On a number line, point S is located at -3 and point T is located at 9. What is the location of point R on ST given that the ratio of SR to RT is 3:4
A) 27/7
B) 2 1/4
C) 15/7
D) 1 1/4
Answers
Answer:
Im pretty sure it would be C
Step-by-step explanation:
The location of R on the number line will be 15/7 so option (C) will be correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Distance from S to T = 3 + 9 = 12
So,
SR + RT = 12
And given,
SR/RT = 3/4 ⇒ SR = (3/4)RT
By substitution,
(3/4)RT + RT = 12
RT ( 7/4) = 12
RT = 48/7
Now the location of point R ⇒
OT - RT = 9 - 48/7 = 15/7
Hence "The location of R on the number line will be 15/7".
To learn more about the number line,
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Answer the question please
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(This will have the effect of pulling things in closer to the origin.)
Step 1: Identify the coordinates of Point K.
Step 2: Multiply both of those coordinates by 1/2.
Do you have it from there?
please helpppppp!!!!!!!!!
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Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
Solve for inequality:
n/-4 >= 7
Answers
Answer:
n ≤ − 28
Step-by-step explanation:
Multiply to remove the fraction, then set equal to
0 and solve.
An elephant is as strong as how many horses?
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Answer:
4 horses
Step-by-step explanation:
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
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Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
x=-4 +6+ (11 +4(-3))
Answers
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
Plss tell me guy's plssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
According to my equation it's 20°
-3x=-60
X=20
So the angle is 40
If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that
it is a type of active transport.
it is a type of passive transport.
it could be active or passive transport.
Answers
- option A
If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that
it is a type of active transport.
What do pinocytosis and phagocytosis have in common?
They are both forms of endocytosis.
Help me on this math questionnn
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Graph the line with the equation y=1/6x-5
Answers
Hope it helps you and have a great day
If $10,000 is invested at a rate of 3.4 percent for 5 years, how much money is in the account at the end of the term?
$340
$3,400
$10,000
$11,700
Answers
Answer:
D. $11,700
Step-by-step explanation:
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
Answers
If the points P, Q, V and K are collinear, they will follow the segment addition postulate.
Measure of segment VP will be 214 units.
It's given in the question,
P, Q, V and K are collinear.VP = 14x + 4PK = x + 630VQ = 17x + 6KQ = 11x + 5By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = [tex]\frac{615}{41}[/tex]
x = 15
Therefore, measure of VP = (14x + 4)
= 14(15) + 4
= 214 units
Measure of segment VP will be 214 units.
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What do you mean by Factoring Polynomial?
a. a technique that is based on the property
b. to express or expressing a polynomial as a product
c. breaking down a structure into its fundamental prime factors
d. expressing a product of two other natural numbers
Answers
Step-by-step explanation:
Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. For example, f ( x ) = x 2 + 5 x + 6 f(x) = x^2 + 5x + 6
How do you find the GCF of each?
Answers
For the coefficients, take the smaller number (so 30 in the exercise #12) and find all the numbers that divide into 30:
1, 2, 3, 5, 6, 10, 15, 30
Then start with the largest of those and see which is the first to divide into 66.
30 does not divide evenly into 66.
15 does not divide evenly into 66.
10 does not divide evenly into 66.
6 does. You’ll use 6.
For the x’s, consider how many x’s each expression has.
66yx has 1 x
30x^2y has 2 x’s.
The greatest number they all have is 1 x.
For the y’s, do the same thing:
66xy has 1 y.
30x^2y has 1 y.
They both have 1 y in common.
So the greatest things they all have in common are 6xy. That’s your GCF.
Help with this question. Will give brainliest.
Answers
Step-by-step explanation:
x = elsie ticket
[tex] \frac{2}{3} x + 10 = 21[/tex]
Answer:
No I am pretty sure it is the 4th answer my guy.
Step-by-step explanation:
2/3x-10=21
Solve for x.
-5x = -10
x = 2
x = -2
x = 50
Answers
Answer:
Putting x= 2
[tex]( - 5) \times 2 = - 10 \\ - 10 = - 10[/tex]
putting x = -2
[tex]( - 5) \times ( - 2) = - 10 \\ 5 \times 2 = - 10 \\ 10 = - 10 \\ this \: is \: not \: correct \: equation[/tex]
putting x = 50
[tex]( - 5) \times 50 = - 10 \\ - 250 = - 10 \\ this \: is \: also \: not \: correct \: equation[/tex]
so, x = 2 is applicable.
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
Answers
Answer:
The balance would be $160 from whatever it was before the 4 months.
Step-by-step explanation:
Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.
So if the balance before was $40, then the new balance after 4 months would be $200.
If there's no money previously, then there is now $160 after 4 months.
If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.
Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album
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Answer:
Step-by-step explanation:
When completing the sum 5.8×3.87 Dominica forgot to put the decimal point in her answer. She wrote 22446. What should she have written?
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Point B is the midpoint of AC. AB=3x and AC=5x+21 . What is the value of AB?
Answers
First, let's write down what we know.
AB = 3x
AC = 5x+21
Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.
AB + AB = AC
Let's plug in our values.
3x + 3x = 5x + 21
Simplify the left side.
6x = 5x + 21
Subtract 5x from both sides.
x = 21
Now, let's plug in 21 for x in AB
AB = 3x = 3(21) = 63
If 3x = y -5 and x = 4, then y =
Answers
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
WILL MARK BRAINIEST
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30
Answers
Answer:
x + 2 + 3x = 30
Step-by-step explanation:
Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.
Let x = Zach's car length.
Zach's car length is x.
"Ginny's car is 2 more than 3 times the length of Zach's car."
Ginny's car length is 2 + 3x.
Add the lengths:
x + 2 + 3x
"The sum of the lengths of both cars is 30 inches."
x + 2 + 3x = 30
Answer: x + 2 + 3x = 30
Find the area of trapezium whose parallel side are 10 and 12 cm. And height is 7 cm
Answers
Answer:
77 cm²
Step-by-step explanation:
We know that
Area of trapezium = ½ (a + b) × h
Area = ½ × (10 + 12) × 7
Area = ½ × 22 × 7
Area = 11 × 7
Area = 77 cm²
Length of parallel sides = 10 cm and 12 cm
Height = 7 cm
What To Find :Area of trapezium
Formula Using :[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (a \: + \: b) \: \times \:Height }}}}}\end{gathered}[/tex]
Where ,
a and b is Parallel sides Solution :[tex] \begin{cases} \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (10 \: + \: 12) \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: 22\: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{22} \: ^{11} \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:11 \: \times \: 7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:77 \: {cm}^{2} \end{cases}[/tex]
What is 6(x-6)+12=6(x+1)-3x show your work.
Answers
b+6/4 when b=1.5???????????????????????
Answers
Answer:
3
Step-by-step explanation:
If a=b+7 and b+7=9, then a=9
Answers
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
Does anyone know 81,452 divided by 93
Answers
Answer:
875
Step-by-step explanation:
a + (b-4) when a-24 and b-7
Answers
Answer:
a=24
b=7
now
24+(7-4)
24+3
27
so the answer is 27
Write the equation of the line in fully simplified slope-intercept form.
Answers
Find the missing number so that the equation has no solutions.
x–10=
–
2x–15
Answers
Answer:
X=-5/3
Step-by-step explanation:
