Given:
A segments is from (−6,−1) to (6, -9).
A point divides the line segment into a ratio of 3 to 1.
To find:
The coordinates of the points.
Solution:
Section formula: If a point divides 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]
The point divides the line segment in 3:1, so by using section formula, we get
[tex]Point=\left(\dfrac{3(6)+1(-6)}{3+1},\dfrac{3(-9)+1(-1)}{3+1}\right)[/tex]
[tex]Point=\left(\dfrac{18-6}{4},\dfrac{-27-1}{4}\right)[/tex]
[tex]Point=\left(\dfrac{12}{4},\dfrac{-28}{4}\right)[/tex]
[tex]Point=\left(3,-7\right)[/tex]
Therefore, the coordinates of the required point are (3,-7).
Find BC
Round to the nearest tenth.
7
140°
B
13
Answer:
The answer is
Step-by-step explanation:
This is from khan academy. so You need to watch a video on khan academy to get help.
Which of the following represents the factorization of the polynomial function graphed below?
Answer:
C is the answer of this question
edsedsedsedsedseds HELP PLZ FAST
Answer:
12x + 300 = 450
Step-by-step explanation:
Overtime payment = $12/hWeekly income = $300Overtime hours = x
Equation:
12x + 300 = 450Which of the following is the solution to the following system of inequalities?
Let the green region represent the answer region.
x + 2y <4
3x – y > 2
Answer:
D
Step-by-step explanation:
for example point (2,0) is one of the solutions.
=> x + 2y <4
2+ 2(0) = 2 => 2< 4 (true)
=> 3x – y > 2
3(2)-0= 6 => 6>2 (true)
so, the option D is the correct one
The solution to the following system of inequalities is option D.
How to estimate the system of inequalities?There exist two inequalities drawn on a graph.
x + 2y ≤ 4 .............(1)
3x - y ≤ 2 .............(2)
Here solution set of the inequality (1) will be described by the shaded area below the solid line (in blue) characterized by "x + 2y = 4".
⇒ x + 2y < 4
⇒ x + 2y = 4
⇒ 2+ 2(0) = 2
⇒ 2< 4 (true)
(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)
Second inequality will designate the shaded area on the left of the solid red line characterized by "3x - y ≤ 2".
⇒ 3x – y > 2
⇒ 3(2)-0= 6
⇒ 6>2 (true)
(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)
The solution area to these inequalities will be the common area shaded in green.
Therefore, the correct answer is option D.
To learn more about system of inequalities
https://brainly.com/question/17085147
#SPJ2
The vertex form of the equation of a parabola is y=(x-5)+16. what is the standard form of the equation
Answer:
x − y = − 11
Step-by-step explanation:
what are factors of the expression x^2-x-6?
A. (x+3)(x+2)
B. (x-3)(x-2)
C. (x+3)(x-2)
D. (x-3)(x+2)
Answer:
The answer is D. (x - 3) (x + 2)
Segment AB and AC are tangent to circle C find the value of X in the length of BC
9514 1404 393
Answer:
BC = 6
Step-by-step explanation:
Tangents from the same point are congruent, so ...
2x = x+3
x = 3 . . . . . . . subtract x
BC = x+3 = 3+3 = 6 . . . . . . substitute for x
The length of BC is 6.
Find the radius of the sphere with the given volume. Show all work
Answer:
r = 15
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
4500 pi = 4/3 pi r^3
Divide each side by pi
4500 = 4/3 r^3
Multiply each side by 3/4
3/4 *4500 = 3/4 *4/3 r^3
3375 = r^3
Take the cube root of each side
(3375)^(1/3) = (r^3)^(1/3)
15 = r
Factor completely. x2−6x+8 Enter your answer in the boxes. x2−6x+8= ( )( )
plzzzzzzzzzzzzzz helpppppppppppppppppppppppp
Answer:
(x - 4)(x - 2)
Step-by-step explanation:
x² - 6x + 8
x² - 2x - 4x + 8
x(x - 2) - 4(x - 2)
(x - 4)(x - 2)
Step-by-step explanation:
(x-4)(x-2)=0
x2-2x-4x+8=0
x2-6x+8=0
Samantha's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Answer:
4 times
Step-by-step explanation:
1. 16 cups in a gallon
2. 16 total cups divided by 4 available cups in water bottle equals 4 times
Look at triangle STU:
A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 42 cm, and the length of side TU is labeled as 56 cm.
What is the length (in centimeters) of side SU of the triangle?
70 centimeters
77 centimeters
90 centimeters
98 centimeters
Answer:
70 cm
Step-by-step explanation:
42^2 + 56^2 = c^2
1764 + 3136 = c^2
4900 = c^2
70 = c
An 11% fee was
added to $125
credit card
purchase. What
was the total
purchase?
Answer:
$138.75
Step-by-step explanation:
t = total purchase
t = 125 + 125(11%)
= 125 + 13.75
t = 138.75
The total purchase was $138.75.
Evaluate 32 + (7 − 2) ⋅ 4 − 6 over 3 . (1 point)
Answer:
50
Step-by-step explanation:
Given:
32 + (7 − 2) ⋅ 4 − 6/3
Using the acronym PEMDAS
P = parenthesis
E = Exponential
M = Multiplication
D = Division
A = Addition
S = Subtraction
32 + (7 − 2) ⋅ 4 − 6/3
= 32 + (5) • 4 - 6/3
= 32 + 20 - 6/3
= 32 + 20 - 2
= 52 - 2
= 50
Therefore,
32 + (7 − 2) ⋅ 4 − 6/3 = 50
Triangle XYZ is pictured below.
Select the ratio that represents sin(x)
A) 21/29
B) 29/21
C) 20/29
D) 20/21
E) 29/20
F) 21/20
Answer:
C
Step-by-step explanation:
sine uses opposite over hypotenuse
the opposite of x is 20 and the hypotenuse is 29
so the answer is 20/29
What is the equation of the blue line?
Please can someone give me a good step to step guide on how to get this one.
Thank you!
Answer:
Step-by-step explanation:
First of all notice that slope has a negative value
Also notice that line cuts the y axis in -1
because of the symetry of the line you can deduce that the slope is -1, also you can calculate it using the fact that the points (-1, 0) and (0, -1) belongs to the line, the slope would be:
m=(0-(-1))/(-1-0)=-1
finally the equation is
y=-x-1
in a model of a ship the most in 9 cm high while the most of actual shift is 12 metre height if the length of the ship is 28 how long is model ship
Answer:
21cm
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
12/9 = 1.333333
1 : 1.3333333
length of model sheep = 28 / 1.333333 = 21cm
Find the value of x
.
Answer:
x = 9
Step-by-step explanation:
5x + 27 = 45 + 3x
Subtract 3x from both sides
2x + 27 = 45
Subtract 27 from both sides
2x = 18
Divie both sides by 2
x = 9
A cheetah's speed was timed over a set distance. The cheetah was clocked running 60 miles per hour. Which equation is the relationship between the distance, y, and time, x, the cheetah runs?
Answer:
D. y=70x
Step-by-step explanation:
The cheetah was clocked running 70 miles per hour.
i.e. in 1 hour cheetah covered 70 miles
in 2 hours cheetah covered 140 miles
in 3 hours cheetah covered 210 miles
in general, in n hour cheetah covered 70n miles
If y denote the distance covered
and x denotes the time cheetah runs
Then, y=70x
Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:
D y=70x
Find the volume of this sphere.
Use 3 for TT.
V
V [?]ft3
V = Tr3
16ft
Answer:
well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66
Adam has three pennies, two dimes, and one nickel. he also has one other coin that is different from the rest of his coins. how much could he have?
Answer:
Step 1. Read the problem. Make sure you understand all the words and ideas.
Step 2. Identify what you are looking for.
Step 3. Name what you are looking for.
Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.
Step 5. Solve the equation using good algebra techniques.
Step 6. Check.
Step 7. Answer the question.
Step-by-step explanation:
Acellus
Find the missing side of this right
triangle.
x
7
14
x= [?]
Enter the number that belongs in the green box.
Enter
Answer:
2 is the correct answer because 14 ÷7 is 2
Answer:
the answer in your question is √245
15.6524 ≈ 15.7
Step-by-step explanation:
[tex]x = \sqrt{{14}^{2} + {7}^{2} } \: = 15.6524 = 15.7[/tex]
Solve the system of equations using the substitution method.
-5x − 3y = 16
y = x
(x, y) = (
,
Answer:
x = y = -2
Step-by-step explanation:
Hope this helps
Answer:
[tex]y = - 2 \\ x = - 2[/tex]
Step-by-step explanation:
Question[tex] - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2[/tex]
Now you can write the 1st equation like this.
[tex] - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3[/tex]
Now simply Solve the 3rd equation
[tex] - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2[/tex]
Now replace y as 2 in the 2nd equation like this
[tex]y = x \\ - 2 = - 2[/tex]
Now let's check whether the answer correct or wrong
[tex] - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16[/tex]
Yes, the answer is correct
hope this helps you !!
Need help ASAP pls I have 20 min
Answer:
x > - 8
Step-by-step explanation:
x + 5 > -3
x > - 8
Round 213.9954 to two decimal places
HELPPPPPP MEEEEEEEEEEEEEEEEEE PLEASSEEEEEEEE!!
Consider the angles are = 60,2x,3x
As we know the sum of the interior angle of a triangle is 180
60+2x+3x= 180
5x= 120
x= 24°
Angles are 2x= 2(24)= 48°
and 3x= 72°
The measure of smaller angle is 48°
I made a mistake while solving the inequality below. What mistake did I make? Explain what I should’ve done instead.
Answer:
Mistakes:
Used addition
Didn't flip inequality form
Corrections:
Divide each term
Instead of a positive value it should be negative
flip the direction of the inequality form
Step-by-step explanation:
[tex] - 9x \div - 9 \leqslant 90 \div – 9 [/tex]
cancel the common factor
[tex] \times \leqslant 90 \div - 9[/tex]
Divide 90 by – 9
Answer is:
[tex] \times \leqslant - 10[/tex]
Hope this helps!
a store is having a sale where everyhting is 15% off. If Damien wants to buy an item that originally costs $50 how much will he save? What is his total cost?.
Answer:
35 because i had this problem before and the answer was 35 cuz yeah
Which expression is equivalent to .,,. PLEASE HELPPPPPPP
B. [tex]6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](6 {x}^{3} + 3 {x}^{2} + 8) + (2 {x}^{2} - 9x + 10) \\ = 6 {x}^{3} + 3 {x}^{2} + 2 {x}^{2} - 9x + 8 + 10 \\ = 6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
I DONT UNDERSTAND MATH
Answer:
P = A - 0.2P
Step-by-step explanation:
A = P + Prt
Where,
A = Total amount in an account earning simple interest
P = principal
r = rate
t = time
A = P + Prt
In terms of Payment
P = A - Prt
Holly:
r = 4% = 0.04
t = 5 years
P = A - Prt
= A - (P * 0.04 * 5)
= A - 0.2P
P = A - 0.2P
Help MEE please!!!
What is X/11+2=4
Step-by-step explanation:
X/11+2=4
X+22/11=4 ( LCM of this denominators is 11)..
X+22=4×11
X+22=44
X=44-22
X=22 ANSWER