The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope of the lne(x1, y1) is any point on the line.Given the equation y = 3/2x + 1, the slope of the line is 3/5The slope of the line perpendicular is -5/3Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
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Determine the equation of the line.
Answer:
Y = 5x - 10
Step-by-step:
Leave a brainliest if this helped!
HELP PLZZZZZZZ with #1
Answer:
Option A, 300 - 20w
Step-by-step explanation:
In a week, she withdraws $20
in w weeks, she will withdraw ; w × 20
= 20w
Balance = Initial amount - Amount withdrawn
= 300 - 20w
Ready lesson 8 independent practice
Answer:
wdym???
Step-by-step explanation:
Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!
(x + a)^2 + b form can be achieved by a method known as completing the square.
Step 1: Divide the b term by 2 and square it
8 / 2 = 4
4^2 = 16
Step 2: Add and subtract 16 from the expression
---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.
x^2 + 8x + 16 + 14 - 16
x^2 + 8x + 16 - 2
Step 3: Factor the perfect square trinomial
(x^2 + 8x + 16) - 2
(x + 4)(x + 4) - 2
(x + 4)^2 - 2
Answer: (x + 4)^2 - 2
Hope this helps! :)
Which numbers are irrational numbers?
Select each correct answer.
Answer
Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.
Step-by-step explanation:
The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is ....
Answer:
[tex]i = \sqrt{ \frac{p}{r} } [/tex]
Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°
Answer:
A) 50°, 65°, 65°
B) 45°, 50°, 85°
C) 20°, 60°, 100°
Step-by-step explanation:
To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).
A) 50° + 65° + 65° = 180° (Good!)
B) 45° + 50° + 85° = 180° (Good!)
C) 20° + 60° + 100° = 180° (Good!)
D) 30° + 60° + 70° = 160° (Bad!)
E) 20° + 45° + 120° = 185° (Bad!)
Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are
Answer:
0 ≤ x ≤ 20.
Step-by-step explanation:
-10≤2x – 10 ≤30
2x - 10 ≤ 30
2x ≤ 40
x ≤ 20.
2x - 10 ≥ -10
2x ≥ 0
x ≥ 0.
For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.
For Example:
-10 ≤2x-10 Would be 0 ≤x
Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x
2x-10 ≤30 Would be x ≤20
Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20
So the answer would be 0 ≤ x ≤ 20
Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286
Answer:
154
Step-by-step explanation:
42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.
Please like and thank, hope this helps.
The number of customers that would shop for children's shoes during an average month is 154.
Number of randomly selected customers = 120
Number of customers willing to shop for children's shoes = 42
42 is what percentage of 120?As we know that percentage is the value per hundred.
So, (42/120) *100 = 35%
So, 42 is 35% of 120.
This means that 35% of customers are willing to shop for children's shoes.
Average customers per month = 440
35% of 440 = (35*440)*100
35% of 440 =154
So, the number of customers that would shop for children's shoes
during an average month =154.
Therefore, the number of customers that would shop for children's shoes during an average month is 154.
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PLZZ HELP FAST
Use the distributive property to fill in the blanks
Answer:
first blank : 6
second blank : 5
Step-by-step explanation:
5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5
Answer:
slope = -4/5 and y-intercept = -9/5
Step-by-step explanation:
make y the subject of the formula
10(x-2)+(6x-6)
Linear equations
Answer:
that's my answer
Step-by-step explanation:
16/60
please comment if I'm wrong
Find the gradient of the line segment between the points (-3,1) and (2,5). Give your answer in its simplest form.
Answer:
[tex]\displaystyle m = \frac{4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (-3, 1)
Point (2, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{5 - 1}{2 - -3}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{4}{5}[/tex]Mandy has $2.25 credit on her mobile phone. It costs $0.10 to send a text message. What is the largest amount of text messages she can possibly send to her friends with $2.25?
Answer:
22.5
Step-by-step explanation:
since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends
PLZ HELPPP
Use the distributive property to fill in the blanks below.
Answer:
4 - 3
Step-by-step explanation:
fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D
=4x+5y=-10
20x - 25y = 50
can someone help me. these are due tonight.
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
there are 60 balloons in a pack. 3/10 of the balloons are red. 1/3 of the balloons are yellow. the rest are blue. how many are blue?
Answer: 22 blue balloons
Step-by-step explanation:
IF 3/10 balloons are red out of 60, we have
[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total
1/3 of the balloons are yellow, 60/3=20 yellow balloons
Blue balloons= 60-18 (red)-20(yellow)=22
A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)
What is the iterative rule for this sequence?
A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1
Answer:
C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
Step-by-step explanation:
Iterative geometric sequence:
[tex]a_n=a_1x^{n-1}[/tex]
Recursive geometric sequence:
[tex]a_n=xa_{n-1}[/tex]
The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:
[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
And so the answer is C.
Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.
Answer:
KOF
Step-by-step explanation:
Khan Academy
Trust me
Answer:
KOF
Step-by-step explanation:
Khan academy
Can you prove that 4+2=5+1 is true without solving both sides of equation?
Answer:
Here you go...
Step-by-step explanation:
You have 4, and you have 5.
You have 4+2 and you have 5+1
So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.
Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.
FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).
So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)
The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)
Answer:
rectangle
Step-by-step explanation:
u can use a graph paper
Round 383.52 to the nearest tenth.
I just need this one answer from something, I'll give BRAINLY a lot to
Answer:
383.5
Step-by-step explanation:
We want to round 383.52 to the nearest tenth.
The tenth would be the 5.
To round we look at the number after the one we want to round ( so 2 )
If the number is greater than 4 so ( 5, 6, 7, 8 or 9 ) then we raise the number that we want to round but if its less than 5 ( 4, 3, 2, 1 , 0 ) we keep the number as it is.
2 is less than 5 so we keep 5 as it is to get 383.5
The diagram below shows a Sudoku puzzle with a difference. Some of the lines between adjacent cells have a number on them; this is the product of the numbers in the cells.
The normal rules of Sudoku also apply: the numbers 1 to 9 must appear once each in each row, once in each column, and once in each square block.
Can you solve this puzzle?
i need help pleasee. i will give brainlest
Answer:
lp
Step-by-step explanation:
y
7L of an acid solution was mixed with 3L of a 15% acid solution to make a 29% acid solution. Find the percent concentration of the first solution.
Answer:
hypotenuse Pythagoras property
there are 63 counters in total. the total number of counters in box A and box B is 36. the difference between box A and C is 10. work out the number of counters in each box
Answer:
A 17, B 19, C 27
Step-by-step explanation:
A + B = 36
A + B + C = 63
63 - 36 = 27, which is C
C - A = 10
27 - A = 10
A = 17
A + B + C = 63
17 + B + 27 = 63
63 - 44 = 19
What is the value of x?
70°
35°
30
Answer:
75 degrees
Step-by-step explanation:
all added up is 180 on every triangle. 70+35=105. 180-105=75
Can any one explain this question worth points! plz explain if you can
Answer:
x = 31
Step-by-step explanation:
The given angles are supplementary and their sum is 180 degrees
5x - 16 + x + 10 = 180 add like terms
6x - 6 = 180 add 6 to both sides
6x = 186 divide both sides by 6
x = 31
Write the equation of the line that has slope 1 half and passes through (4, -1).
Answer:
-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations
y + 1 = 1/2(x - 4) for point slope equations
Step-by-step explanation:
Slope intercept formula is y = mx + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),
-1 = 2 + b
for this we'd subtract -2 to both sides
-1 -2 = +2 - 2 + b
Which then we'd get,
-3 = b
So our Y intercept is -3
To complete the equation we'd finish it with putting everything together,
-1 = 1/2*4 + -3 or -1 =1/2*4 -3
If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,
y + 1 = 1/2(x - 4)
Hope this helps!