Given :
P(x 3), Q(7, -1) and PQ= 5 .
To Find :
The possible value of x.
Solution :
We know, distance between two points in coordinate plane is given by :
[tex]PQ = \sqrt{(x-7)^2 + ( 3-(-1))^2}\\\\PQ^2 = (x-7)^2 + ( 3-(-1))^2\\\\(x-7)^2 + 4^2 = 5^2\\\\( x- 7)^2 = 3^2 \\\\x - 7 = \pm 3\\\\x = 10 \ and \ x = 4[/tex]
Therefore, the possible value of x are 10 and 4.
2
5
2
What value of t is the solution of the equation
above?
Answer:
which has two solutions: x=-10.35 and 1.35.
Step-by-step explanation:
What’s 4.5 rounded to the nearest whole number
Answer:
5
Step-by-step explanation:
we take the 5 behind the four and it rounds up to a 5
4.5=5
What are the x- and y-intercepts of the graph of the equation 5x - 6y = 60?
state and prove mid point theorem
Answer:
The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side."
Step-by-step explanation:
4. The range of a relation is given -3, 2, 0, 13, 17 Which domain makes the relation not a function? A. 0, 1, 2, 3, 4 B. 1,1, 2, 3,1 C. 5, 4, 2, 1,0
Write the equation of the line that passes through the points (1,−6) and (8,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y=15/7x-57/7
Step-by-step explanation:
The ratio of the number of ice cubes used to the number of glasses of iced tea is 7 : 4. Write two equivalent ratios.
Answer:
14 : 8
21 : 12
Step-by-step explanation:
7 : 4
When calculating equivalent ratios, if you multiply the left number by something, you must also multiply the right number by the same number.
7 × 2 = 14
4 × 2 = 8
7 × 3 = 21
4 × 3 = 12
Two equivalent ratios:
14 : 8
21 : 12
sam noticed that some people purchased like items and decided to start offering a bundle. If you buy The following items together , you get 25% off , how much will the bundle cost
Answer:
add up the prices of everything they're buying, divide it by 75 and then multiple the whole answer by 100.
Step-by-step explanation:
The equation Y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?
O -13
0-7
O 2
08
Please help
Rearranging this into slope-intercept form, we see that the y-intercept is -7.
Step-by-step explanation:
y - 3 = -2(x + 5)
y - 3 =-2x + -10
y-intercept x = 0
y - 3 = -10
y = -10 + 3
y = -7
Are the two triangles below similar? N 259 50 5 105 50 3 01)
Answer:
I didn't get the question please explain it
Correct Answer Gets Brainliest
Use a proportion to find the number of meters in 8 feet. Round to the nearest tenth.
8ft= _ meters
Given the situation: Nick takes 7 steps up the stairs of the Tanjay City Science High School and then 5 steps to a landing area. Write an expression the represents the number of steps nick has taken.
Answer:
7 + 5 = 12
Step-by-step explanation:
7 steps plus 5 steps equals 12 steps
The measure of arc DF is
Answer:
mdf= 90 degrees
Step-by-step explanation:
My last one I will be getting more tomorrow have a merry Christmas my next on is only gonna be 32 points have a good day :)
Answer: Thanks!
Step-by-step explanation:
Thanks!
Answer: thank you
Step-by-step explanation: Merry Christmas to you too
What is the quotient of 88 over −9?
Answer/Step-by-step explanation:
-9 7/9 or -9.777777777
88/-9 can be represented as a division problem of 88 ÷ -9.
88 ÷ -9 = about -9.8 or -9 7/9 because any repeating decimal is written as that number over 9.
NEED ASAP DUE SOON!!!!!!
Hello!
[tex]\large\boxed{x^{2} + x - 3 + \frac{4}{2x+3}}[/tex]
**Process pictured below**
When dividing, find how many times the first time in the divisor (2x + 3) fits into the first time of the dividend (2x³ + 5x² - 3x - 5). In this step, it fits x² times.
Multiply x² by the terms in the divisor and subtract from the dividend. Bring down the next term in the dividend to continue the process.
Repeat this step until you reach the last number. In this case, there was a remainder of 4. In order to write the remainder, you must express it over the divisor which makes it 4 / 2x + 3.
What is the slope of the line with points located at (5,3) and (-3,3)?
Answer:
Zero
Step-by-step explanation:
The deer population in a certain state park doubles every year. In the year 2010, there were 30 deer in the park. Which function can be used to determine the population of deer in the state park based on the number of years since 2010? y = 30(2)x y = 302x y = 2x + 30 y = 30x (2)
Answer:
y = 30(2)^x
Step-by-step explanation:
Initial deer population = 30 (in 2010)
Every year, deer population doubles ; this means there is an 100% increase in the population every year ;
Hence, using the exponential growth relation :
Final = initial * (1 + rate)^year
Here,
Final population y ; x years after 2010
Rate = 100% = 1
Hence,
y = 30(1 + 1)^x
y = 30(2)^x
A flower bed is 3 meters wide and 4 meters long. What is the area of the flower bed in square feet? Round intermediate calculations and your answer to the nearest hundredth.
Answer: 12², or 1468944.
Step-by-step explanation;
To calculate the area, you need to multiply the width (3 meters) times the length (4 meters). So, 3 x 4 is 12², or 1468944.
Which statements are correct? Check all that apply. The solution b = 21 is a true solution to the equation sqrt(b + 4) = 5 . The solution g = 6 is an extraneous solution to the equation sqrt(6 - g) = 0 The solution s = 1 is an extraneous solution to the equation sqrt(s) = - 1 . The solution w = 8 an extraneous solution to the equation sqrt(2w) = - 4 The solution x = - 4 is a true solution to the equation sqrt(- x) = - 2
Answer:
1 or A The solution b = 21 is a true solution to the equation .3 or C The solution s = 1 is an extraneous solution to the equation . 4 or D The solution w = 8 is an extraneous solution to the equation .The statement that are correct; A, C and D.
How to find the solution to the given system of equation?For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.
A. The solution b = 21 is a true solution to the equation[tex]\sqrt{ (b + 4)} = 5[/tex].
Here, the solution b = 21 is a true solution to the equation.
C. The solution s = 1 is an extraneous solution to the equation [tex]\sqrt{(s) }= - 1[/tex].
Here, the solution s = 1 is an extraneous solution to the equation .
D. The solution w = 8 an extraneous solution to the equation[tex]\sqrt (2w) = - 4 .[/tex]
So, The solution w = 8 is an extraneous solution to the equation .
Therefore, the statement that are correct; A, C and D.
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-5d=30
I need this quick
Answer:
D = -6
Step-by-step explanation:
divide -5 by each side of the equation
Absolute value is the distance from any number to zero on a number
line. Absolute value is always positive. The symbol is [x].
Example: (21) = 21 Write the definition of absolute value.
Answer:
Absolute value is the distance of a point from zero
Step-by-step explanation:
solve 3(2x-3)-4(2x+1)<=-26
Step-by-step explanation:
3(2x - 3) - 4(2x + 1) <= 26
-2x - 13 <= 26
2x <= -39
x <= -19.5.
Answer:
x ≥ [tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
3 ( 2x - 3 ) - 4 ( 2x + 1 ) ≤ -26
6x - 9 - 8x - 4 ≤ -26
-2x ≤ -13
x ≥ [tex]6\frac{1}{2}[/tex]
Took 830? Quiz. She got 10% of the questions incorrect how many questions did she get in correct there are how many questions did she get incorrect ? Using the percent of a number method.
Answer:
She get 747 questions correct and 83 questions incorrect.
Step-by-step explanation:
Given that she attempted a total of 830 questions in the quiz.
Percentage of the incorrect question = 10%
So, the number of incorrect question = 10% of 830
[tex]=\frac {10}{100}\times 830= 83[/tex]
Now, 10% of the questions are incorrect, so the percentage of correct questions = 100-10= 90%
Therefore, the number of incorrect question = 90% of 830
[tex]=\frac{90}{100}\times 830=747[/tex]
Hence, she get 747 questions correct and 83 questions incorrect.
PLEASE HELPPP PLS
Write this sentence as an equation
The sum of y and the cube of n is 6 less than the square of v.
Answer:
y + n³ = 6 - v²
hope this is the answer.
Answer:
[tex]y+n^{3} = v^{2} - 6[/tex]
Step-by-step explanation:
The sum of y and the cube of n:
y + n^3
is, so in other words it's equal =
=
6 less than the square of v:
v^2 - 6.
Put it all together:
y + n^3 = v^2 - 6.
Ace Carlos
if the product of any two rational numbers is 2 and one of them is 1/7, find the other number.
Answer:
The other number is 14.
Step-by-step explanation:
To find the other number, all you have to do is divide 1/7 by 2.
[tex]\frac{2}{1/7}[/tex]
[tex]= 2 \cdot 7[/tex]
[tex]= 14[/tex]
Hope this helped!
If 4,000,000 is invested at 5% interest compounded continuously, how much will the investment be worth in 25 years
Answer: FV = $13,961,371.83 The phrase "compounded continuously" has nothing to do with when the interest was compounded but refers to how the annual rate was miscalculated by multiplying an interval rate by the number of intervals in a year. Such rates are called "nominal" rates as they are known to be incorrect but close. A compounded continuosly rate is the worse that such a rate could be from the true rate and is when the number of intervals is infinite. Basically 5% per annum compounded continuously is really more like 5.1271% per annum.
Step-by-step explanation:
please help!!!!! i need it fast (picture attached)
Answer:
mine said step 3 but im not sure
Step-by-step explanation:
nvm im sure
9514 1404 393
Answer:
c. Step 3
Step-by-step explanation:
The appropriate solution work would be ...
x = y + 73(y +7) -2y = 83y +21 -2y = 8 . . . . Chuy's error is herey + 21 = 8y = -13x = -13 +7 = -6Chuy made the first error in Step 3.
As X increase or decrease Y increase or decrease. The Function is linear or nonlinear.
Answer:
linear
Step-by-step explanation:
What is the constant rate of Change shown in the table?
I need a little help..
Answer:
rate of change for tickets is 1 and rate of change for cost is 8
The constant rate of change in the given table is 8 dollars per ticket.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other.
From the table,
The constant rate of change =Cost of tickets/Number of tickets
8/1 =8 dollars per ticket
2) 16/2 =8 dollars per ticket
Therefore, the constant rate of change in the given table is 8 dollars per ticket.
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