5. A triangle has side lengths 3x2 + 5x –1, 6x2 + 5, -7x +1.
Which of the following expressions represents the perimeter of the triangle?
A. 9x2 + 2x + 5
B. 9x2 – 2x + 5
c. 9x2 + 2x + 4-1
D. 9x2 – 5x + 7x + 5
Answer:
option B. 9x² – 2x + 5x
Step by step explanation:
The perimeter of a triangle is the sum of all its three sides.
3x²+5x–1+6x²+5–7x+1
= 9x²–2x+5
Quadrilateral ABCD is translated to get quadrilateral A’B’C’D’. Vertex A is at (-5, 2), and vertex A’ is at (2, -2). Quadrilateral ABCD is translated blank. If vertex B is at (-6, 5), then vertex B’ is at blank
Answer:
vertex B' is at (1, 1)
Step-by-step explanation:
Let us revise the rules of translation of a point
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Let us use the rules to solve our question
∵ Vertex A = (-5, 2)
∵ Vertex A' = (2, -2)
→ The coordinates of the two points changed which means the
quadrilateral is translated horizontally and vertically
∵ The x-coordinate of A = -5
∵ The x-coordinate of A' = 2
→ Which means it moves to the right, so use the first rule above
∴ the rule of translation is T (x, y) → (x + h, y)
∴ x → x + h
∵ x = -5 and x + h = 2
∴ -5 + h = 2
→ Add 5 to both sides
∴ -5 + 5 + h = 2 + 5
∴ h = 7
∴ The quadrilateral is translated 7 units right
∵ The y-coordinate of A = 2
∵ The y-coordinate of A' = -2
→ Which means it moves down, so use the 4th rule above
∴ the rule of translation is T (x, y) → (x, y - k)
∴ y → y - k
∵ y = 2 and y - k = -2
∴ 2 - k = -2
→ Add K to both sides
∴ 2 - k + k = -2 + k
∴ 2 = -2 + k
→ Add 2 to both sides
∴ 2 + 2 = -2 + 2 + k
∴ 4 = k
∴ The quadrilateral is translated 4 units down
→ Let us find B'
∵ T (x, y) → (x + h, y - k) is the rule of translation
∵ B = (-6, 5)
∵ h = 7 and k = 4
∴ B' = (-6 + 7, 5 - 4)
∴ B' = (1, 1)
∴ vertex B' is at (1, 1)
Quadrilateral ABCD is translated 7 units right and 4 units down. If vertex B is at (-6, 5), then vertex B′ is at (1, 1)
Which set of numbers could represent the lengths of the sides of a triangle?
As long as any 2 numbers from the set of 3 adds up to be greater than the third number, it could represent the sides of a triangle.
Simplify (I don't know how to write the question itself)
Answer:
16/9
Step-by-step explanation:
The value of w varies directly with z. If z = 4, then w = 12. What is the value
of w when z = 6? (TEKS: A2D)
Answer:
18
Step-by-step explanation:
w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:
w = kz
When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:
12 = 4k
Dividing both sides by 4:
12/4 = 4k/4
k = 3
Therefore the equation becomes:
w = 3z
The value of w when z = 6 is given as:
w = 3(6)
w = 18
simplify 8/9/20 please
The value of 8/9/20 could be either 0.04 or 17.77.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given the fraction,8/9/20
Case 01)
(8/9)/20 = 0.888/20 = 0.044.
Case 02)
8/(9/20) = 8/0.45 = 17.77.
Hence "The value of 8/9/20 could be either 0.04 or 17.77".
For more about fractions,
https://brainly.com/question/10354322
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what is the area of a rectangle that is 3/4 ft wide and 1/12 ft long?
Answer:
3/8
Step-by-step explanation:
because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8
please help, 20 points !!
What is the relationship between Angle 2 and Angle 7?
Answer:
they are the same
Step-by-step explanation:
they are not diffrent because its that same
Answer:
They are alternate interior angles.
MARK ME BRAINLIEST!!
10 Nessa takes her friends out to lunch and the total cost of the meal is $88.71. The
restaurant then added a 20% tip to the cost of the meal. Not including the sales or
meals tax, what was the total cost of the lunch with the tip?
7/8 divided by 3/4.
PLZ HELP WILL MARK BRAINLEST 1 hours max!!!!
2 or more have to answer plz help me !!!!!!!
Answer:
3x + 2 = 14
3x + 2 - 2 = 14 - 2
3x = 12
3x/3 = 12/3
x = 4
Step-by-step explanation:
3x + 2 = 14
subtract 2 from both sides
3x + 2 - 2 = 14 - 2
combine like terms.
3x = 12
divide both sides by 3
3x/3 = 12/3
x = 4
Which one is a function brainliest will be involved:)
Answer:
4th one because all the x values are different
Step-by-step explanation:
Write y = 4x + 2 in Standard form.
Answer:
4x-2=y
Step-by-step explanation:
PLEASE HELP!!! 45 POINTS!!!
I know this is hard I'm sorry ;-;
Answer:
A
Step-by-step explanation:
hi! this is modus ponens. modus ponens is a form of assumption, and modus tollens denies the initial statement. modus ponens is like saying if A, then B occurs as well. if A is proven to be true, B must also be true. this makes sense in this situation because it says if an animal is a dog, then it barks (if A, then B). the animal barks, so it is a dog (A is true, so B must also be true).
hope this helps!
ok so how do u divide decimals by a whole number like for example 9.6 divided by 3
Answer:
use a calculator if you don't have one use a google calculator
Step-by-step explanation:
Find the slope of the line that passes through (4,8) and (2, 1)
Please help
Answer: (7,2)
Step-by-step explanation below.
Hello!
First, we need to put it in the y2-y1/x2-x1 form.
8-1/4-2 = 7/2
So the slope would be...
m = 7/2
So the line would go up 7 and right 2.
Hope this helps you!
A tin of baked beans costs 42p. Its price increases by 9% over the next 12 months. How much
will the tin cost now?
Answer:
46p
Step-by-step explanation:
42*1.09=45.78
45.78 rounded up is 46p
Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced
Answer:
2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 6y = - 18 ( subtract 3x from both sides )
6y = - 3x - 18 ( divide all terms by 6 )
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
Slope of the line perpendicular to given line 3x + 6y = –18 is 2
What is slope intercept form and relation between slopes of two perpendicular lines ?The slope intercept of a line is given : y = m x+ c
y is y coordinate, x is x coordinate, m is the slope of the line
c is y- intercept of the line
If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or m₁ *m₂ = -1
Given line is 3x + 6y = –18
Subtract 3x from both sides
⇒ 3x +6y -3x = -3x-18
⇒ 6y = -3x-18
⇒ y =(-3/6)x -18 /6 = (-1/2) x -3
comparing it with slope intercept , slope = -1/2
let the slope of line perpendicular to given line is m
then m.(-1/2) = -1
⇒ m = 2
∴Slope of the line perpendicular to given line is 2
Also, learn more about the slope intercept form from the link below:
brainly.com/question/9682526
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Explain how to make this an expression
176.3- 15.75
Answer:
I have that same question on my extra credit!
Step-by-step explanation:
I know the answer its 160.55 but I don't know what i should do for the problem. This is my questions:
Mina asked four friends to explain how each one solved the expression . Here are their explanations Please comment if these are the same:
Ivy’s explanation: I lined up the numbers to subtract.
176.3
- 15.75
18.8
Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract.
176.30
- 15.75_
161.45
Jose’s explanation: I lined up the two decimals according to place value.
176.3
- 15.75
161.45
An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line.
15.75 + 0.25 = 16
16 + 4 = 20
20 + 150 = 170
170 + 6 = 176
176 + 0.3 = 176.3
I rearranged the underlined numbers to make them easier to add: .
150 + 6 + 3 + 0.25 = 163.25
Explain each student’s mistake and solve the problem correctly.
Show your work.
A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following
changes to the way the park land is used
• Clearing dead trees and shrubs would allow for 37 51 square meters of additional grassy area.
• Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
• Updating and expanding the playground would reduce the grassy area by 54 19 square meters
How many square meters of grassy area would the park have if all of the community group's proposals were applied?
Answer: they would have 216.06 square meters of grassy area left in the park
Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)
PLEASE HELP I AM BEING TIMED!!!
Statment: Find the value of x that makes Line U and line V and parallel.
Options: 2
6
8
4
Answer:
6
Step-by-step explanation:
To be parallel the degree of both lines need to be equal
130=20x+10
120=20x
6=x
Can you please help me solve this and show the solution 4y⁴+6y?
Answer:
4y^4 + 6y = 256y + 6 = 262y
Step-by-step explanation:
Remove the variables for a second and think of the problem as a normal expression; 4^4 + 6
Simplify the first term; 4^4 = 256
Now, add 6; 256 + 6 = 262
Add back in the variable; 262y
Answer:
2y(2y+3)
Step-by-step explanation:
2y(2y) +6y factor 2y out of 4y^2
2y(2y)+2y(3) factor 2y out of 6y
2y(2y + 3) factor 2y out of 2y(2y)+2y(3)
Gina's family goes to a theme park. The family pays a $12 fee to park their car and buys admission tickets for all 5 family members. Her family pays a total of $132 . Which equation can be used to solve for t , the price of one admission ticket?
A.
5(12+t)=132
B.
5t+12=132
C.
5(12)+t=132
D.
5+12+t=132
Answer:
B
Step-by-step explanation:
I took the quiz.
What is 10 1/12 as a decimal
Answer:
10.083
since 1/12 is .0833333333 and so on, it’s shortened
Step-by-step explanation:
Answer:
10.0833333333
Step-by-step explanation:
PLEASE
What is the slope and the y-intercept for the
equation = −2 − 2?
Answer:
So the slope is -2 while the y-intercept is -2
Step-by-step explanation:
y=mx+b
so you need to rearrange it so it will be
y=-2x-2
So m is slope so it is -2
and -2 is b which is the y-intercept so it is -2
Hope this helps and sorry I took so long
Plz help me
Thank you
What are the 2 points on the graph? Choose 2.
Answer: (0,-1) (4,4)
Plz mark brainliest:)
Answer:
The top one is (-4,4)
and the other one is (0.-1)
hope this helps :)
Evaluate 5 + (-4) + (-7) +2
Answer:
5+(-4)+(-7)+2
5-4-7+2
5-11+2
5+2-11
7-11
-4
What is the quotient of 513 divided by 19
Answer:
The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.
The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
First you set up the equation of your quotient. Then divide it by 19, like so 513÷19 lastly you solve the answer that the math you calculated.
Daniela has money automatically deposited into a savings account each week. After 3 weeks, she has $18. After 5 weeks, she has $30. The unit rate is measured in dollars per week. What is the constant of proportionality
A. 1/6
B. 12
C. 6
D. 3
Answer:
the answer is c
Step-by-step explanation:
the answer is c