Answer:
-3x2 - 8xy + 3y2
Step-by-step explanation:
50 points!!!
1.A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the perimeter of the triangle if the second side is length s?
(2s + 65) + (s) + (s + 10) = 165
(2s - 65) + (s - 10) = 165
(2s - 65) + (s) + (s - 10) = 165
3s = 165
2. A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What is the length of each side of the triangle?
65 cm, 55 cm, 45 cm
55 cm, 60 cm, 50 cm
45 cm, 60 cm, 60 cm
not enough information to solve
FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.
Let a = first side
Let b = second side
Let c = third side
NOW, we can turn the words into equations:
"a triangle has a perimeter of 165 cm."
a + b + c = 165
"the first side is 65cm less than twice the second side."
a = 2b - 65
"the third side is 10cm less than the second side."
c = b - 10
Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]
If we could get this to have only one variable, we could solve it. Substitution to the rescue!
a + b + c = 165 (rewrote equation from above)
(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)
See how that works? Let's solve it.
2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)
4b - 75 = 165 (combined like terms)
4b = 240 (added 75 to both sides)
b = 60 (divided both sides by 4)
We found the second side! We can find the first and third sides using those equations from above:
a = 2b - 65
a = 2*60 - 65
a = 120 - 65
a = 55
c = b - 10
c = 60 - 10
c = 50
All done.
PLEASE MARK ME AS BRAINLIEST
Step One - Define the Unknown Variable
First we need to define our unknown variable. For this case, I am going to use the letter 's' for the second side of the triangle (no actually because the question told you to). The reason I am using the second side as the unknown is because the second side is independent. The first and third sides' lengths depend on the length of the second side.
Step Two - Write an Equation
We need to use what we know to write the equation. First, we know that the perimeter of a polygon is the sum of the lengths of all the sides. The first side is 65 less than two times 's'. This would be 2s-65. The second side is just s. The third side is 10 less than 's'. So it would be s-10. The perimeter is all of the sides added up, so the expression for all the sides added up is (2s-65)+(s)+(s-10). The first, second, and third side added up is 165. So the equation for 1. is (2s-65)+(s)+(s-10) = 165.
Step Three - Solve the Equation
To solve the equation, you need to isolate the variable, which is 's'.
First, let's simplify the equation.
(2s-65)+(s)+(s-10) = 165.
4s-75 = 165.
Now we need to remove the 75. To get rid of the 75, you must add 75. But since you are adding 75 to one side of the equation, you must add 75 to the other side of the equation to make it equal.
4s-75+75 = 165+75
4s = 240
Now we need to remove the 4. To get rid of the 4, you have to divide each side by 4.
4s÷4 = 240÷4
s = 60
The length of the second side is 60 cm.
Step Four - Find the Lengths of all Sides
Now we know the length of the second side, we can find the length of the other sides.
The first side is 65 less than two times of 60.
Two times of 60 is 60×2 or 120.
65 less than 120 is 120-65 or 55.
The first side is 55 cm.
The third side is 10 less than 60.
10 less than 60 is 60-10 or 50.
The third side is 50.
So the lengths of the three sides are 55, 60, and 50.
Step Five - Check Your Answer
Now let's see if the three sides added up equals to 165.
Well, 55+60+50 does equal 165, so we know this is right.
The equation that represents the perimeter of the triangle is (2s + 65) + (s) + (s + 10) = 165. The length of each side of the triangle is 55, 60, and 50.
what is 1/4 of 40. write and solve equation
Answer:
10
Step-by-step explanation:
To find 1/4 of 40, is the same as dividing 40 into four parts (each of the four parts become 1/4 of the whole). 40/4=10.
Based on the Venn diagram below, how many students are in band?
A.) 9
B.) 25
C.) 17
D.) 14
Find the zeros of the function.
f(x) = 2x2 – 2x – 12
Answer:
Step-by-step explanation:
2x^2-2x-12
This has solutions of x=3 and x= -2
please help me...
Which of the following are included in the First Amendment?
a. It protected the right to keep and bear arms.
b. It protected the right of having a trial by jury.
c. It protected citizens from quartering troops in their homes.
d. It protected the freedoms of speech, religion, and the press.
Answer:
d and b
Step-by-step explanation:
Answer:
Sophia is correct choose D
Step-by-step explanation:
it was correct for me
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
The expression for the perimeter is 4x + 10 = 62 and the length of the rectangle is 18 cm.
What is a perimeter?The perimeter is the distance around the edge of a shape.
Given that the width of the rectangle is x cm, length is x+5, and the perimeter is 62.
The general equation for the perimeter of a rectangle is given by
2 (length + width) = perimeter
By substituting the values we get
2(x+5+x) = 62
i.e 4x+10 = 62
x=52/4 = 13
Then length is given by
x+5 = length
i.e length = 18
Hence the 4x + 10 = 62 is the expression for the perimeter of a rectangle of length 18cm.
To learn more about perimeter, use the link given below:
https://brainly.com/question/6465134
#SPJ2
plssssssss helppppp !!!!!!!!!!!!!!!
Answer:
M = 6 inches
Step-by-step explanation:
M and the line that straight up says "6 in" are the same size. besides, this gives us very little information to go off of.
May I have brainliest please? :)
Answer : M = 7.5 Inches
Step-by-step explanation:
Its obvious.
Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.
Answer:
-2.4 · [tex]10^{5}[/tex]
Step-by-step explanation:
Right triangle LMN is shown. What is the length of the hypotenuse, x, of triangle LMN? Round your answer to three decimal Places. Use the equation below.
Answer:
55.866 ft
Step-by-step explanation:
[tex] c^2 = a^2 + b^2 [/tex]
[tex] x^2 = 40^2 + 39^2 [/tex]
[tex] x^2 = 1600 + 1521 [/tex]
[tex] x^2 = 3121 [/tex]
[tex] x = \sqrt(3121} [/tex]
[tex] x = 55.8659 [/tex\
Answer: 55.866 ft
The length of the hypotenuse, x, of triangle LMN to 3 decimal place is
55.866 ft
using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the 2 other legs.
Therefore,
40²+ 39² = x²
1600 + 1521 = x²
x² = 3121
square root both sides
x = √3121
x = 55.8659108939
x ≈ 55.866 ft
learn more: https://brainly.com/question/16865247?referrer=searchResults
Question 1 (20 points)
Ify is directly proportional with x and ya 10 when x = 5, what is the value of y when x = 27
Answer:
yo noob this is no 20 points
Step-by-step explanation:
Answer:
the answer is 54
Step-by-step explanation:
samuel washes the supper dishes each night as a part of his chores.
it takes him 1/3 an hour to clean the dishes
if samuel has to wash the dishes 5 times a week. how many minutes does he spend washing the dishes?
write the equation of the line that passes through the given points. (0,-1) and (-11,-4)
Answer:
Line equation
y=0.2727272727272727x−1 Slope 0.27 Intercept -1
Step-by-step explanation:
Each box holds 6 black markers and 4 red markers. Derek has 0 boxes of markers. Write a number sentence that shows how many markers Derek has. Explain how you found your answer.
Answer:
0 x 1 x 10 = 0
Step-by-step explanation:
0 x 1 x 10 = 0
This is problem that has to do with multiplication with 0.
Since Derek has 0 boxes of markers and each box contains 10 markers, 6 black and 4 red, think of it as Derek having 0 groups of a box of markers. This means Derek has 0 boxes where each box contains 10markers.
0 boxes means Derek has no markers.
There are 36 students in the chess club, 40 students in the drama club, and 24 students in the film club. What is the ratio of students in the drama club to students in the film club?
Answer:
5 to 3 (5:3)
Step-by-step explanation:
drama: 40 film:24
40:24 /2
20:12 /2
10:6 /2
5:3
Answer: 5/3
Step-by-step explanation:
The ratio is 40/24 and to simplify this, you need to divide both sides by the largest number possible while still getting a whole number. You can divide both sides by 8 which will get you 5/3.
The ratio of students in the drama club to students in the film club is 5/3.
i will mark brainliest please help
Answer:
The answer would be two and four
Step-by-step explanation:
Answer:
II and IV
Step-by-step explanation:
H and S only would appear the same after 180° rotation.
The triangles in the picture are congruent by which method.
Explanation:
Check out the diagram below. I've marked the angles that pair up which are congruent to one another. Note the order is important. The AAS rule is different from ASA. In the diagram, the green segments are not between the red and blue angles.
Note: the blue angles are congruent by the vertical angle theorem.
I need help with this question
whats the domain {[-1.5,3.5),(2.5,-1.5),(3,-1),(-1.5,-3.5)}
Answer:
-1.5<x<3
_ _
idk how to type less than or equal to signs but thats what I'm trying to say
what is 3X^2 × 2X^3
Answer:
Step-by-step explanation:
3x^2 * 2x^3= 6x^5
Multiply the 3 and 2 to get 6. Add the exponents.
PLZZZ ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!
Answer:
3 and 4 are complementary angles
Step-by-step explanation:
I cant see the answers very well so if that isnt an answer lmk
A local hamburger shop sold a combined total of 509 hamburgers and cheeseburgers on Monday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday.
How many hamburgers were sold on Monday?
Answer:
I believe 225 hamburgers were sold on Monday.
Step-by-step explanation:
what is the measure of <x
Answer:
x = 24°
General Formulas and Concepts:
Pre-Alg
Equality PropertiesGeometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up equation
x + 156 = 180
Step 2: Solve for x
Subtract 156 on both sides: x = 24what's X+ 3 = x^ 3- 7x + 5
Answer:
2.693995, or −2.945995 or 0.252
Step-by-step explanation:
(0,-4) graph the vertex
Answer:
Look below for the screenshot :)
Mark has to travel a distance of 400 miles. He travels at a speed of 50 miles per hour. The function f(x) = 400 − 50x represents the distance he has to travel after x hours. Identify the graph that describes this function and its intercepts. What does each intercept represent?
Answer:
x-intercept: 8; the number of hours
y-intercept: 400; distance to be covered
Anyone else Feel there not enough :(
Answer:
bro you good go talk to someone if you need mental health
Step-by-step explanation:
Plz need help
It’s for geometry
Answer:
Angle x = 48
Angle y = 42
Side w = 1.6cm
Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Answer:
105.8
Step-by-step explanation:
All you have to do is add them up :)
Answer:
95.80
Step-by-step explanation:
Btw this is very easy Hope this Helps tho (✿◡‿◡)
Solve for y: 4x + 2y = 6
Move all terms that don't contain y to the right side and solve.
y = 3 − 2x
Answer:
Y= 2x - 3
Step-by-step explanation:
SUPER EASY 20 POINTS HELP ME
Answer:
x=10
Step-by-step explanation:
Just do the math. Its easy.
Answer:
x=10
Step-by-step explanation:
i dont explain