Answers
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]
2) (3 , -4) ; m= 3
[tex]y - y_{1} = m(x - x_{1}[/tex])
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]
[tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
x
2
−x
1
y
2
−y
1
\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}
=
3−[−6]
−5−2
=
3+6
−5−2
=
9
−7
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
Related Questions
Simplify: [-5]+2 answer please
Answers
Answer:
I think it's -3
hope it's right:)
Step-by-step explanation:
[tex] \sf{ \huge{( - 5) + 2}}[/tex]
While adding or subtracting integers with unlike signs , subtract and keep the sign of the higher integer. In our case , subtract 2 from 5 and keep the sign of higher integer i.e ( - )
⟿ [tex] \sf{ \huge{ \boxed{ { - 3}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.
-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1
Answers
Answer:
Slope of XZ = -5/9
Slope of YZ = 2/7
Slope of XY = -7/2
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
For XZ
X(−5, 5), and Z(4, 0)
Slope of XZ = 0-5/4-(-5)
Slope of XZ = -5/4+5
Slope of XZ = -5/9
For YZ
Y(−3, −2), and Z(4, 0).
Slope of YZ = 0-(-2)/4-(-3)
Slope of YZ = 2/4+3
Slope of YZ = 2/7
For XY
X(−5, 5), Y(−3, −2)
Slope of XY = -2-5/-3-(-5)
Slope of XY = -7/-3+5
Slope of XY = -7/2
For two lines to be perpendicular, the product of their slope must be -1
Taking the product of XY and YZ
mXY * mYZ = -7/2 * 2/7
mXY * mYZ = -1
since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle
Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!
Answers
Answer:
Choice c. [tex]\sqrt{12}[/tex]
Step-by-step explanation:
Vectors
Suppose we have a vector v defined as
[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]
The magnitude of the vector is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]
On the other hand, the dot product of the vector by itself is:
[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]
Note the relation between these two operations is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]
Since we are given:
[tex]\vec v\cdot\vec v=12[/tex], then:
[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]
Choice c) [tex]\sqrt{12}[/tex]
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answers
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answers
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Can someone help me?
Answers
Answer:
70%
Step-by-step explanation:
385/550 giving you a decimal of 0.7 which is 70%
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answers
Answer:
5^8 .. you have to do it like this 5^(2×4)
Hope i helped :)
Tell if it’s linear or not, plz help it has a timer :(
Answers
Answer:
Only B is linear
Step-by-step explanation:
PLS HELP PLS PLS PLS WILL MARK BRAINLIEST
select the table representing a Linear function. (graph them if necessary)
Answers
It’s going down by the same rate of change, 2.
4 brainliest no steal points or i report
Drag and drop the numbers to order them from least to greatest.
-4.79
-4 8/11
4 7/9
4.709
Answers
What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm
Answers
Answer:
C = 62.8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference Formula: C = 2πrStep-by-step explanation:
Step 1: Define
r = 10 cm
Step 2: Find C
Substitute [CF]: C = 2π(10 cm)Multiply: C = 20π cmMultiply: C = 62.8 cmAnswer:
62.8
Step-by-step explanation:
Radius is 10, so the diameter is 20 (10x2)
20 x 3.14(pi)= 62.8
Find the least common multiple of: 6, 3, 2
Answers
least common multiple of 6,3,2 is 6.
- 6 is the smallest number that is divisible by all three.
Answer:
.5
Step-by-step explanation:
Help! Anyone??
The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.
a. Find and interpret the slope.
b. Interpret the slope.
Answers
Step-by-step explanation:
not sure about this one sorry cant help ya but i do have a hint its B
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
Answers
C A B E D
i think this is the answer
A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?
Answers
Answer:
6/7
Step-by-step explanation:
1 x 7/6 x 6/7 = 1
A scale factor of 6/7 would shrink the dilated figure back to its original size.
To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:
Reciprocal of 7/6 = (6/7)
So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.
To know more about scale factor
https://brainly.com/question/29967135
#SPJ2
Probability Questions Help is needed plzzzzzzzzzz
Answers
Answer: 0.0049 hope this is right
Find cos θ for θ = 60°
Answers
Question
Find cos θ for θ = 60°
Question 5
A
B
C
D
PLEASE HELP!!!!!!
Answers
Answer:
a)x=-2.5 or x=1
Step-by-step explanation:
it's the answer
hope It helps
what is different of the four shapes?
Answers
Answer:
It has only 1 pair of parallel sides.
Step-by-step explanation:
Answer:
It has only 1 pair of parallel sides
Step-by-step explanation:
pls help me!! thank you!!
Answers
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
200-3.5 x 2.8 what is the product?
Answers
Answer:
190.2
Explanation:
3.5x2.8=9.8
200-9.8=190.2
Answer:
how do you find the product of 3.5 x 2.8
Step-by-step explanation:
explain how you got it.
is y=4x+2 proportional?
Answers
Answer: yes
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answers
Answer:
6 hours
Step-by-step explanation:
48 + 8.80
56.8 + 8.80
65.6 +8.80
74.4 + 8.80
83.2 +8.80
92 + 8.80
100.8
Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answers
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answers
Answer: None of the choices is correct.
6,714÷103 is about 65.184
Step-by-step explanation:
The closest answer is the second choice. But there must be a typo in the question.
6,714÷100 = 67.14
I hope this helps. You might be able to ask your teacher about the mistake in the question.
Write the decimal 0.00383 in words
Answers
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
Need help only on odds please
Answers
Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answers
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
1.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's class has 15 students with brown eyes and 10 students with blue eyes. Which classroom has a higher ratio of brown eyes?
a.
Ms. Abbott's class
c.
They are the same
b.
Mrs. Downey's class
d.
Mrs. Smith's class
Answers
Answer:
They are both the same
Step-by-step explanation:
(ratio of brown eyes to blue eyes)
Ms. Abbott's class- 18:12
Ms. Downey's class- 15:10
if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.
PLS HELP WILL MARK BRAINLIST
Determine which is the better buy. (picture below)
Answers
Answer:
Cheese B
Step-by-step explanation:
Find the cost of 1 slice for Cheese A:
Set up a proportion: [tex]\frac{3.59}{10} = \frac{x}{1}[/tex] Cross multiply, then divide: 3.59 × 1 = 3.59, 3.59 ÷ 10 = 0.359So, the cost of 1 slice of Cheese A is $0.359Find the cost of 1 slice for Cheese B:
Set up a proportion: [tex]\frac{5.12}{16} = \frac{x}{1}[/tex] Cross multiply then divide: 5.12 × 1 = 5.12, 5.12 ÷ 16 = 0.32So, the cost of 1 slice of Cheese B is $0.32Make a conclusion:
Because $0.32 is less than $0.359, Cheese B is the better buy.
I hope this helps!