Answer:
6 cm
Step-by-step explanation:
Given that:
A line that contains the points R, S and T.
Distance between R and S = [tex]2x[/tex]
Distance between S and T = [tex]3x[/tex]
To find:
The distance between S and T = ?
Solution:
The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.
As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.
i.e. RS + ST = RT
[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]
ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm
Therefore, the answer is:
Distance between S and T is 6 cm.
If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters
Point S lies between points R and T on Line segment RT
RT = RS + ST
The space between R and S is 2x
That is, RS = 2x
The space between S and T is 3x
That is, ST = 3x
RT is 10 centimeters long
RT = 10cm
Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST
10 = 2x + 3x
10 = 5x
x = 10/5
x = 2
If x = 2, then
ST = 3x
ST = 3(2)
ST = 6 centimeters
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11 (9+ d)
simplify
help me pleas
Answer:
it issss 99+11d :)
Step-by-step explanation:
hope I helped
Answer:
99 + 11d
Step-by-step explanation:
11(9+d)
distribute the 11 into the ( )
99 + 11d
Hope this Helps!!!
What is the domain of this relation?
Answer:
{-3, 3, 5, 9}
Step-by-step explanation:
The domain is simply the inputs (x) used in the function.
Answer:
{-3,3,5,9} this is answer
100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.
Answer:
x = 29Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
Corresponding angles sum to 180
(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29expand and simplify (x-4)(x-1)
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]
(x^2-5x+4) is the right answer.The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?
Answer:82feet tall
Step-by-step explanation:
Look at the image bel9w
Answer:
it's your answer
Step-by-step explanation:
60+5(6÷2)
60+30÷10
60+3
63
18+(10-6)square
18+(100-36)
18+64
82
Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?
Answer:
m=10
w=15
Step-by-step explanation:
m + w = 25
3m + 4w = 90
Let's do substitution, first by solving the first equation for m.
m = 25 - w
Substitute!
3(25 - w) + 4w = 90
75 - 3w + 4w = 90
w = 15
m = 25 - 15 = 10
A bear cub weighed 10 pounds. Each month it gains 5 pounds. Which equation correctly shows this linear relationship.
A.Y=5x +10
B.Y=10x +5
C.Y=5x-10
D.Y=10x-5
Answer:
A. Y = 5x + 10
Step-by-step explanation:
The bear gains 5 pounds a month. The X represents the months in which five pounds gradually build. This is represented by 5x. We need to add the bears original 10 pounds so Y = 5x + 10.
Answer:
a is the answer I did dat before
plzzzzzz i will give u a thank u and 5 stars
Answer:
the answer is 440 square inches.
you just have to multiply all the numbers.
Answer:
B. 440 square inches
Step-by-step explanation:
all you have to do multiply 5x8x11 = 440
Complete the sentences to explain how to multiply 4.56 x 1,000
Answer 4560
Step-by-step explanation:
Take 1,000 over 4.56 and mutiply 6 times all the zeros wich gets
Take 6 times 1 and thats 6
And repeat that until you run out of dights which in this case is just 4.56
Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
Find the unknown value .
45%=54/⬛️
Answer:
12
Step-by-step explanation:
54/12=4.5 then move the decimal once
Convert 4pi/5 to degrees.
Answer:
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .
Answer:
144∘
Step-by-step explanation:
4π5⋅180∘π=144∘
Solve the equation for y. y-x=5
y - x = 5
y = x + 5
Hope this helps! :)
Answer:
Hi! The correct answer is y=5+x!
Step-by-step explanation:
~Add x to both sides of the equation~
find the value of x in each of the given triangles.
Answer:
7.5
Step-by-step explanation:
10x + 8x + 6x = 180°
24x = 180°
x = 180°÷24
× = 7.5
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
I need to find the resultant matrix
the answers are there
i hope it will help you
A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?
(Please help)
Answer: 3 1/2
Step-by-step explanation:
Yes
Answer:3 1/2
Step-by-step explanation:
When factored completely, x3+ 3x2 - 4x-12 equals?
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Dont know the full thing but hope some of this helps!
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3
The equation of the vertical asymptote is x = -3
The function is given as:
[tex]y =\frac{5x +1}{x + 3}[/tex]
Assume the equation of the function is:
[tex]y =\frac{m(x)}{n(x)}[/tex]
So, by comparison;
We have:
[tex]n(x)=x + 3[/tex]
Set n(x) to 0
[tex]x + 3 = 0[/tex]
Subtract 3 from both sides
[tex]x = -3[/tex]
Hence, the equation of the vertical asymptote is x = -3
Read more about asymptotes at:
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Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP
Answer:
1. 5
2. [tex]\sqrt{85}[/tex]
3. [tex]\sqrt{26}[/tex]
Step-by-step explanation:
1. just count the units: 5 units
2. Find the slope = rise/run = -7/6
you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)
use the pythagorean theorem to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]7^{2} + 6^{2} = c^{2}[/tex]
49 + 36 = [tex]c^{2}[/tex]
85 = [tex]c^{2}[/tex]
[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]
[tex]\sqrt{85} = c[/tex]
Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.
3. same process as 2
slope = -1/5
[tex]1^{2} + 5^{2} = c^{2}[/tex]
1 + 25 = [tex]c^{2}[/tex]
26 = [tex]c^{2}[/tex]
[tex]\sqrt{26} = c[/tex]
That is the farthest it can go, so that will be the answer.
Cpm homework 8.1.1 problems 8-5, 8-6, 8-7, 8-9 I can’t find the answers nowhere and it’s so hard I need to show answers.
The solutions are,
8-6a. 110
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon
The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
What is Area ?Area is the space occupied by a two dimensional object,
The area and perimeter of the given shape can be determined by dividing it into basic shapes.
here, we have,
The area and the perimeter of the shape given
= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom
Area of rectangle = 5 mi * 9 mi = 45 sq.mi
Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi
Area of small Triangle = (1/2) * 3*6 = 9 sq.mi
Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi
Area of the figure = 45 +13.5 -9-4.5
Area of the figure = 45 sq.mi
Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom
Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486
Perimeter = 23.5354 mi
Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
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Select the equation that is true.
Answer:
you didnt attach anything
Step-by-step explanation:
95% of 15
i need help
Answer:
14.25
Step-by-step explanation:
im sorry im bad at explaning
Find the value of "c". 4c + 18 = 74 *
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.
Answer:
12x+20
Step-by-step explanation:
Perimeter of a garden = 4s, s being the length of the side
In this case, s = 3x+5
substitute the equation
4(3x+5)
=12x+20
Suppose that a person's peak blood alcohol level is0.04 (grams per 100 mL) and that this level decreases by 20% each hour.
Answer:
Step-by-step explanation:
incomplete question
k - 873 = -695
What is the answer
Answer:
k= -1,568
Step-by-step explanation:
I am pretty sure this is the answer if not I am soo sorry
Answer:
178 is the answer......
What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6
Answer:
6:8:10:12
Step-by-step explanation:
Scale factor of 2-
3:4:5:6
multiply each number by 2
6:8:10:12
How many solutions does this system have?
y = 5 x minus 1. y = negative 3 x + 7.
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer:
One
Step-by-step explanation:
There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.
What is a system of equations?A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.
y = 5x - 1
y = 3x + 7
5x - 1 = 3x + 7
2x = 8
x = 4
y = 19
Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.
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help me please quickly
Answer:
(1) 4
Step-by-step explanation:
Isolate x.
[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3
x - 2 = 2
x = 2 + 2
x = 4