Answer:
The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]
Step-by-step explanation:
Perpendicular lines are two or more lines that intersect at an angle of 90 degrees. Being y = m * x + b the equation of a line, two lines, with a slope other than zero, are orthogonal or perpenducillary if and only if the product of their slopes is -1. In other words, if two lines are perpendicular, they have their slopes reversed and sign changed.
In this case, with y = -4x-5 the slope will be -4. So the slope of the perpendicular line will be [tex]\frac{1}{4}[/tex]. Then the equation of the perpendicular line will be:
[tex]y=\frac{1}{4}* x+b[/tex]
To find the value of b, you know the value of the point (-2,3). So x = -2 and y = 3. Replacing in the equation of the perpendicular line, you have:
[tex]3=\frac{1}{4}* (-2)+b[/tex]
Solving, you get:
[tex]3=-\frac{1}{2}+b[/tex]
[tex]3+\frac{1}{2}=b[/tex]
[tex]\frac{7}{2}=b[/tex]
The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]
Solve the equation.
x – 21 = 6
x=
Answer:
x = 27
Step-by-step explanation:
[tex]x - 21 = 6[/tex]
Add 21 to both sides.
[tex]x = 6 + 21[/tex]
[tex]x = 27[/tex]
0.750 + 0.375 + 0.625
Answer:
1.75
Step-by-step explanation:
A small aircraft starts its descent from an altitude of h = 1.4 miles, 4 miles west of the runway
a. Find the cubic f(x)=ax3+bx2+cx+d on the interval [−4,0] that describes a smooth glide path for the landing.
b. The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?
Answer:
Step-by-step explanation:
From the question we are told that
Altitude of Height 1.4miles
4miles west
a) From the question
[tex]f(x)=ax3+bx2+cx+d[/tex] on interval (-4,0)
The descent can be expressed in [tex]\triangle _x =-4,0[/tex]
therefore initial points is (-4 , 1.4).
final co-ordinate is given by (0,0) as its landing
Mathematically solving in above cubic equation
[tex]0 = 0 + 0 + 0 + d \\[/tex]
[tex]d = 0[/tex]
[tex]1.4 = -64a + 16b -4c + d[/tex]
[tex]1 = -45.7a + 11.4b-2.9c+d[/tex]
Generally in this case Slope of tangent at point of descent is zero.assuming flight was initially straight before descent
[tex]f'(x) = 3ax^2 + 2bx+c[/tex]
[tex]f'(-4) = 48a -8b + c = 0[/tex]
[tex]f'(0) = c = 0[/tex]
Mathematically solving above equations we have
[tex]a = \frac{1}{40} \ and \ b = \frac{3}{20}[/tex]
Therefore having found a and b the Cubic equation is given as
[tex]f(x) = \frac{1}{40}x^3 + \frac{3}{20}x^2[/tex]
b)descent at its greatest rate
[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]
[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]
Need help pls pls pls pls pls pls pls pls pls pls pls pls
Answer:
35 degrees
Step-by-step explanation:
A right angle is 90 degrees.
Subtract 55 from it and you get 35.
Find the midpoint of AB¯¯¯¯¯¯¯¯if A(3,-8) and B(7,6).
Answer:
A(3,-8)= x1y1
B(7,6)= x2y2
here,
midpoint = (x1+x2/2,y1+y2/2)
= (3+7/2) (-8+6/2)
= (10/2,-2/2)
= (5,-1)
Step-by-step explanation:
by using midpoint formula
thank you for your help appreciate it
Answer:
the correct answer is 150 have a nice day!:)
Step-by-step explanation:
OA
Lesson Quiz
Aaron can paint a door in 6 h, and Ana can do the same job in 3 h. Working together, how many hours will it take them to paint a door?
h
Answer:
4.5
Step-by-step explanation:
that is
their rates =1/6, 1/3 respectively
total =1/2
if 1/2=9
1= 9/2
= 4.5
We want to find the rate at which Aaron and Ana work together, we will find that when working together they can paint 1 door in 2 hours.
Working with rates:
We know that Aaron can paint a door in 6 hours and Ana can paint the same door in 3 hours. The rates are just defined as the number of doors painted over time, so we get:
Aaron's rate = (1 door/ 6h)Ana's rate = (1 door/ 3h)When they work together the rates just add up, so we get:
R = (1 door/ 6h) + (1 door/ 3h) = (1 door/ 6h) + (2 door/ 6h)
= (3 doors/6 hours) = (1 door/ 2 hours)
This means that, working together, they can paint 1 door in 2 hours.
If you want to learn more about rates, you can read:
https://brainly.com/question/14305692
–9p – 17 = 10
A. –3
B. 16
C. 18
D. –16
i will give brainly
Answer:
A. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
-9p - 17 = 10
Step 2: Solve for p
Add 17 on both sides: -9p = 27Divide -9 on both sides: p = -3In a G.P the difference between the 1st and 5th term is 150, and the difference between the
2nd and the 4th terms is 48. Find the sum of the first five terms.
Answer:
Either [tex]\displaystyle \frac{-1522}{\sqrt{41}}[/tex] (approximately [tex]-238[/tex]) or [tex]\displaystyle \frac{1522}{\sqrt{41}}[/tex] (approximately [tex]238[/tex].)
Step-by-step explanation:
Let [tex]a[/tex] denote the first term of this geometric series, and let [tex]r[/tex] denote the common ratio of this geometric series.
The first five terms of this series would be:
[tex]a[/tex], [tex]a\cdot r[/tex],[tex]a \cdot r^2[/tex],[tex]a \cdot r^3[/tex], [tex]a \cdot r^4[/tex].First equation:
[tex]a\, r^4 - a = 150[/tex].
Second equation:
[tex]a\, r^3 - a\, r = 48[/tex].
Rewrite and simplify the first equation.
[tex]\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}[/tex].
Therefore, the first equation becomes:
[tex]a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150[/tex]..
Similarly, rewrite and simplify the second equation:
[tex]\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}[/tex].
Therefore, the second equation becomes:
[tex]a\, r\, \left(r^2 - 1\right) = 48[/tex].
Take the quotient between these two equations:
[tex]\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}[/tex].
Simplify and solve for [tex]r[/tex]:
[tex]\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}[/tex].
[tex]8\, r^2 - 25\, r + 8 = 0[/tex].
Either [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex] or [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex].
Assume that [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75[/tex].
Calculate the sum of the first five terms:
[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}[/tex].
Similarly, assume that [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75[/tex].
Calculate the sum of the first five terms:
[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}[/tex].
Amy started with $125 in her savings account. She deposited $25, withdrew $15, and then deposited $30. How much money is in Amy’s savings account now?
Solve the equation for ‘t’
5t + (-3t - 5) = 13 - 4t+20
Understanding Functional Relationships
Which statements are true of functions? Check all that apply.
O AIl functions have a dependent variable.
Al functions have an independent variable.
0 The range ofa function includes its domain
DA vertical line is an example ofa functional relationship.
O A horizontal line is an example of a functional relationship.
O Each output value of a function can correspond to only one input value.
Answer:
A horizontal line is an example of a functional relationship.
All functions have an independent variable.
All functions have a dependent variable (At least).
Step-by-step explanation:
By description, a relation is a purpose if each input condition has one and only one output value.
A function has at least a secondary variable and an autonomous variable. For instance, given a function:
Y=X
The secondary variable is "y" and the autonomous variable is "x".
The Field of the role is the collection of potential input values and the Range is the collection of potential output values,
Vertical lines have an irregular slope. Since the value of "x" never varies, an upward line is not an illustration of a functional relationship.
In the matter of Horizontal lines, for any x-value, you get the equivalent y-value. These are described as Constant functions.
If f(x) = 3x2, what is the x-coordinate of the point of intersection of the graphs of y = f(x) and y = f(x − 4)?
Step-by-step explanation:
When f(x) = f(x - 4), 3x² = 3(x - 4)².
=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.
The x-value is 2.
9. Gross Margin equals $50,000, operating expenses equals $23,000, income
taxes equals $5,400 and sales is $110,000. What is the company's net income?
Answer:
$21600
Step-by-step explanation:
Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:
Net income = Revenue - cost of goods sold - operating expenses - tax.
But Gross margin = gross profit = Revenue - cost of goods sold. Hence:
Net income = Gross margin - operating expenses - tax.
Substituting gives:
Net income = $50000 - $23000 - $5400
Net income = $21600
What is the answer of a multiplication problem called
What is the answer of a division problem called
Answer:
In multiplication the answer is called PRODUCT and in division the answer is called quotient.
Step-by-step explanation:
I hope that helps and you get a good grade :)
The answer to a multiplication problem is called a Product. The answer to a division problem is called the quotient.
What number is represented by point B?
Answer:
pretty sure it b
Step-by-step explanation:
Rewrite 45 + 60 using the distributive property.
Answer: 15(3+4)
Step-by-step explanation:
First, we want to find the GCF of these numbers
The greatest number they can both be divided by is 15
All of the possible factors are 1, 3, 5, 9, 15, and 15 is the highest
So 15 is the GCF
We then divide these numbers to get the equation
45/15=3
60/15=4
So the new equation would be (3+4)
We then add the GCF outside the parenthesis so you can distribute it in order to get the original numbers
So the distributive equation would be 15(3+4)
Answer 15(3+4)
A plane parallel to the base of a pyramid divides the pyramid into two pieces. Find the ratio of the volume of the top part of the whole pyramid to the volume of the bottom part.
Answer:
Step-by-step explanation:
There are several ambiguities in your question upon which I feel disinclined to speculate. It cries out for an explanatory diagram:
For example (i.e. including but not only!):
1. What is the essential distinction between a plane and a regular pyramid?
2. Does each of the two solids have all of its own edges equal, independently of the other solid? Or are the corresponding edges of the two solids equal? Or are all edges of both solids equal?
WILL GIVE YOU BRILLIENT
Gwen uses a copying machine to increase the size of her drawings. The copying machine is set to triple the length of her drawings.
Let d represent the length of Gwen's original drawing.
Which expression represents the length of a copy of Gwen's drawing?
A.
d − 3
B.
d ÷ 3
C.
d + 3
D.
d · 3
Answer:
D.
Step-by-step explanation:
The dot in the answer means multiply.
WILL GIVE 5 STAR IF CORRECT: Amelia uses her credit card to buy some clothes for $678.34. She can pay off up to $235 per month. The card has an annual rate of 21.7% compounded monthly. How much total interest will she pay? (4 points)
$11.93
$12.27
$24.65
$29.72
Answer:
chetta es polla airemeris di quana premeria
Step-by-step explanation:
Answer:
Month 1:
Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61
Make payment: 690.61 - 235 = 455.61
Old Balance: 690.61
New Balance: 455.61
--------------------------------------------------------------
Month 2:
Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85
Make payment: 463.85 - 235 = 228.85
Old Balance: 463.85
New Balance: 228.85
--------------------------------------------------------------
Month 3:
Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99
Make payment: 232.99 - 232.99 = 0
Old Balance: 232.99
New Balance: 0
--------------------------------------------------------------
Payments Made: 235, 235, 232.99
Number of Payments Made: 3
Total Cost: 235 + 235 + 232.99 = 702.99
Total Cost: $702.99
Total Interest: 702.99 - 678.34 = 24.65
Total Interest: $24.65
Best answer gets brainliest!!!
As it relates to the Fourth Amendment, the legal term that means that there is good reason to believe that a location contains evidence and that a search warrant should be issued is known as __________.
A.
warrant right
B.
probable cause
C.
location relevance
D.
right of sufficiency
Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
noo its b i know for sure i just did it
Answer:
its B
Step-by-step explanation:
Help please click the picture
Answer:
D. 113
Step-by-step explanation:
They are the same angles
Fredrick wrote a system of equations that has the same solution as the system of equations in the box.
I GIVEEEEE BRAINLILSET
Answer:
h
Step-by-step explanation:
because I just know ittttttt
Answer: J $10 per hour
Step-by-step explanation: 3 sets of 8 hours = 24 hours. $10 times 24= $240
3.55 x 89≈ Whats it close to? Plz help me Im clueless.,.
Answer: About 316.
Step-by-step explanation:
Answer:
315.95
Step-by-step explanation:
Hope this helps!
Brain-List?
r-2 <= 9; r =8 is this iniquality a soulition
Answer:
Yes
Step-by-step explanation:
R-2 < 9; when R=8
8-2 < 9
because
6 < 9 (reads as "6 is less than 9")
need the answer thank you
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
Could someone help me please with this math question don’t pass it
Answer:
the answer is option A.
7+9+ 3z – 2z + 4
(Show work please)