 5•8¹ + 2•8⁰
352₈ = 3•64 + 5•8 + 2•1
352₈ = 192 + 40 + 2
352₈ = 234
whats 50 times 100 the answer
Answer: 50 * 100 = 5000
Step-by-step explanation:
a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number
100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000
Answer: 5O x IOO = 5OOO
Step-by-step explanation:
5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.
how many miles did Candice bike on her route?
Answer:
200miles per hour andv50 9
My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.
Answer:
21 rows and two Blocks
1 row 42 Blocks
Step-by-step explanation:
Number of blocks with Annabelle = 42
First arrangement = 3 rows 14 blocks
Second arrangement = 6 rows 7 blocks
Solution
The other two factor pairs that could be used to rearrange the blocks again?
Solution:
Here, we will have to find the factor pairs of total number of blocks present with Annabelle.
i.e. 42
First of all, let us have a look at the factor pairs of 42.
Therefore, the other two factor pairs can be 2, 21 and 1, 42.
The other two possible factor pairs are:
21 rows 2 blocks
1 row 42 blocks
Find the base of
4+6 = 20
Answer:
So in base 5, 4+6 = 20
Step-by-step explanation:
Simplify.
3.4 + (–6.3)
–9.9
–2.9
2.9
9.9
Please answer
It’s Pythagoras btw
ASAP
Answer:
X=11.979425
Step-by-step explanation:
Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727
Write the equation of the graph shown below in factored form.
A. f(x) = (x+2)(x-1)(x-3)
B. f(x) = (x-2)(x+1)(x+3)
C. f(x) = (x+2)(x+1)(x+3)
D. f(x) = (x-2)(x-1)(x-3)
Answer:
a. f(x)=(x+2)(x-1)(x-3)
Step-by-step explanate
write a subtraction sentence where the difference is negative use a positive and negative integer
Answer:
Examples:
-5 - 2
-4 - 1
-8 - 6
Basically, the negative integer should be first with the higher greater absolute value.
Step-by-step explanation:
Answer:
-7-(-6)
Step-by-step explanation:
=-1.
it contains a positive and negative integer
On a sunny day Josée's shadow
is 2.9 m long, while the shadow
of a tower is 11.3 m long. If
Josée is 1.8 m tall, calculate
the height of the tower.
Answer:
sorry I don't know the answer to this question
Hiya! I need help i bet it says im in high school but im in middle school can you tell me what percent of 25 is 20 in middle school
Answer:
25 percent of 20 is 5 percent
Answer:
Step-by-step explanation:
percentage:
80%
messed up saying it was 125% so say thanks to the person who commented below mine-
PLEASE PLSASE ANSWER THIS
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°pls Round 2.382 to the nearest hundred
If 2.383 is rounded to the nearest hundred the answer is 2.38
[tex]\huge\bold\blue{2.38}[/tex]
Explanation:
2 - ones
. - decimal point
3 - tenths
8 - hundredths
2 - thousandths
8 is the digit in the hundredths place
look at the number on its right (which is 2)
if: < 5, just copy the number until the nearest hundredths.
if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths
Pecan producers blow air through the pecans so that the lighter ones are blown out. The
lighter-weight pecans are generally bad ("bad nuts") and the heavier ones tend to be better
D("good nuts"). These "blow outs" and "non-blow outs" are often sold to tourists along the
highway. Suppose that 50% of the pecan "blow outs" are good and 80% of the "non-blow outs"
are good.
a. If you purchase 30 pecans, what is the expected number of good nuts you will find if you
purchase "blow outs?"
b. If you purchase 30 pecans, what is the expected number of bad nuts you will find if you
purchase "non-blow outs?"
ng your
Answer:
yes
Step-by-step explanation:
How many different 5-digit PIN codes are there that only include the digits 6, 2, 5, 4, 8 and 7?
Answer:
First, there are NO 5-digit pin codes that include the digits 7, 2, 4, 6, 9, and 3. But, there are 720 pin codes that include 5 out of the 6 digits.
Can someone help please? Problem in picture
Answer:
I don't understand what you are asking
Step-by-step explanation:
<3
Sara was asked by Mr. Rocha to solve the equation below. − 3 x = y + 51 What is the value of x when y has a value of − 9 ?
Answer:
x = - 14
Step-by-step explanation:
Given equation
-3x = y + 51Putting the value of y
-3x = -9+51-3x = 42x = - 42/3x = - 14Hope it's helpful!
ᔕEᒪEᑎᗩ328
The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.
What is the equation?An equation is said to be linear if the maximum power of the variable is consistently unity.
More than one variable may be present inside a linear equation.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given equation,
-3x = y + 51
At y = -9
-3x = -9 + 51
-3x = 42
x = -14
Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".
For more about the equation,
brainly.com/question/10413253
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