Trump/ Pence 2020!!!
find equation of straight line which
divides the line joining the points P(-1, -4) and Q (7, 1) in the ratio of 3:2 and perpendicular to it.
Answer:
The required equation is: [tex]y = -\frac{8}{5}x+\frac{127}{25}[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by:
[tex]y = mx+b[/tex]
For writing equation of a line, slope and a point is needed from which the line passes.
In order to find the slope of line perpendicular to PQ, we have to find slope of PQ first.
Slope is denoted by m and given by the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given points are:
P(-1, -4) and Q (7, 1)
Putting the values
[tex]m = \frac{1-(-4)}{7-(-1)}\\m = \frac{1+4}{7+1} = \frac{5}{8}[/tex]
The product of slope of two pependicular lines is -1
Let m1 be the slope of line perpendicular to PQ
[tex]m.m_1 = -1\\\frac{5}{8}.m_1 = -1\\m_1 = \frac{8}{5} * -1\\m_1 = -\frac{8}{5}[/tex]
Now for the point, we have to find the point that divides PQ in ratio 3:2
The formula is:
[tex](x,y) = (\frac{nx_1+mx_2}{m+n} , \frac{ny_1+my_2}{m+n})\\[/tex]
Here
m = 3
n= 2
Putting the values
[tex](x,y) = (\frac{(2)(-1)+(3)(7)}{3+2} , \frac{(2)(-4)+(3)(1)}{3+2})\\= (\frac{-2+21}{5} , \frac{-8+3}{5})\\=(\frac{19}{5} , \frac{-5}{5})\\=(\frac{19}{5} , -1)[/tex]
So we have to write equation of a line with slope -8/5 and passing through point (19/5, -1)
Putting the values in slope-intercept form
[tex]y = -\frac{8}{5}x +b[/tex]
Putting the point in the equation
[tex]-1 = -\frac{8}{5} (\frac{19}{5}) + b\\-1 = -\frac{152}{25} + b\\b = -1+\frac{152}{25}\\b = \frac{-25+152}{25}\\b = \frac{127}{25}[/tex]
Putting the value of b
[tex]y = -\frac{8}{5}x+\frac{127}{25}[/tex]
Hence,
The required equation is: [tex]y = -\frac{8}{5}x+\frac{127}{25}[/tex]
This i will give brainless answer to
Answer:
m=-2n/9
Step-by-step explanation:
a) Work out an estimate for
20.6 x 11.4
6.9 x 3.6
b) Use your answer to part (a) to find an estimate for
206x 114
69 x 36
Is table values represents a function of f(x) =3x -4 what statement explains why she is correct or incorrect?
please help , giving brainliest, i rlly need the answer !!!
Answer:
0.5 goes on 2 points to the left0, 0.75 goes 3 points to the left of 0, 1.25 goes 1 point to the left from the 1, - 9/4 goes at the very end on the left side, and - 7/4 goes 1 right from the 2.
Step-by-step explanation:
solve by using the LCD. 4/x-5 + 1/x = x-1/x-5
(please help!!)
Answer: x ≠ 5; x≠ 0
[tex]\frac{4}{x-5}+\frac{1}{x}=\frac{x-1}{x-5}\\\\<=> \frac{4x+x-5}{x(x-5)}=\frac{x(x-1)}{x(x-5)} \\<=> 4x+x-5=x(x-1)\\<=> 5x-5 = x^{2}-x\\<=> x^{2} -6x+5=0\\<=>(x-5)(x-1)=0\\[/tex]
because x≠ 5 => x - 5 ≠ 0
=> x - 1 = 0
⇔ x = 1
Step-by-step explanation:
See attachment for math work and answer.
Reject x = 5.
Answer is x = 1.
Simplify:
3p+2p-p
Please help ASAP !!
Answer: 4 P
Step-by-step explanation: hope this helps!
The solution of the given expression 3p+2p-p will be 4P.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given expression is 3p+2p-p. The expression will be simplified as:-
E = 3p+2p-p
Add the values 3p and 2p first.
E = 5p - p
Subtract p form 5p.
E = 4p
Therefore, the solution of the given expression 3p+2p-p will be 4P.
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Mustafa opens a savings account with $350. He saves $150 per month. Assume that
he does not withdraw money or make any additional deposits. After how many
months will Mustafa have $2000?
Answer:
11
Step-by-step explanation:
you do 2000 - 350
you would get 1650
and you divide it by 150
it would look like this 1650 ÷ 150 = 11
What is the number 39.90
rounded off to one decimal
Place.
Answer:
39.9
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
39.90, the 9 is higher than five so you would add one to the 9 making it 40
I WILL GIVE BARINLEST WHO HELP ME
A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards
before lifting off the ground to travel another 705 yards after which point the plane will
be directly over the tower. If the plane had continued on the runway, it is another 700
yards to the control tower, which is 250 feet high
Which statement best describes how to determine if the plane clears the tower?
Use the Pythagorean Theorem where the distance to the tower is a les of the right triangle and
the height of the tower is the other leg. Verity that these equal the exact distance in the air. It
not exactly the same, the plane does not clear the tower
Use the Pythagorean Theorem where the distance to the tower is a leg of the right triangle and
the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the
tower height
Use the Pythagorean Theorem where the distance to the tower plus the distance the plane
travels on the ground is a leg of the right triangle and the distance in the air is the hypotenuse
Find the other leg. Convert to feet to compare to the tower height
Answer:
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Step-by-step explanation:
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
h = √(R² - x²)
We have;
R = 705 yards
x = 700 yards
∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281
The height of the control tower, h = 5·√281 yards
1 yard = 3 feet
∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
The height of the control tower = 250 feet and the plane the height of approximately 251.446 feet clears the tower.
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards.
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows.
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle.
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle.
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
[tex]h = \sqrt{(R^2 - x^2)}[/tex]
We have given that
R = 705 yards
x = 700 yards
[tex]h = \sqrt{(R^2 - x^2)} \\ h = \sqrt{(705^2 - 700^2)}\\ h= 5\times \sqrt {281}[/tex]
The height of the control tower,[tex]h = 5 \sqrt {281}[/tex] yards.
What is the value of one yard in feet?1 yard = 3 feet
[tex]5\sqrt {281} yards= 3 \times 5\times \sqrt{281} feet \approx 251.446 feet[/tex]
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
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The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need? StartFraction 3 Over 10 EndFraction of a pound StartFraction 8 Over 15 EndFraction of a pound 1 and StartFraction 7 Over 8 EndFraction pounds 3 and one-third pounds
Answer:
The answer is the option C
Step-by-step explanation:
Hope it help
Answer:
c
Step-by-step explanation:
i took the quiz
Find the nth term of the following sequence:
5, 8, 13, 20, 29, ...
Answer:
85
Step-by-step explanation:
The number you Add with goes up by 2 with each equation. Since five is the first number,
5+3=8 (Pattern #2)
8+5=13 (Pattern #3)
13+7=20 (pattern #4)
20+9=29 (pattern #5)
29+11=40 (pattern #6)
40+13= 53 (pattern #7)
53+15=68 (pattern #8)
68+17=85 (pattern #9)
Can someone fill in the blanks please ?? 30 points
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerYou and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (3w+8) subscriptions and your friend has sold (6w+6) subscriptions.
Answer:
3w-2
Step-by-step explanation:
Given that, after w weeks you sold (3w+8) subscriptions and your friend sold (6w+6) subscriptions.
So, the difference between the number of subscriptions your friend has sold and you have sold after w weeks = (6w+6)-(3w+8)
=6w+6-3w-8
=3w-2
Hence, the required expression is 3w-2.
What is the value of x?
160°
x =
519
Answer:
x = 58
Step-by-step explanation:
Angle Formed by Two Secants = 1/2(difference of Intercepted Arcs)
51 =1/2 (160-x)
Multiply each side by 2
102 = 160-x
Subtract 160 from each side
102-160 = -x
-58 = -x
Multiply by -1
58 =x
Answer:
x = 58
Step-by-step explanation:
[tex]51 \degree = \frac{1}{2} (160 \degree - x \degree) \\ \\ 51 \times 2 \degree = 160 \degree - x \degree \\ \\ 102 \degree = 160 \degree - x \degree \\ \\ x \degree = 160 \degree - 102 \degree \\ \\ x \degree = 58 \degree \\ \\ \huge \red{ \boxed{x = 58}}[/tex]
Plz help, im struggling >:|
Write using algebra.
Jimmy ran m miles in t minutes. What was his speed?
Answer:
150
Step-by-step explanation:
r150 naka cdi lang HAHAHAHAHAHA
Answer:
Lets say S is speed
S= m/ t
m/t would give us his speed in miles per minute.
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answer:
B
Step-by-step explanation:
i got it right
Write an equation in point slope form of the line passes through the point (0,2) and has a slope of m=4
Answer:
y = 4x + 2
Step-by-step explanation:
This is the formula: [tex]y - y_{1} = m(x - x_{1})[/tex]
y - 2 = 4(x - 0) (distribute the 4)
y - 2 = 4x (add 2 on both sides)
y = 4x + 2
That's all she wrote!
Hope this helps ya!!
Ethan entered a canoe race. he rowed 4 1/2 miles in 1/2 hour. what is his average speed in miles per hour
Answer:
9mph
Step-by-step explanation
4 1/2 *2 - 9
At the beginning of the day, its was -14 degrees. Throughout the day, the temperature increased 16 degrees. What was the temperature (in degrees) at the end of the day.
Answer:
30
Step-by-step explanation:
Its just 14+16 im pretty sure
Choose all of the equations that have the solution x = - 1/4
x + 1 / 2 = - 1 / 4
x - 1 / 2 = - 3 / 4
x - 1 / 2 = 1 / 4
1 / 2 + x = 1 / 4
x - 1 / 4= - 1 / 2
Answer:
x - 1 / 2 = 1 / 4
x - 1 / 2 = - 3 / 4
Step-by-step explanation:
Answer:
x - 1 / 2 = 1 / 4
x - 1 / 2 = - 3 / 4
HELP ASAP PLEASE !!!><
WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-4, -16) and (-4, -5)
Answer:
m = undef
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -16)
Point (-4, -5)
Step 2: Find slope m
Substitute: [tex]m=\frac{-5-(-16)}{-4-(-4)}[/tex]Simplify: [tex]m=\frac{-5+6}{-4+4}[/tex]Add: [tex]m=\frac{1}{0}[/tex]Simplify: m = undefheight is 6.2cm length is 10.8cm what’s the area.
Answer:
its 66.96
Step-by-step explanation:
to find the area we do the length x height of the shape
Answer: 57.97 cm squared
Step-by-step explanation:
formula for the area of a trapezoid is [tex]h\frac{a+b}{2}[/tex] substitute 6.2 for h, 7.9 for a, 10.8 for b[tex]6.2\frac{7.9+10.8}{2}[/tex] Solve it to get 57.97 cm squaredWhat is the solution to the equation 5x−2=2x+13
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5x-2=2x+13
-2x -2x
3x-2=13
+2 +2
3x=15
divide 15 by 3.
.Which is the graph of the equation ?
You have a total of 72 employees at your movie theatre. you split them into 8 groups and four groups work each night.
Number of employees in each group :
Number of employees working each night:
Answer: Each group has 9 employees and at night 36 people.
Step-by-step explanation: You would do 72/8=9 so each group has 9 employees and in the night 9x4 will be there so 9x4=36 so 36 people.
A) A grocery store sells bags of oranges in two different sizes. The six pound bag is $7. The eight pound bag is $9. Which cost less?
B) A grocery store sells bags of oranges in two different sizes. The six pound bag is $7. What is the cost per pound?
Thank you so much for whoever awnsers this.☺️
can someone help? please
i need to know 2/3 divided by 5 =
Answer:
2/15
Step-by-step explanation:
Answer:
2/15 hope this helps :)
Step-by-step explanation:
