Answer:
x = - 2 , x = 4
Step-by-step explanation:
Calculate the distance PQ using the distance formula and equate to 5
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P (1, 3) and (x₂, y₂ ) = Q (x, 7 )
PQ = [tex]\sqrt{(x-1)^2+(7-3)^2}[/tex] = [tex]\sqrt{(x-1)^2+4^2}[/tex] = [tex]\sqrt{(x-1)^2+16}[/tex] , then
[tex]\sqrt{(x-1)^2+16}[/tex] = 5 ( square both sides )
(x - 1)² + 16 = 25 ( subtract 16 from both sides )
(x - 1)² = 9 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( add 1 to both sides )
x = 1 ± 3
Then
x = 1 - 3 = - 2 , or
x = 1 + 3 = 4
Please help. ASAP. Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5
Answer:
26/35
Step-by-step explanation:
1. First to divide the 3 1/2 by 2 3/5 you have to turn them both into improper fractions
First take 3 1/2. You have to multiply the whole number (3) by the denominator (2) and you would get 6. Then you would add then you add the product (6) to the numerator (1) and get 7.
You keep the denominator the same so the improper fraction is 7/2
Do the same thing to 2 3/5 and the improper fraction is 13/5
2. Now we can divide 13/5 by 7/2 using "keep, change, flip"
Keep: 13/5
Change: division to multiplcation
Flip: 7/2 to make 2/7
Your new equation is 13/5 × 2/7. Multiplcation is easy so you just have to multiply staight across: 13 × 2 and 5 × 7 giving you 26/35
If you divide 35 by 26 you will get 1.34 and a bunch of other numbers but I usually stop at two decimal places
hope this helps :)
find the value of x.
Answer:
easy duh
Step-by-step explanation:
it's 90 degrees
90 - 36 is
54
profit.
gimme brainliest
Answer:
54 degrees
Step-by-step explanation:
You can just do 90-36 to get your answer for this one, since it is a right angle.
90-36=54
so it would be 54 degrees
What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875
First term: 3
Exiplicit formula:
[tex]3/5*5^n[/tex] or 3x5^n-1
Hope this helps!
The first term is 3 and the explicit rule for the given geometric sequence is 3 × [tex]5^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
As per the given GP series,
3,15,75,375, 1,875
The common ratio r = 15/3 = 5
First term a = 3
The nth term is given as a[tex]r^{n-1}[/tex]
Therefore,
The nth term will be as, 3 × [tex]5^{n-1}[/tex]..
Hence "The first term is 3 and the explicit rule for the given geometric sequence is 3 × [tex]5^{n-1}[/tex]".
For more information about the geometrical progression,
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The equation y = Mx + B corresponds to a line that fits the data in the scatter plot below. What are the signs of M and B?A.M is positive; B is negative.B.M is negative; B is positive.C.Both M and B are positive.D.Both M and B are negative.
Answer: y = mx + c
Step-by-step explanation: Hope this helps :)
part 2 to math homewokr
sorry di ko alam
Step-by-step explanation:
whats the answer for this??
Answer:
b=4
Step-by-step explanation:
b=4 because 10 x 4 is 40.
how to determine if a continuous graph is a function
Answer: A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper.
Step-by-step explanation:
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?
y = – Five-halves x – 1
y = – Five-halvesx + 5
y = Two-fifthsx – 1
y = Two-fifthsx + 5
Answer:
First, let’s rearrange the equation in terms of y:
y = -2.5x + 6
We can input the coefficient of x (the gradient of the line) above into this equation:
y - y1 = m (x - x1)
Where y1, is the y value of an arbitrary point in the line, m is the gradient of the line, and x1 is the corresponding x value of the same arbitrary point in the line for y1.
So, putting it in we get:
y - 4 = -2.5(x +2)
y -4 = -2.5x - 5
y = -2.5x -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
for the people on edge its B
UNIT RATE: TRUE OR FALSE?
Answer:
False
Step-by-step explanation:
A unit rate has to have a denominator (the number below the fraction bar) of 1. It can't have, as in this problem, a denominator of 2. If this were an actual unit rate, it would look more like this: [tex]\frac{25ft}{1sec}[/tex]. Hopefully that's helpful! :)
Tania measured the growth of her plant each week. The first week, the plant's height measured 2.65 Decimeters. During the second week, Tanias plant grew 0.8 Decimeter. How tall was tanias plan at the end of the second week?
Answer:
2.65+0.8=3.45
Step-by-step explanation:
breh
Evaluate if x = -2.
5-4x
Find the slope of each line please help
Answer: The slope should be 2/3
Step-by-step explanation: Slope is rise over run. Remember you always rise before you run. So in this case you start at the origin and go up until you get to the point on the line where the line is centered. You go up 3 times and thats where the first actual point is. Then move to the side until you get to the line which is 2 to the right. so therefore your answer is 3/2
what is the initial value of the graph?
Answer:
The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y- value of the point at which the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope. Which statement best describes a geometric sequence?
Step-by-step explanation:
i hope this helps ik im slow at this
The product of 6 and a number is 38. Find the number
Answer:
n = 6 1/3
Step-by-step explanation:
"Product" means to multiply
Can be written as 6 x n = 38 or 6n = 38
6n = 38
6n/6 = 38/6
n = 6 2/6
n = 6 1/3
If the product of 6 and a number is 38 then the number 'x' is equal to 6.33.
Let's denote the unknown number as 'x'. According to the given information, the product of 6 and 'x' is equal to 38. We can express this mathematically as:
6x = 38
To find the value of 'x', we need to isolate it on one side of the equation. We can achieve this by dividing both sides of the equation by 6:
6x/6 = 38/6
Simplifying the equation, we have:
x = 6.33
Therefore, the number 'x' is equal to 6.33.
It's important to note that in this case, the number 'x' is not an integer but a decimal value. The equation 6x = 38 represents a proportional relationship, where 6 times the value of 'x' equals 38. By dividing both sides by 6, we solve for 'x' and determine that it is approximately 6.33.
To learn more about the equation;
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which choices are correct when determining the distance between 73 and -51 on a number line
Answer:
124
Step-by-step explanation:
73 to 0 is 73
0 to -51 is -51 hence
(+73)-(-51)
124
the distance between 73 and -51 on a number line is 124 units.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the distance between 73 and -51 on a number line
Let the distance between 73 and -51 on a number line be [ΔN]. Then, we can write -
N{1} = 73
N{2} = - 51
ΔN = |N{2} - N{1}|
ΔN = |-51 - 73|
ΔN = |- 124|
ΔN = 124
Therefore, the distance between 73 and -51 on a number line is 124 units.
To solve more questions on functions, expressions and polynomials, visit the link below -
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PLEASE HELP KMG MGGMMFMF.
Answer:
<MQP = 138 degrees
Step-by-step explanation:
5x + 19 = 2x + 49
5x - 2x = 49 - 19
3x = 30
x = 30/3
x = 10
2 (<MQN) = 5(10) + 19 = 69 * 2 = 138 degrees
Is the following number rational or irrational?
0.4
——
0.8
Choose 1 answer:
Rational
or
Irrational
0.4/0.8
= 4/10 × 10/8
= 4/8
= 1/2
= 0.5
0.5 is a RATIONAL number (A).
=》0.5 is a rational number because it's in the form of p/q (5/10) where both p & q are integers & q is not equal to 0.
=》 Also, q can be expressed in the form of 2ⁿ × 5ᵐ (q = 10 = 2¹ × 5¹) which makes it a rational number.
_____
RainbowSalt2222 ☔
Answer:
A.rational
please make me as brainlist i need it please
Calculate (1.11) and (8.2)
Answer:
9.102
Step-by-step explanation:
Assuming this means multiply to each other
1.11 x 8.2 = 9.102
what is the sum if you put altogether the numbers 14.909 and 14.718
What is the sum if you put altogether the numbers 14.909 and 14.718 ?
14.909
14.718
______ +
29.627
The result is 29.627
Answer:
29.637
Step-by-step explanation:
14.919
14.718 +
-----------
29.637
-----------
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
A) No solution
Step-by-step explanation:
Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:
Both equations in the system have the same slope, m = 2, thus forming parallel lines. Since their lines are parallel from each other, then it means that their lines will never intersect.
Therefore, the given systems of linear equation is an inconsistent system that has no solution.
d=8-u
make
U the subject
Answer:
U=-d+8
Step-by-step explanation:
To get u by itself, you subtract 8 from both sides and multiply by -1 to get positive u.
If you walk to school at a rate of 3 miles per hour, how long will it take you to walk 6 miles?
-5n+6> -7(5n-6)-6n what is that simplified
Answer:
n>1
Step-by-step explanation:
Answer:
n>1
Step-by-step explanation:
[tex] - 5n + 6 > - 35n + 42 - 6n \\ 36n - 36 > 0 \\ 36(n - 1) > 0 \\ n > 1[/tex]
Colin invests £980 into his bank account. He receives 2.1% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
980(1+.021*4)= 1062.32
Answer:
£1062.32
Step-by-step explanation:
Principle : £980
Simple Interest Rate : 2.1% / year
Duration : 4 years
Equation: £980(0.021)(4) + £980
Solve:
£980(0.021)(4) + £980 =
£980(0.084) + £980 =
£82.32 + £980 = £1062.32
-Chetan K
-26a-19-35=-84 . show work!!
Step-by-step explanation:
-26a-19-35=-84
-26a-19+(19)-35=-84+(19)
-26a-35=-65
-26a-35+(35)=-65+(35)
-26a=-30
-26a/26=-30/26
Question 11 of 11
Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
8
2
-10-8-8 4 2 1
2
4 6 8 10
O A. The function shown on the graph has a greater rate of change, but
a lower starting point.
O B. The function shown on the graph has a smaller rate of change and
a lower starting point.
O C. The function shown on the graph has a greater rate of change and
a higher starting point
O D. The function shown on the graph has a smaller rate of change, but
a higher starting point
Answer:
D........................
1/5
of a
number is 105
Answer:
525
Step-by-step explanation:
Let the number be " x ".
1 / 5 of x is 105
x / 5 = 105
x = 105 x 5
x = 525
Therefore,
the number is 525.
Answer:
525Step-by-step explanation:
1/5 of a number is 105, and the number is
105 * 5 = 525
--------------------------
check
525 * 1/5 = 105
the answer is good
A camera has a listed price of $750.99 before tax. If the sales tax rate is 8.25% find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
we get $812.95: total cost
Step-by-step explanation:
The sales tax on this $750.99 camera is found as follows: 0.0825($750.99) = $61.96. Adding this amount to the $750.99 price, we get $812.95: total cost.
A faster way to calculate the total cost is to multiply $750.99 by (1.0825): again we get $812.95
I will give BRAINLIEST. Could someone answer the question with a short explanation?
Answer:
7=y 6=x m=2
Step-by-step explanation:
(6,7)
Points are always x, y.
Find the distance between (4,5) and the line y=-3/2x-2
Answer:
15
17
5
Step-by-step explanation:Given equation of lines can be written as
2x−y+4=0, 2x−y−
3
5
=0
Since, these lines are parallel .
So, d=
a
2
+b
2
∣c
1
−c
2
∣
⇒d=
5
3
17
=
15
17
5
Answer:
1517
Step-by-step explanation:
Step-by-step explanation:Given equation of lines can be written as
2x−y+4=0, 2x−y−
3
5
=0
Since, these lines are parallel .
So, d=
a
2
+b
2
∣c
1
−c
2
∣
⇒d=
5
3
17
=
15
17
5
