Slope Formula: (y2 - y1) / (x2 - x1)
Line 1: 3
Point 1 = (-5, -8)
Point 2 = (-1, 4)
Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3
Line 2: 3
Point 1 = (0, 1)
Point 2 = (2, 7)
Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3
Line 3: -1/3
Point 1 = (6, -7)
Point 2 = (-6, -3)
Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3
Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.
Line 1 and Line 2 are parallel because they have the same slope.
Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.
Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.
Hope this helps!! :)
Answer:
3
3
-1/3
Parallel
Perpendicular
Perpendicular
Step-by-step explanation:
You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.
The formula for slope is y2-y1 divided by x2-x1
y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).
y1 is a point from the first pair like (-5, -8), or (0, 1).
You can plug in the values for example:
4 - (-8) / -1 - (-5)
Two negatives equals a positive in math, so
12 / 4
= 3.
The slope for line 1 is 3.
You extend this to the other two lines.
For lines to be parallel, they must have the same slope.
1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.
Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.
For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)
A reciprocal slope of 19348 is -1/19348.
NEED SOME HELP HERE answer
Answer:
C, move (translate) 5 units left
Step-by-step explanation:
Sliding or moving is called translating, and MATH is to the right of M'A'T'H' (prime), so translate 5 units left.
sas, sss, aas, or not enough information
Answer:
Sas
Step-by-step explanation:
Because it’s side angle side
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given triangles are congruent by :
SAS criterionbecause two of their sides are equal and the angle between the is equal too (by vertical opposite angle pair).
A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What is the radius of the cone?
Volume can be defined as the capacity of a given container or a certain object.
The radius of the cone is 2 inches.
From the question, we are given the following parameters:
The height of the cone = 12 inches
The volume of the cone = 16 π in³
The formula to find the radius of the cone is given as:
√3V/πh
= √ 3 x 16π / π x 12
= 2 inches
Therefore, the radius of the cone is 2 inches.
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HELP GUYS!! CAN U EXPLAIN ON HOW TO DO THIS I REALLY DONT UNDERSTAND TYY
Answer:
If your Simplifying well the answer would be 9/20
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 18 and 40 is 2
Divide both the numerator and denominator by the GCD
18 ÷ 2
40 ÷ 2
Reduced fraction:
9
20
Therefore, 18/40 simplified to lowest terms is 9/20.
The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?
The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
P and q have values of 4 and 21, respectively.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The form (x - p)²= q is what we get when we complete the square.
Adding the number 5 on both sides,
x² - 8x = 5
After dividing by two, square the b term. Then divide both sides by that figure.
-8/2 = -4
(-4)² = 16
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
Solve the factors,
(x - 4)² = 21
p = 4
q = 21
As a result, the values of p and q are 4 and 21, respectively.
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Find 0% of 104 delta math
Answer:
0
Step-by-step explanation:
1. 0% can be written as 0/100, and "of" indicates we need to multiply 0/100 by 104.
[tex]\frac{0}{100}*104[/tex] [tex]0 * 104[/tex] [tex]0[/tex]Therefore, 0% of 104 is 0.
How do i solve this table?
man im sorry because its hard to explain
Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).
R(x, y )= (- y, x )
Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
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What is the slope of a line that is perpendicular
to a line with a slope of -⅓
Answer:
3/1, or 3
Step-by-step explanation:
When you have a perpendicular line, if it is a negative, you take away the negative, and if it is a fraction, you turn it upside down. 1/3 becomes 3/1.
Help please thank you!
68 =34 =23
True or False? (Hint: Type true or false)
Answer:
I believe it's false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
..................
Un laboratorio desea saber la efectividad de un nuevo medicamento para el control de la diabetes. Al realizar un experimento en 10000 individuos encuentra que en el 90 % de ellos el medicamento resulta ser efectivo. Suponiendo que los 10000 individuos son representativos de la muestra, conteste las siguientes preguntas:
a) ¿Cuál es la población?
b) ¿Cuál es la muestra?
c) Identifique el parámetro de interés
d) Identifique la estadística e indique cuál es su valor e) ¿Se conoce el valor del parámetro?
PORFAVOR LA EXPLICACION AL RESPONDER LAS PREGUNTAS
Queremos encontrar diferentes cosas en un experimento dado. Daremos una breve explicación para cada respuesta.
a) La población es el grupo de gente que se estudia, en este caso la medicina es para diabeticos, por lo que la población en este caso sería toda la gente que padece dicha enfermedad.
b) La muestra se refiere a la parte de la población que participa en el experimento, en este caso son 10,000 personas con diabetes.
c) El parametro de interes, es decir, lo que le interesa estudiar a los cientificos, será la efectividad del medicamento que estan desarrollando.
d) Sí, se conoce el valor del parametro, se sabe que en 90% de los casos es efectivo, escribiendo esto de forma decimal, podemos decir que el medicamento es efectivo con una probabilidad de 0.9.
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A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.
Answer:
one
Step-by-step explanation:
A unit rate compares a quantity to one unit of measure.
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
Fill in the blanks with the correct values.
25 minutes
(6*1000)/240
WILL GIVE BRAILIST TO PERSON WHO ANSWERS CORRECTLY!!
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°
Answer:
The Answer is 16
Step-by-step explanation:
The three angles enclosed in a triangle, made by its sides, are called its internal angles. The sum of internal angles of a triangle is
180
o
. Based on its internal angles, a triangle can be classified as acute angled, right angled and obtuse angled.
Your Welcome! :)
The sum of the measure of angle of a triangle = 180° .
Given two angles = 92° and 72°
_________________________
92° + 72° = 164°
180° - 164° = 16° (Ans)
2 colum proofs???? i don’t understand these
Answer:
where is it?
Step-by-step explanation:
At a garage sale, Curtis paid $20 for a box of 40 baseball cards. He plans to re-sell the cards for $4 each. If x is the number of cards that he can re-sell, then the equation y = -20 +4x can be used to determine Curtis's profit (y, in dollars).
Answer:
180
Step-by-step explanation:
Well, I'm not sure but maybe??
How to find the slope
(In general)
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .
Type of Slope: Visual Description
Undefined: vertical
Negative: downhill
Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?
list the coordinates gor both ordered pairs.
Answer:
A is (20, -35)
B is (-15, 45)
Step-by-step explanation:
Hope this helps you out :)
Have a great day
-Kendra <3
There is 20% of fat in a 280g 32 piece chocolate bar. How much fat is in 4 pieces?
If
6/
z + 4
=P, and p
=
12, what is the value of z?
Answer:
P
= 6
/z + 4
Z = 3/4
Exact Form : 3/4
Decimal Form : 0.75
Answer:
.75
Step-by-step explanation:
6/.75 = 8 + 4 = 12
Select the correct answer?
Which expression is equivalent to y2/5, if y ≠ 0?
Answer:
Exponents =
[tex]\textsf y^{\frac{2}{5}} \textsf{equivalent} \sqrt[5]{y^2}[/tex]
Solution :
[tex]\textsf{When} \ a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
[tex]\textsf{And} \ y^{\frac{2}{5}} = \sqrt[5]{y^2}[/tex]
.
i need to know what 26.6 divided by 7 is.
Answer:3.8
Step-by-step explanation:
Please please help me with this question please now and show your steps
Answer:
[tex]y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0[/tex]
Perform the indicated operation. Show all necessary work. a -2-(-9) b -2 -9 c -2- (-9)-(-2
please help i need to finish a test
Answer:
a=7 b=11 c=9
Step-by-step explanation:
-2-(9) -2-(9) = -2+9=7 b -2-9=-11 c -2-(-9)-(-2) = -2+9+2=9
Answer:
Is the other answer correct?
Step-by-step explanation:
please help!!! thank you so much whoever does!!
Answer:
32 lbs
Step-by-step explanation:
Given:
1/4 spicy trail mix
3/8 regular trail mix
20 total mix
Math:
1/4 + 3/8 = 5/8
20/ (5/8) = 32
Answer:
32 pounds
Step-by-step explanation:
Fraction of supply for regular trail mix= ⅜
Fraction of supply for spicy trial mix
= ¼
[tex] = \frac{2}{8} [/tex]
We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.
Simplifying the above information into units form:
Total (supply)= 8 units
Regular trail mix= 3 units
Spicy trail mix= 2 units
Raisins used this week
= (3 +2) units
= 5 units
Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.
5 units ----- 20 pounds
Divide both sides by 5 to find how much raisins 1 unit represents:
1 unit ----- 20 ÷5= 4 pounds
Since his supply was 8 units of raisins,
8 units ----- 4(8)= 32 pounds
∴ He had 32 pounds of raisins at the beginning of the week.
My slope is 15/3. How do I use the y=mx+b formula if the slope is a fraction?
I’m very new to this so I’m struggling quite a bit
you want simplify the slope first
15/3=5
and insert
y=5x+b
if its lets say 1/3
y=1/3x+b
Hope this helped
HELP!! What is the approximate measure of angle x in the triangle shown?
60.3 degrees
80.4 degrees
117.1 degrees
130.5 degrees
=================================================
Work Shown:
[tex]c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\[/tex]
Note: I used the law of cosines. Make sure your calculator is in degree mode.
how to find the distance between the two parallel lines: y=2x-3 and y= 2x+7
Answer:
Distance is 10
Step-by-step explanation:
distance between y1=2x-3 and y2= 2x+7
y2 - y1 = (2x +7) - (2x - 3) = 10
Answer:
10
Step-by-step explanation:
.
.
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