Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
Write an equation of the line that passes through (-4, -1) and is perpendicular to the line y= 4/3x+6.
y=
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
(ABCD) = (A'B'C'D'). If A is (6, −8), A' is (−2, 4), and B is (4, −6), what are the coordinates of B'?
Answer: (6, 6)
In this problem the point is moved over 2 up and 2 to the right form A to A'
The coordinates of B' are (-4, 6).
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Since (ABCD) = (A'B'C'D'), we know that corresponding points in the two quadrilaterals have equal coordinates.
Therefore, we can use the coordinates of A and A' to find the translation vector that takes A to A'.
We can then apply this same vector to B to find its image B'.
The translation vector that takes A to A' is given by the difference A' - A:
A' - A = (-2, 4) - (6, -8) = (-8, 12)
So, the same translation vector takes B to B', and we have:
B' = B + (-8, 12) = (4, -6) + (-8, 12) = (-4, 6)
Therefore, the coordinates of B' are (-4, 6).
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6(3x - 2) = 18x + 6
I’m confusion please help
Step-by-step explanation:
6(3x-2)=18x+6
18x-12=18x+2
18x-18x=2-12
0 =-10
0
Answer:
This equation does not exist.
I need to find the slope and b
Y=mx+b
HELP ME
Answer:
[tex]y=-\frac{4}{3}x+20[/tex]
Step-by-step explanation:
stupid enough
y=mx+b
[tex]\frac{y1-y2}{x1-x2}[/tex]
slope = 16-12/3-6
-4/3
[tex]y=-\frac{4}{3}x+b[/tex]
plug in x and y
16=-4/3(3)+b
b=20
Redadd 2f+5g+7h and 3f+6g+8h
Answer:
Step-by-step explanation:
Add the like terms
5f+11g+15h
If a certain medicine cures 85% of the people who take it,what is the probability that, if 6 people take the medicine, exactly 4 will be cured?
Answer:
if 6 people take the medicine, around 5 people will get cured if the cure probability is 85%.
Step-by-step explanation:
Given that a certain medicine cures 85% of the people who take it.
As 6 people take the medicine, we need to determine how many will be cured.
As
85% = 85/100 = 0.85
All we need is to multiply 6 with 0.85.
i.e. 6 × 0.85 = 5 (Rounded to the nearest 1 or the Ones Place)
Thus, if 6 people take the medicine, around 5 people will get cured if the cure probability is 85%.
write two numbers that multiply to the value on top and add to the value on the bottom.
Answer:
1 and 19
Step-by-step explanation:
I believe this is a factoring problem.
Example:
If we have the equation x^2-2x-3
We can find two numbers that multiply to -3 that add to -2
The two numbers are -3 and 1
(x-3)(x+1)= So x=3 and x=1
Answer:
1 and 19
Explanation:
1x19=19
1+19=20
solve for d:
d + (-5.004) = 2.826
PLease
Answer:
7.83
Step-by-step explanation:
d + (-5.004) = 2.826
d = 2.826 - (-5.004)
= 7.83
Therefore d is 7.83 :)
The complex numbers z1 and z2 are graphed. Which point represents z1 – z2?
Answer:
A EDGE 2020
Step-by-step explanation:
I got it wrong twice and it gave me the answer :)
The point represents z₁ - z₂ will be A. Then the correct option is A.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as
⇒ a+bi
The complex numbers z₁ and z₂ are graphed.
The expression of z₁ and z₂ are given below.
z₁ = 4 – i
z₂ = –3 – 2i
Then the difference between z₁ and z₂ will be
z₁ - z₂ = (4 – i) – (–3 – 2i)
z₁ - z₂ = 4 – i + 3 + 2i)
z₁ - z₂ = 7 + i
Then the correct option is A.
More about the complex number link is given below.
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Select the line segment
A.
B.
C.
D.
Answer: D i think
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?
Answer: slope of line n = -3
Reason: Parallel lines have equal slopes, but different y intercepts.
Divide,
7)16.52 -
PLEASE ANSWER QUICK
Answer:
0.42347247428
Step-by-step explanation:
my calcuator
7/16.52
Answer:
9.52
hope it helpsssssssssssssss
Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle
The given triangle is a right triangle because it agrees Pythagoras theorem.
In the given triangle, the shorter lengths are 12 and 16.
The sum of square of shorter lengths:
[tex]= 12^2 + 16^2[/tex]
[tex]=144+256[/tex]
[tex]=400[/tex]
The longer length is 20.
Square of the longest length is [tex]20^2.[/tex]
[tex]20^2 = 20 \times 20[/tex]
=400
The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.
400 = 400
As this is agreeing Pythagoras theorem it is a right angle triangle.
Hence, option B is correct. right triangle.
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let's say jennifer's  Job is to make sure each box weighs four KG and is placed on a pallet 2 m away every nine seconds. How much work did Jennifer perform??
Which ordered pair gives a solution of the system of equations represented in the graph below?
Answer:
b
Step-by-step explanation:
How much are these coins worth??
Answer:
quarters are worth 25 cents
dimes are worth 10 cents
nickels are worth 5 cents
pennies are worth 1 cent
that is a total of $1.48 there
Step-by-step explanation:
where is alrquan07 ? Anyone know?
Answer:
hewo friend
Step-by-step explanation:
Describe the translation T<-3,5>(x,y) in words
Answer:
T is less than negative 3. 5 is greater than (x,y)
Step-by-step explanation:
Please help me........
Answer:
C
Step-by-step explanation:
subtract
Lucy spent $22.80 on Halloween candy. Tax is 5%. How much will she spend total including tax?
Answer:
23.94
Step-by-step explanation:
Before Tax Price: $22.80
Sale Tax: 5.00% or $1.14
After Tax Price: $23.94
How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?
Answer:
You'll pay $3013
Step-by-step explanation:
Amount to pay=$2620+Interest accrued
A=$2620+($2620×0.03×5)
A=$2620+$393
A=$3013
Find the value of x
(8x-1) (4x+7)
Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
Right angle = 90°α = (4x+7)°β = (8x-1)°We know that the sum of angles of a triangle is 180°.so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
[tex]4x+8x+90+7-1=180[/tex]
Add similar elements: :4x+8x=12x
[tex]12x+90+7-1=180[/tex]
[tex]12x+96=180[/tex]
[tex]12x=84[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{84}{12}[/tex]
[tex]x = 7[/tex]
Therefore, the value of x = 7
Two forces of 25 pounds and 20 pounds act on a body with an angle of 25 degrees between them. What is the magnitude of the resultant force?
a) 13.23 pounds
b) 38.78 pounds
c) 43.95 pounds
d) 53.23 pounds
Answer:
C) 43.95 pounds
Step-by-step explanation:
got it right on edge :)
The magnitude of resultant force is 43.95 pounds.
The option c is correct.
Resultant force:Two forces are given that,
[tex]F_{1}=25, F_{2}=20,\theta=25 degree[/tex]
The resultant force is calculated by using formula,
[tex]F=\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}cos \theta } \\\\F=\sqrt{25^{2}+20^{2}+2*25*20*cos25 }\\\\F=\sqrt{625+400+906.307}\\ \\F=\sqrt{1931.307}=43.95[/tex]
Hence, the magnitude of resultant force is 43.95 pounds.
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Giving brainlest to whoever answers this is URGENT
Answer:
ok so it'll be the first one
Answer:
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
slope is the diference in y-coordinates over the diference in x-coordinates
marking brainliest to whoever gives me the write answer
PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!
Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
What is the domain of the square root function graphed below?
Answer:
x ≥ 0
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:
[0, ∞) or x ≥ 0
What is X in feet
X= Ft
Answer:
x = 26ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676
[tex]\sqrt{676}[/tex] = 26
Find the x-value for point C such that AC and BC from a 2:3 ratio.
Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
[tex]C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)[/tex]
[tex]C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)[/tex]
[tex]C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)[/tex]
[tex]C=\left(-0.6,3\right)[/tex]
The x-value of C is -0.6.
Therefore, the correct option is B.
3x−8−12x=42
what is x?
Answer:
x = -50/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 8 - 12x = 42
Step 2: Solve for x
Combine like terms: -9x - 8 = 42Isolate x term: -9x = 50Isolate x: x = -50/9