Answer:
x = 10
Step-by-step explanation:
In a triangle, PR is 12 more than twice PQ and If all three sides of the triangle have integer lengths, what is the largest possible value of x?
From the attached diagram, x = PQ
We have sides:
PQ, PR and QR
PR is 12 more than twice PQ
PR = 12 + 2PQ
PR = 12 + 2x
QR is two more than 4 times PQ.
QR = 2 + 4(PQ)
QR = 2 + 4x
Hence: we solve using Triangle Inequality
The triangle inequality states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.
Based on this property, if you know the lengths of two sides of a triangle and are trying to find the range of lengths of the third side, you can add the two known side lengths together and subtract the smaller one from the bigger one. The third side must be greater than the sum of the other two sides and less than their difference.
PQ > PR + QR
PQ < PR - QR
Therefore:
x + 12 + 2x > 2 + 4x
3x + 12 > 2 + 4x
12 - 2 > 4x - 3x
10 = x
Find the indicated real nth root(s) of a.
n=4, a = 81
What are the 2 roots
Answer:
First one is 3 and I got no idea what the second one is.
Answer: 3, -3 (Don't mind this part, I am just taking up letter characters)
evaluate the question below
.
12-2
Answer:
=>12-2
=> 10
You're Welcome
Hope this helps you.
Pls, mark it as the brainliest. I need it.-6=b8 one and two step problems
Answer:
b = -3/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-6 = b8
Step 2: Solve for b
Rewrite: -6 = 8bDivide 8 on both sides: -6/8 = bRewrite: b = -6/8[Fraction] Simplify: b = -3/4Step 3: Check
Plug in b into the original equation to verify it's a solution.
Substitute in b: -6 = (-3/4)8Multiply: -6 = -24/4Divide: -6 = -6Here we see that -6 does indeed equal -6.
∴ b = -3/4 is the solution to the equation.
Red Street has a slope of ¼ and goes through the point (0, 5)
Write out this equation as y = mx + b
Answer:
y = 1/4x + 5
Step-by-step explanation:
Answer:
y = 1/4x + 5
Step-by-step explanation:
We need to write the equation in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept. We are given a slope of 1.4 and y-intercept of 5, so fill it into the formula.
y = 1/4x + 5
Best of Luck!
In the triangle ABC , Angle A = 46° and Angle B = 83°. How large is the exterior angle at C?
This is a problem with no diagram
Answer:
180 - 46 - 83 = 51 is the measure of angle C
the exterior angle at angle C, and angle C, are supplementary. since angle C is 51 because of the interior angle triangle sum theorem, then the exterior angle is: 180 -51 = 129 degrees.
Step-by-step explanation:
I hope this helps :)
The length of a rectangle is 3x-4 and the width is x. The perimeter is 72 feet. What is the measure of the length?
Answer:
26 is your answer. I hope this helps!
Step-by-step explanation:
A bag contains cards numbered from 1 to 14 one card is drawn at random find the probability of
a.) Selecting a prime number of a multiple of four
b.) selecting a multiple of two or a multiple of three
Answer:
One: P = 1/2 = 0.5
Two: P = 8/14 = 4/7 = 0.714
Step-by-step explanation:
One
I take it that the question is a prime number or 4.
P(four) = 1/14
The primes are 2,3,5,7,11,13. There are 6 of them
P(prime) = 6/14
P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2
Two
Multiple of 2 := 2 4 6 8 10 12 14
Multiple of 3 := 9 in addition to 6 and 12 which cannot be counted twice.
P(2 or 3) = 8/14 = 4/7 = 0.714
Ana uses Talk-A-Lot and Peter uses Talk-to-Me. Each company charges
the same amount per hour of talk time, however Ana and Peter will never
be charged the same amount. Write a system of equations that could
represent the situation. Explain.
Answer:
They both talk for a different amount of time
8.
y = 5x - 1 and
-5x = -1-y put in you first!
Point of Intersection:
Answer: (0; - 1)
Step-by-step explanation:
y = 5x - 1 and 5x = - 1 - y
y = - 1 - 5x
5x - 1 = - 1 - 5x
5x = -5x
5x + 5x = -5x + 5x
10x = 0
x = 0
y = 5x - 1
y = 5 × 0 - 1 = - 1
Factor: w^2 + 16w + 63
Answer:
(w+7)(+9) I worked it out but not sure how to attach do yea
Step-by-step explanation:
Answer: (w + 7) (w + 9)
Step-by-step explanation: factor using the ac method
In ΔUVW, u = 8.1 cm, v = 8.4 cm and ∠W=102°. Find the length of w, to the nearest 10th of a centimeter.
Answer:12.8
Step-by-step explanation:
im begging please please help me
A student pays for 8.6 pounds of apples with a $10 bill. How much change does the student receive?
What do you do first to solve the problem?
Answer: - $9.70.
Step-by-step explanation:
The vertical jump record at Teresa's school is 23 inches. On Field Day
Teresa jumped 2 feet 3 inches. Did Teresa break the record?
Answer:
yes
Step-by-step explanation:
two feet is 24 inches plus 3 = 27 inches
The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the number of bracelets and n represent the number of necklaces.
Answer:
There is no question but if you put the question in the comments down below I will answer it.
Step-by-step explanation:
Please help me anyone I’m kinda stuck
Answer:
z's exponent = 5
Step-by-step explanation:
the degree of monomial is basically all of the exponents added up
so:
x's exponent + y's exponent + z's exponents = the degree
So:
1+2+z's exponent = 8
(since x to the power of 1 = x)
3+z's exponent = 8
Subtract 3 from each side:
z's exponent = 5
In the equation, 5x + 3y = 30, I want to find the intercepts. Which would
problem would I solve to get the 'y' intercept?
15x = 30
15y = 30
5x + 3(0) = 30
5(0) + 3y = 30
Answer:
the fourth one
Step-by-step explanation:
y-intercept is when x equals 0
mark has a window that is 67 square feet. The window is in the shape of a square, which of the following expresses the length of one side of the window?
{ mark all that apply}
A- √64 feet
B- √67 feet
C-√76 feet
D- √81 feet
E-√100 feet
Answer:
[tex]\sqrt{67}\:\mathrm{feet}[/tex]
Step-by-step explanation:
The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex].
Therefore,
[tex]s^2=67,\\s=\fbox{$\sqrt{67}$}[/tex].
Find function inverse of f? F(x)=x+2/7
Answer:
f’(x) = x -2/7
Step-by-step explanation:
Let f(x)= y
Thus;
y = x + 2/7
x = y-2/7
So the inverse f’(x) = x - 2/7
Which of the following functions best describes this graph?
A. y = (x - 3)(x + 1)
B. y = x - x +5
C. y = x? -5x + 6
D. y = (x - 1)(x - 1)
Answer: D: Y=(x-1)(x-1)
Step-by-step explanation:
The function described by the graph is [tex](x-1)^2[/tex].
Therefore, the correct answer is Option D. y = ( x - 1 ) ( x - 1 )
Given data:
The function is represented as f(x) = y
Now, the value of f(x) is plotted below:
To plot the graph, start by determining some key points and then connecting them.
When x = 0:
f(0) = 1
So, the point is (0, 1).
When x = 1:
f(1) = 0
So, the point is (1, 0).
When x = 2:
f(2) = 1
So, the point is (2, 1).
The graph of [tex]f(x) = (x - 1)^2[/tex] is a parabola that opens upwards. The vertex of the parabola is at the point (1, 0), which corresponds to the minimum value of the function.
As x moves further away from 1 in either direction, the function increases.
Hence, the parabolic function is [tex]f(x) = (x - 1)^2[/tex].
To learn more about parabola, refer:
https://brainly.com/question/24042022
#SPJ7
HELPPP PLEASEEEE :) !!!!!
Answer:
wu need help with
Step-by-step explanation:
that's easy it a
URGENT! PLEASE HELP ME!
Martin had read 70% of a book. He has 3 more pages to finish. How many pages are there in the book?
Answer:
15
Step-by-step explanation:
15x3=70
Answer:
5.1 pages
Step-by-step explanation:
70% of 3 is 2.1 and 2.1 + 3 = 5.1
Find the slope of the line that passes through the two points below."
(7,-1) and (9,0)
Answer:
1/2 or 0.5 (same value, different form)
Step-by-step explanation:
Ok...since I can't actually graph it, we can make a table out of it....
x y
7 -1
9 0
From -1 to 0, we add 1 (this is for the y section)
From 7 to 9, we add 2 (this is for the x section)
Now all we have to do is divide the y with the x
y/x = 1/2
The slope will be 1/2 (fraction form) 0.5 (decimal form)
Hope this helped!
The range for a set of data, A. is 6.2
The range for another set of data, B. is 7.1.
Compare the spread of set A and B.
what
Answer:
0.9
Step-by-step explanation:
range=highest-lowest
=7.1-6.2
=0.9
The wound in the ....... took a long time to ....... .
(heel,heal) fill the blanks i will give u points heart brainlist rating
Answer:
The wound in the heel took a long time to heal.
50 POINTS
If you are going 60 mph, how many miles will you go in 45 minutes?
Answer:
You would go 45 miles.
Step-by-Step Explanation:
If you are going 60 mph you would be going 1 mile per minute
x + 4 =7
Solve the equation for the value of the variable show all work someone please help
Answer:
x = 3
Step-by-step explanation:
x + 4 = 7 ( isolate x by subtracting 4 from both sides )
x = 3
On Thursday, a local hamburger shop sold a combined total of 417 hamburgers and cheeseburgers. The
number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were
sold on Thursday?
Let H represent Hamburgers.
Let cheeseburgers represent 2H .
H + 2H = 417
3H = 417
H = 417/3
H = 139 hamburgers
2H = 2 * 139 = 278 cheeseburgers
Therefore, there were 139 hamburgers sold on Thursday.
Nine less than 2/3 of a number is 11
Answer:
30
Step-by-step explanation:
let 'n' = a number
[tex]\frac{2n}{3}[/tex] - 9 = 11
2n = 20
3
cross-multiply: 2n = 60
n = 30
What is the volume of the rectangular prism
Answer:
Step-by-step explanation:
you got this i believe in you!