Answer:
The equation of the perpendicular line is;
y = -4x + 15
Step-by-step explanation:
Firstly, we get the slope of the former line
we do this by comparing its equation with;
y = mx + b
This is the standard form with m representing the slope
Thus;
for y = x/4 -2
y = x(1/4) -2
slope = 1/4
Since the other equation is perpendicular to this line, the product of theirs slopes will give -1
Mathematically;
m2 * 1/4 = -1
m2 = -4
So we want to write the equation of the line with slope -4 and passing the point (4,-1)
we have;
y-y1 = m(x-x1)
y + 1 = -4(x-4)
y = -4x + 16-1
y = -4x + 15
Help with this please !!!!!!!!!
The length of a rectangle is two less than three times a number x and the width is five more than that same number. WHAT IS THE EXPRESSION that represents the LENGTH of the rectangle
Answer:
3x - 2
Step-by-step explanation:
From the above question, we are told that:
The length of a rectangle is two less than three times a number x
Expressing this Mathematically:
3× x - 2
= 3x - 2
Also:
the width is five more than that same number.
Width = x + 5
Therefore, THE EXPRESSION that represents the LENGTH of the rectangle is 3x - 2
The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?
Answer:
f(x)=-5sin (1/3x)-2
Step-by-step explanation:
The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
What is Sinusoidal function?A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function
Given,
Midline is at (0,-2)
minimum point at [tex](\frac{3\pi }{2},-7)[/tex]
Therefore, the function is line with amplitude = -2-(-7)=5
No phase shift as intersection at 0.
Vertical shift is -2
Then,
f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Learn more about Sinusoidal function here
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PLEASE HELP THE WORK IS ABOVE
Answer:
Step-by-step explanation:
the line of best fir for a set of data is y=13x-4.7 a point in the set of data is when x is 4 and y is 53 what is the residual for this point when x is 4
Answer:
4.7
Step-by-step explanation:
Best fit line :
y = 13x - 4.7
At x = 4 ; actual value of y = 53
Predicted value of y at x = 4 ;
y = 13(4) - 4.7
y = 52 - 4.7
y = 47.3
Ypredicted = 47.3
Residual value :
Yactual - Ypredicted
52 - 47.3
= 4.7
[tex](3 \sqrt{4)3} [/tex]
Question 3
For the triangle shown, calculate the perimeter
2.5 km
51.8°
62.1
Answer: The perimeter is 9.31km
Step-by-step explanation:
We have two triangle rectangles, and the perimeter of the complete triangle will be equal to the sum between the hypotenuses (of both triangles) and the bottom cathetus (of both triangles)
For a triangle rectangle and a given angle A (that is not the right angle)
Remember the relationships:
Sin(A) = (opposite cathetus)/(hypotenuse)
Cos(A) = (adjacent cathetus)/(hypotenuse)
Tan(A) = (opposite cathetus)/(adjacent cathetus)
With this, we can find the measures of each triangle in the imae.
The left triangle rectangle.
We have a cathetus (opposite) with length of 2.5km and A = 51.8°
Then the hypotenuse can be found by:
Sin(51.8°) = (2.5km)/(hypotenuse)
then:
hypotenuse = (2.5km)/sin(51.8°) = 3.18 km
And the bottom cathetus can be found with:
Tan(51.8°) = (2.5km)/(adjacent cathetus)
adjacent cathetus = (2.5km)/(Tan(51.8°)) = 1.98 km
For the other triangle, we have A = 62.1°, and the opposite cathetus is 2.5 km
We can use the same relationships than before:
Sin(62.1°) = (2.5km)/(hypotenuse)
then:
hypotenuse = (2.5km)/sin(62.1°) = 2.83 km
And the bottom cathetus can be found with:
Tan(62.1°) = (2.5km)/(adjacent cathetus)
adjacent cathetus = (2.5km)/(Tan(62.1°)) = 1.32 km
Then the perimeter of the complete triangle is:
Perimeter = 3.18 km + 1.98 km + 2.83km + 1.32 km = 9.31 km
Aidan ran 712 of a mile, then took a break before running another 12 of a mile. How far did Aidan run in all?
Answer:
Is that supposed to be
7 1/2? If so, answer is 8
Step-by-step explanation:
7 1/2 + 1/2=8
Joe has $173 in the bank. He earns the same amount of money each week for 7 weeks and puts this money in the bank. Now joe has $208 in the bank. How much money does joe earn each week
Given:
Joe has $173 in the bank.
He puts 7 weeks earning in the banks.
Now joe has $208 in the bank.
To find:
How much money does joe earn each week?
Solution:
Let x be the same amount of money each week for 7 weeks and puts this money in the bank.
Total earning in 7 weeks = 7x
Total amount of money in bank = Initial amount + 7 Weeks earning
[tex]208=173+7x[/tex]
[tex]208-173=7x[/tex]
[tex]35=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{35}{7}=x[/tex]
[tex]5=x[/tex]
Therefore, joe earns $4 each week.
help me i have 20 minutes left to finish this :(((((((
Step-by-step explanation:
2x + 3X + 65 = 180
5x = 115
x = 23
2x = 2(23) = 46
3x = 3(23)= 69
Answer:
x = 23
Step-by-step explanation:
a + b + c = 180
a = 65
b = 2x
c = 3x
65 + 2x + 3x = 180
65 + 5x = 180
-65 -65
5x = 115
x = 23
There are 5 candy canes for every 9 presents. How many candy canes are there when there are 108 presents
Answer:
When there are 108 presents, there are 60 candy canes
Step-by-step explanation:
candy canes : presents = 5:9
5/9 = x/108
cross multiply:
(5) (108) = 9x
540 = 9x, divide both sides by 9
x = 60
using your equation of f(x)= 5x + 8, evaluate f(5)
Answer:
33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
#carryonlearning :)A good will do one of both of which two things select two answers
Write the Following numbers in Standard form
0.75 x 108
[tex] \tt \dashrightarrow 0.75 \times 108[/tex]
[tex] \tt \dashrightarrow \dfrac{75}{100} \times 108[/tex]
[tex] \tt \dashrightarrow \cancel{\dfrac{75}{100}} \times 108[/tex]
[tex] \tt \dashrightarrow \dfrac{3}{4} \times 108[/tex]
[tex] \tt \dashrightarrow \dfrac{3}{\cancel{4}} \times \cancel{108}[/tex]
[tex] \tt \dashrightarrow 3 \times 27[/tex]
[tex] \tt \dashrightarrow 81[/tex]
Hence, answer is 81.
Which expression is equivalent to x 2 - 17x - 60?
Answer:
(x-20)(x+3)
Step-by-step explanation:
Answer:
( x − 20)( x + 3)
Step-by-step explanation:
i did the test
WRITE AN EQUATION which describes the line that contains (9,4) and has an undefined slope.
Answer:
x = 9
Step-by-step explanation:
A line with an undefined slope will be a vertical line.
This means the equation of the line will be in x = form, because the line will only go through one x value.
Since the given point has the x value of 9, this means the line will only go through that value.
So, the equation of the line will be x = 9
help>>>>>>!!!!!!!!!!!
Four individuals put their money together to start a new venture. They agree to split the profits equally. N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. If the profits for the first month were $2,000, Z receives __?__ less than if the profits were divided in proportion to how much they invested.
Answer: $800
Step-by-step explanation:
N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. This in the ratio of 1:2:3:4.
If the profits for the first month were $2,000, the amount received by Z will be:
= 4/(1+2+3+4) × $2000
= 4/10 × $2000
= 4 × $200
= $800
only answer if you know you are correct
Answer:
green
Step-by-step explanation:
It costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression 1.5x + 15, where x is the number of songs downloaded. How much will it cost Johnny to download 10 songs?
please hurry I need to pass math
Answer:
$30
Step-by-step explanation:
To find the cost, plug in 10 for x, then simplify
1.5x + 15
1.5(10) + 15
= 30
So, it will cost Johnny $30 to download 10 songs
The total amount of money that Johnny will have to pay is f(10) = 30.
What are expressions?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →
1.5(x) + 15.
The expression is given by -
f(x) = 1.5(x) + 15
where [x] is the number of songs downloaded.
For [x] = 10 songs, the total amount of money that Johnny will have to pay is -
f(10) = 1.5 x 10 + 15
f(10) = 15 + 15
f(10) = 30
Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.
To solve more questions on expressions, visit the link below -
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Please help me out please
Answer:
x = -0.8
<CAD = -8
Step-by-step explanation:
10x + 4 = 5x - 4 (Clean up)
10x = -8 (Divide each side by 10)
x = -0.8
<CAD = 5x - 4
<CAD = 5(-0.8) - 4
<CAD = -4 - 4
<CAD = -8
Which equation represents the values in the table?
Answer:
Step-by-step explanation:
The first equation A.y=4x+3
Coz if u do 4(-1)+3 that =-1 and 4(0)+3=3 so therefore a is the answer
In the diagram, line f is parallel to line g, and line e intersects line f and g.
What is the value of x?
Need help asap!
Answer:
Step-by-step explanation:
78
Rewrite the equation so that it does not have fractions 2- 5/6x = 7/8
the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:
24(5/6)x + 24(2) = 24(7/8)
the denominators will cancel out so you have:
4(5x) + 48 = 3(7)
do the multiplication:
20x + 48 = 21
fractions have been eliminated, and if you want to continue to solve:
20x = -27
x = -27/20
In an algebraic expression, terms are separated by ___________________?
A:Group of answer choices
parentheses
B: multiplication and division signs
C: addition and subtraction signs
D: fraction bars
-3x+5=20
show work please!
Answer:
x=−5
Step-by-step explanation:
−3x+5=20
Step 1: Subtract 5 from both sides.
−3x+5−5=20−5
−3x=15
Step 2: Divide both sides by -3.
−3x/-3 = 15/-3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}[/tex]
[tex]\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}[/tex]
[tex]\bold{x = \dfrac{15}{-3}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Complete the table to find all the factor pairs of 50.
Answer:
First Factor Second Factor
1 x 50
2 x 25
5 x 10
Leah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries?
Answer:
i dunno man like 20x2853-3835734= close to 1 ish maybe
Step-by-step explanation:
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gIB BRAIN SMARTER
help please this is due tonight
Answer:
x = 5
Step-by-step explanation:
Since the triangles have to be congruent (through SSS), we know that:
2x + 3 = 4x - 7
We simplify this to: 2x = 10
And then: x = 5
0.4 / 17= what i need help this is ilx
Answer:
.0235294117647
Step-by-step explanation:
Answer:
0.02352941176
Step-by-step explanation: