Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
PLEASE HELP (PICTURE INCLUDED)
Which triangle is a 30°-60°-90° triangle?
25 POINTS
Calculate these, and write each awnser in Standard Form.
Step-by-step explanation:
Do you need answers to all of them of some of them?
1. (4.5×10¹²)÷(9×10^10)
(45×10^-1×10¹²)÷(9×10^10)
(45×10¹¹)÷(9×10^10)
(45÷9)×(10¹¹÷10^10)
5×10
if you need help with the others kindly let me know
Determine the value b
Answer:
17
Step-by-step explanation:
6x7= 42
42 divided by 2 = 21
21 - 4 = 17
answer = 17
Ms. Gregg spent $14 buying fruit
• Apples cost $2 per pound
• Bananas cost $1 per pound.
• What are some possible amounts of pounds of apples and
bananas that Ms. Gregg could have bought?
Answer:
Ms. Gregg could buy 4 apples and 6 bananas
Step-by-step explanation:
You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.
Pls help me it’s overdue!!!
Answer:
Step-by-step explanation:
a = 1935 / 5 is the change
b = 1960 / 10 is the change
c = 1950 / 20 is the change
They are all increasing i'd assume they all went threw a positive change
a man is twice as old as his son. 20 years ago the sum of their age is 85
Need this very badly
Answer:
a.) 94 cm^2
Step-by-step explanation:
3 x 4 = 12
5 x 3 = 15
4 x 5 = 20
12 + 12 + 15 + 15 + 20 + 20 = 94
Answer: 94 cm squared
Step-by-step explanation:
Can somebody help me. Will mark brainliest.
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.
A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
Blue Line Red Line
y-intercept
slope
Inequality
Answer:
Y-intercept
Step-by-step explanation:
Because they both meet
How was your winter break and what would are your goals of 2021? What would you have done differently in 2020? lol i don't know what to say :(.
Answer:
Just look at the explanation
Step-by-step explanation:
My winter Break was really great. I got to spend time with my family! Looking back on 2020, I see that I would have iked to ask my parents for a dog before we figured out that they were allergic to them. But other than that, I am so glad that this year is over!
A book costs $ 25.00. You have a coupon for 30 % off. Calculate the final price of the book with a 5% GST. (Begin by finding the discount price and then adding the GST)
Answer:
$18.375 or rounded = $18.38 (brainliest if correct)
Step-by-step explanation:
25.00- 7.5 = $17.5
5% of 17.5 = 0.875
17.5 +0.875 = 18.375
in the computer lab, there are 1 PC every 5 Mac computers. if the computer lab has a total of 24 computers, how many are Mac?
Answer:
20 of the computers are Mac
Step-by-step explanation:
if 1 pc = 5 Mac
4 pc = 20 mac
add 4 + 20 you get 24 which is the total number of computers
JKLM is a rhombus. Find JK. PLZ HELP!
Answer:
JK=8
Step-by-step explanation:
the sides are equal so set KL equal to LM
b+5=3b-1
b=6=3b
6=2b
b=3
b+5
3+5
8
Using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.
What is a Rhombus?A rhombus is a quadrilateral.The four sides of a rhombus are congruent, that is, they have equal measure.Thus:
KL = ML
Substitute
b + 5 = 3b - 1
Solve for bb - 3b = -5 - 1
-2b = -6
b = 3
Find JK
JK = KL = b + 5
JK = b + 5
Plug in the value of bJK = 3 + 5
JK = 8
Therefore, using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.
Learn more about rhombus on:
https://brainly.com/question/3050890
HELP Darius owns a business that manufactures and sells record players, now that vinyl records have resurged in popularity. The graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
Answer: 32 and 85
Step-by-step explanation:
Darius set the price between $32 and $85.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
Given:
We have the graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
For the expected revenue = 32 the cost is $5539.
and, For the expected revenue = 85 the cost is $4062.
and there is a peak at expected revenue 52.
Then, for profit Darius set the price between $32 and $85.
Learn more about Graph here:
https://brainly.com/question/17267403
#SPJ5
could someone help me with this please? thank you
Answer:
x1 = 0.52
x2 = -10.1
x3 = 0.97
Step-by-step explanation:
From the question;
x1 = 1 - 3/(x0)^2
x0 = -2.5
x1 = 1- 3/(-2.5)^2
x1 = 1 -0.48
x1 = 0.52
x2 = 1 - 3/(x1)^2
x2 = 1 - 3/0.52^2
x2 = 1 - 11.1
x2 = -10.1
x3 = 1 - 3/(x2)^2
x3 = 1- 3/(-10.1)^2
x3 = 0.97
What inequality is represented by the graph below
Answer:
A
Step-by-step explanation:
when the line is solid its greater, smaller or equal to
when the line is dashed its greater or smaller
When the shade is above the y is greater
When the shade is coming from down its less than
−7×7+9× −1/−1 = ?
evaluate?
Answer:
-40
Step-by-step explanation:
-7 x 7 + 9 x (-1) / (-1)
-49 + 9 x (-1) / (-1)
-49 - 9 / (-1)
-49 + 9
= -40
What is Thuy’s error?
Thuy should have written the ratio as StartFraction 30 inches over 3 inches EndFraction.
Thuy should have written the ratio as StartFraction 30 inches over 39 inches EndFraction.
Thuy should have divided both numbers by 6.
Thuy should have divided both numbers by 13.
Answer:
number b
Step-by-step explanation:
thuy should have written the ratio as 30/39
A windowpane is 20 centimeters tall and the diagonal distance from one corner to the other is
25 centimeters. How wide is the windowpane?
centimeters
Answer:
The windowpane is 15 centimeters wide.
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
20^2 + b^2 = 25^2
400 + b^2 = 625
b^2 = 225
b = 15
Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)
Answer:
I think it would be something like 5x - 3 =
What are the values of the expression??
(-10)2 and -102.
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
(I NEED IT NOWWWWW HURRYYYY)You have half of your pens in your backpack. You give half of these to your friend, Alex. What fraction of your total pens did you give Alex?
Answer:
1/4 of ur pens
Step-by-step explanation:
Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
Answer:528
Step-by-step explanation:
This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528
Determine how far the vehicle travels in 3 hours.
A motorcycle travels 25 miles every 0.5 hour.
Answer:
Motorcycle travel 150 miles in 3 hours
step by step explanation:
3:0,5=6
25
. 6
___
150
I’m just doing it for my niece but who knows it
Answer:
I personally think the third one
Step-by-step explanation: