What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
find the binomial which is a common factor of:-
plz ans it fast...
Step-by-step explanation:
step 1. why are you in a hurry?
step 2. a binomial that is a common factor of 121 - 25x^2 and 25x^2 + 55x + 121.
step 3. the factors. of 121 - 25x^2 are (11 - 5x)(11 + 5x).
step 4. the factors of 25x^2 + 55x + 121 are (5x + 11)(5x + 11).
step 5. the common factor is 5x + 11.
40 POINTS!
3. Suppose a point at (2,3) is translated to (7,-1). What rule describes this translation?
O A. (x, y) + (x + 5, y - 4)
O B.(z,y) → (2 – 5,y + 4)
O c.(x, y) = (x + 9,y - 2)
O D. (x, y) → (2 – 9,y + 2)
I need help using the Expand Group and Factoring method on this problem.
27a^2+72a+28
Answer:
1 x (27a^2+72a+28) or 1(27a^2+72a+28)
Step-by-step explanation:
First find the GCF (greatest common factor) of 27a squared 72a and 28. It is 1 because there is nothing else that can go in.
So put 1 outside the parentheses and keep the terms
1 x (27a^2+72a+28)
PLZ HELP FAST IM CONFUSED
The cost of 5 cans of dog food is $4.35. At this price, how much does 24 cans of dog food cost?
Answer:
$20.88
Step-by-step explanation:
Answer:
$20.88
Step-by-step explanation:
4.35 / 5 = 0.87
0.87 x 24 = 20.88
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
To learn more about area of rectangle click :
https://brainly.com/question/15225905
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Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks. He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
Answer:
[tex]4 \frac{5}{12}[/tex]
Step-by-step explanation:
The computation of the number of hours practiced on the third week is given below:
= Total hours over the past 3 weeks - first week - second week
[tex]= 15 \frac{1}{3} - 5 \frac{1}{4} -5 \frac{2}{3}\\\\= \frac{46}{3} - \frac{21}{4} - \frac{17}{3}\\\\= \frac{184 - 63 - 68}{12} \\\\= \frac{53}{12}\\\\= 4 \frac{5}{12}[/tex]
Answer: is is correct
Step-by-step explanation:
Can someone help me with this problem. I have to show my work. Thank you.
Select the corect answer which expression has a value closest to 1 (Use 3.14 as the value of π.)
is this a muliple question? if so wheres the answers?
Answer:
dear the correct answers are not given so how can we choose ?
Please help! Complete answers please.
Answer:
m3 = 103 degrees
m4 = 77 degrees
Step-by-step explanation:
comment if you want me to explain please :)
The interior angles of ∆AUL (or any triangle for that matter) sum to 180°, so
∠3 + 20° + 57° = 180°
===> ∠3 = 103°
Angles ∠3 and ∠4 occur on the same ray LP, so they are supplementary to one another. In other words,
∠3 + ∠4 = 180°
so that
∠4 = 180° - 103° = 77°
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answer: 33.3%
Step-by-step explanation:
First find the difference between the players in try-outs over the years.
= 90 - 75
= 25
Then use this difference to find the percent increase:
= Difference / Players last years * 100%
= 25 / 75 * 100%
= 33.3%
Can someone plz help me!!
Answer:
145°
Step-by-step explanation:
upper left angle inside triangle is 180-137, or 43°
lower right angle inside triangle is 180-(43 + 102) or 35°
'?' measures 180 - 35 which is 145°
Can someone help me please
Answer:
625
Step-by-step explanation:
HELP! Please answer fast How many terms are in the geometric series 0.4 + 1.2 + 3.6 + ... + 7,873.2?
Answer:
10 terms. I think you should check the explanation :)
Step-by-step explanation:
0.4 + 1.2 + 3.6 + ... + 7,873.2?
So I figured that you have to multiply the terms by three to get the next term.
0.4 * 3 = 1.2
1.2 * 3 = 3.6
But, I know it will takes us a really long time to get to 7,873.2, so what I will do is jump 3 sequences.
So if I multiply by 3 to get the next term, I'll multiply by 9 to get the next two terms because 3 * 3 is 9.
So to jump three times, I will multiply by 27 to get the next three terms because 3 * 3 * 3 is 27.
0.4 + 1.2 + 3.6 + ...
3.6 * 27 = 97.2
0.4 + 1.2 + 3.6 + ..., ..., 97.2, ...
97.2 * 27 = 2624.4
0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, ...
Since we are getting close, I'm going to go back to multiply by 3.
2624.3 * 3 = 7873.2
0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, 7873.2
Now that we have reached 7873.2, we will now count the terms (count the sets of three dots as terms too).
There are 10 terms in the geometric sequence.
A 36 ounce box of cereal costs $3.50. Find the unit price.
$0.0972
I think.
Um this is to make it long enough to post. lol
Answer:
Approximately $0.10 per ounce
Step-by-step explanation:
Hi! :) I'm assuming this problem is asking for the price per ounce? If not, I apologize.
So, in order to determine the price of cereal per ounce we would simply divide $3.50 by 36 to find the cost per ounce.
$3.50 / 36 = approximately $0.09722222 which we can round up to $0.10.
Hope this helps!
Which of the following are properties of the circumcenter of a triangle? Check
all that apply.
A. The circumcenter is at the intersection of the perpendicular
bisectors of the triangle's sides.
B. The circumcenter of an obtuse triangle is always outside it.
M C. The circumcenter is equidistant from each vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Answer: A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
C. The circumcenter is equidistant fromeach vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.
Step-by-step explanation:
The properties of the circumcenter of a triangle from the options given include:
• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
• The circumcenter is equidistant fromeach vertex of the triangle.
• The circumcenter is equidistant from each side of the triangle.
Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.
how to find lateral surface and total surface area of triangular prism
Answer:
using the formula ...........duh
Answer:
Lateral Surface Area of a Triangular Prism Formula
Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.
Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
y/-9=1/18 solve for y
Answer:
y=-1/2
Step-by-step explanation:
Simplify negative 4 and 1 over 4 − negative 9 and 1 over 2. Help ;---;
Answer:
-53/4
Step-by-step explanation:
=-4+1/4-9+1/2
=-16+1-36+2/4
=-53/4
In ΔGHI, g = 790 inches, h = 200 inches and i=820 inches. Find the measure of ∠I to the nearest degree
urgenttttt !!!!
Answer:
92
Step-by-step explanation:
PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
Type your answer in the box.
Note: Type in only numeric part of the answer. Round your answer to the nearest hundredth.
Example: 12.70
Answer:
it says 15 points not 30
Step-by-step explanation:
Answer:
10.30
Step-by-step explanation:
Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]. The short leg(a) is 5 units long and the long leg(b) is 9 units long. CD is the hypotenuse, the longest side (c).
[tex]5^{2}[/tex] +[tex]9^{2}[/tex] =[tex]c^{2}[/tex]
25+81=[tex]c^{2}[/tex]
106=[tex]c^{2}[/tex]
[tex]\sqrt{106}[/tex] = [tex]\sqrt{c^{2} }[/tex]
10.29563014 = c
Rounded to the nearest hundredth, 10.30
To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.
5.12 = 5w, what is W
Answer:
The answer is 1.024
Step-by-step explanation:
5.12 divided by 5 = 1.024
Hope this helps.
−12 = −0.6k solve for k
Answer:
-20
Step-by-step explanation:
Step-by-step explanation:
-12=-0.6k
divide both sides by -0.6
k=20
lmk if this is right
A ladder is leaning against a building. The distance from the bottom of the
ladder to the building is 20 ft shorter than the length of the ladder. How high
up the side of the building is the top of the ladder if that distance is 10 ft less
than the length of the ladder?
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
Charlotte has 85 stickers. Her brother has x times more stickers than her. Write
an expression to show how many stickers her brother has.
?
Step-by-step explanation:
Her brother has 85 * x stickers.
X + 54 = 37 so X = ?
Answer:
x=-17
Step-by-step explanation:
x+54=37
-54. -54
x=-17
help quick due in 10 mins
Answer:
95
Step-by-step explanation:
We have the expression q over 19 = 5 and are asked to solve for q.
We have a dillemma here, q is in a fraction, to solve, all we need to do is get rid of this fraction. Since 19 is the denominator, we can multiply it by both sides :
[tex]\frac{q}{19} = 5[/tex]
19 * 5
95
Therefore :
q = 95