The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-
Make equation: y = mx + b
x = 2y + 14
2y = x - 14
y = 1/2x - 7
For a line perpendicular, the sign will be opposite and the slope will be reciprocal.
y = -2x + b
-3 = -2(-1) + b, b = -5
The equation of the line will be written as below:-
y = -2x - 5
Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
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1. Graham is hiking at an altitude of 14,040 feet
and is descending 50 feet each minute. Max is
hiking at an altitude of 12,500 feet and is
ascending 20 feet each minute. How many
minutes will it take Graham and Max to meet at
the same altitude ?
a. Equation:
1
2
. Solution:
2. At what altitude will Graham and Max meet?
3
Answer: Equation 1 to find the time: A₁ - r₁t = A₂ + r₂t Solve for t
14040 - 50t = 12500 + 20t t is the number of minutes
Equation 2 to find the altitude: A₁ - r₁t = A₂ + r₂t A₁ and r₁ are Grahams initial altitude and rate. Use given rates, calculated time and solve for A.
A₂ and r₂ are Max's initial altitude and rate.
They will meet in 22 minutes
They will meet at 12940 ft altitude
Step-by-step explanation: Their original heights plus/minus the altitude change per minute (rate) and the time will be equal when they meet.
14040 - 50t = 12500 + 20t subtract 12500 from both sides; add 50t to both sides.
14040-12500 = 20t + 50t
1540 = 70x
22 = t They will meet in 22 minutes.
To get the altitude where they meet, Multiply the time by the rate for each climber. Add or subtract per equation: A₁ - r₁t = A₂ + r₂t
14040 - 22(50) = 12500 + 22(20)
Graham: 22 min × 50ft/min = 1100 ft
Subtract from his starting altitude:
14040 - 1100 = 12940 ft
Max: 22 min ×20 ft/min = 440 ft
Add to his starting altitude
12500 + 440 = 12940 ft
Answer:
Answer:
M=22, hope this helps
Step-by-step explanation:
Set up Graham's altitude function A(m):
A(m) = 14040 - 50m <-- we subtract for descending
Set up Max's altitude function A(m):
A(m) = 12500 + 20m <-- we add for ascending
Set the altitudes equal to each other to solve for m:
14040 - 50m = 12500 + 20m
We type this equation into our search engine to solve for m and we get:
m = 22
Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.
Answer:
24,12
Step-by-step explanation:
suppose,
x+y=36
x=2y
2y+y=36
y=12
x=24
please help its timed
Answer:
no solutions
Step-by-step explanation:
What is the slope for this (-1,5) (2,-4)
Answer:
Slope = -[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
To find the slope, you have to calculate the rise over run between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{2-(-1)}{(-4)-5}[/tex]
= [tex]\frac{3}{-9}[/tex]
= -[tex]\frac{1}{3}[/tex]
solve the right angle trig problem.
Answer:
x = 9.23919
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing length.
Step 2: Identify Variables
POV from the angle measure
Angle = 57°
Opposite = x
Adjacent = 6
Step 3: Solve for x
Substitute: tan57° = x/6Isolate x: 6tan57° = xEvaluate: 9.23919 = xRewrite: x = 9.239199514 1404 393
Answer:
x ≈ 9.24H ≈ 11.02Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships.
Tan = Opposite/Adjacent
tan(57°) = x/6
x = 6·tan(57°) ≈ 9.24
__
The complete solution of the triangle will also find a value for H.
Cos = Adjacent/Hypotenuse
cos(57°) = 6/H
H = 6/cos(57°) ≈ 11.02
_____
Comment on the figure
We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.
Help pls
Solve one step equation
-6x - 13 =23
Answer:
x=-6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
move the 13 to the right side of the equation
-6x = 36 and the divide by -6
x= -6
Write the expression (2−3i)+5i(1−3i)
as a complex number in standard form.
Answer:
17 + 2i
Step-by-step explanation:
Given
(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis
= 2 - 3i + 5i - 15i² [ i² = - 1 ]
= 2 + 2i + 15
= 17 + 2i ← in standard form
The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
What is a complex number?
A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.
Given:
(2−3i) + 5i(1−3i)
Use the distributive property and expand the expression,
(2 − 3i + 5i - 15i²)
2 + 2i - 15(-1) [i² = - 1]
2i + 17
Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
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The area of the parallelogram below is _____ square meters.
Numerical answers expected!
Answer:
48
Step-by-step explanation:
Answer:
Yes, the correct answer is 48, the person above me is right :)
Step-by-step explanation:
6 x 8 = 48
Solve for w. 57 =4w + 13 Simplify your answer as much as possible.
Step-by-step explanation:
57=4w+13
57-13=4w
44=4w
w=11
Jeremiah sees a maple tree and a pine tree in the forest. He knows that the pine tree is
21.65 feet tall. On a sunny day, the shadow of the pine is 4.1 feet long while the maple's shadow is 15.01 feet long. Estimate the height of the maple tree.
Answer:
The height of the tree is
18.67
feet
step explanation: i probably got it wronggggg
I will give lotta points and brainly, find the area and plz make it correct
Answer:
The area of what?? Is there a picture or something to go with this...
Step-by-step explanation:
Also the area of a rectangle, square, or parallelogram is Base x Height
The area of a triangle is (base x height) ÷ 2
The area of a circle is πr²
The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side
The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height
If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.
That's all I can do to help because I don't know what you want me to find the area of :/
A number x with an exponent of -n means
blank. a) Find the nth root of x
b) Find the xth root of n
c) Take the reciprocal of x
d) Take the reciprocal of x to the nth power
Answer:
C) Take the reciprocal of x
Step-by-step explanation:
That's my answer
What is value of 1/3 ÷ 1/12 *
4
1/4
1/36
1/6
Answer:
its the first one 4
Graph the line with the equation y = -5x + 2.
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
If two angles of a traingle measure 54° and 77° what is the measure of the third angle
Answer:
49°
Step-by-step explanation:
The total sum of angles in a triangle is 180°. You already know two of the angles, so you can find the last one.
Third angle = 180° - 54° - 77°
= 49°
What is it? I don't understand it or know it.
Answer:
3+6n=
Step-by-step explanation:
A car traveled 180 miles at a constant rate. Write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled for t hours
Answer:
A. Distance travelled at constant rate = 180 miles
Rate of travel (r) = distance travelled (d) /time (t)
Travel time (hrs) ==> rate of travel (miles/hr)
5 ==> 180/5 = 36
4.5 ==> 180/4.5 = 40
3 ==> 180/3 = 60
2.25 ==> 180/2.25 = 80
B. t = time travelled in hrs,
r = rate (miles/hr)
d = distance travelled = 180
Answer:
180/t
Step-by-step explanation:
Speed=distance/time
Describe the transformation of the graph y = (x)^3 + 6
The graph of y = x^3 + 6 is the result of shifting y = x^3 up 6 units
If f(x) = x^3, then g(x) = f(x) + 6 leads to g(x) = x^3+6.
The reason we shift up 6 is because we're adding 6 to the y coordinate.
Think of y = f(x), so f(x)+6 is the same as y+6.
8% as a fraction in its simplest form
Answer:
8/100 Simplified is 2/25 in it's simplest form!
Step-by-step explanation:
Hope this helps! :)
Have a great day!
The number 8 % as a fraction in the simplest from is 2/25
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is = 8 %
So , the equation will be
The value of A = 8 %
Now , the value 8 percentage can be written as a fraction of 100
So , the value of A will be
The value of A = 8/100
Now , on dividing the numerator and denominator by 4 , we get
The value of A = 2 / 25
So , the value of A in the simplest form of the number A is 2/25
Hence , The number 8 % as a fraction in the simplest from is 2/25
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The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?
Answer:
A≈50298
Step-by-step explanation:
Is y=4x+6 a proportional relationship?
The answer is proportional
45% of _____________is 165
Answer:
366.666666Step-by-step explanation:
Let the number be x
45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666Evaluate (-7)2.
p l e a s e
a n s w e r
q u i c k\
Answer:
(-7)2 = -14
Step-by-step explanation:
The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!
Answer:
-14
Step-by-step explanation:
just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.
last, since 7 was negative in the first place then you turn your product back to a negative and you get -14
mark brainliest :)
what 25 time 358 divided by 1.6
Answer:
5593.75
Step-by-step explanation:
Joshua and Brandon buying a pizza for their math class. They will spend $77. Joshua will pay six times more then Brandon. How much will Joshua pay?
Answer:
$66
Step-by-step explanation:
For this problem, we will simply write two equations to solve how much each person will pay.
Let x represent the amount of dollars joshua pays and y represent the amount of dollars brandon pays. Then we can say the following:
x + y = 77
x = 6y
Using these two equations, we can solve for how much Joshua will pay.
x + y = 77
6y + y = 77
7y = 77
y = 11
x + y = 77
x + 11 = 77
x = 77 - 11
x = 66
Hence, Joshua pays $66 and Brandon pays $11.
Cheers.
This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)
Answer: Happy holidays!
Which pair of angles must be supplementary?
O 1 and 6
O 2 and 5
O 5 and 4
O Z6 and2
Where’s the image? There has to be an image showing the angles to see which pairs of angles are supplementary.
There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles
Answer:
4:5
Step-by-step explanation:
13
Complete the table of equivalent ratios.
9
5
10
20
25
Answer:
Step-by-step explanation:
3 6 9 12 15
5 10 15 20 25