Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / -6 - 6
-6 / -12
= 1/2
We want to find the slope of a line given that we know that the line passes through the points (6, 3) and (-6, -3).
We will find that the slope is: 1/2
A general line can be written as:
[tex]y = a\cdot x + b[/tex]
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We know that our line passes through (6, 3) and (-6, -3), then the slope of our line will be:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12}[/tex]
Now to simplify this, we know that:
-12 = 2×(-6)
Replacing that in the above equation we get:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12} = \frac{-6}{2\cdot -6} = \frac{1}{2}[/tex]
Then the slope written as a simplified fraction is:
a = 1/2
If you want to learn more, you can read:
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A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?
Answer:
270 flowers total she sell Together.
Step-by-step explanation:
According to the Question,
Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.Let, x = number of orchid bunches & y = number of rose bunches.
Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390Therefore, 25x + 30y = 390 ⇒⇒ Equation 1
she sells 4 times as many orchid bunches as rose bunches,
Therefore, x = 4y ⇒⇒ Equation 2
Put The Value Of Equation 2 in Equation 1, We get25 × (4y) + 30y = 390
100y + 30y = 390
130y = 390 ⇔ y = 390 / 130 ⇒ 3
if y = 3, then x = 4y must be equal to x= 12.
Thus, she sold 12 orchid bunches and 3 rose bunches.
Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.
12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.can someone please help
Answer:
Concurrent as my perception
the slope of the line
Answer: -2
Explanation: On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]
Simplified that is -2 which is the slope of the line
100 points
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.
Answer:
Solution set include (1,5), (1,4)
Step-by-step explanation:
To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.
The Solution set would be anything in the overlapping area between both line's shades.
Find the roots of the quadratic equation (4p-1)² = 4p²
( Please show me how it works , Thankiuuu ༎ຶ‿༎ຶ )
Answer:
p = 1/2
Step-by-step explanation:
(4p - 1)^2 = 4p^2
(4p - 1)^2 =(2p)^2
4p - 1 =[tex]\sqrt{(2p)^2}[/tex]
4p - 1 =2p
4p - 2p =1
2p = 1
p =1/2
Pls help I would APPRECIATE IT
rationalising factor of 5 +root 7
Answer:
Therefore, lowest rationalizing factor is ( 7 + √7 ).
Step-by-step explanation:
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mark me as BRAINLIEST
100%sure
Answer:
5 - [tex]\sqrt{7}[/tex]
Step-by-step explanation:
To rationalise the factor multiply by the conjugate factor
The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then
(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL
= 5² - ([tex]\sqrt{7}[/tex] )²
= 25 - 7
= 18
The library has 215 new books 155 of those books already have been put on shelves .the rest of the books are divide equally amount 5 boxes
Answer:
Ok to do this question we must first put it into a algebraic equation.
215=5x-155
This is are equation. lets first get rid of the 155 by adding it to the 215 which is 370.
370=5x
Ok now we will divide 370 by 5 which is 74.
x=74
Your Welcome
BIFFY OUT!!!
20 points!!! Tysmmm!! If you can help with other questions on my page to that would mean so much
Answer:
(2w+2)(w+8) ≤ 100
Step-by-step explanation:
Answer:
●(2w+2)(w+8)< 100 represents the inequality that combined the area of Garden and walk away.
Step-by-step explanation:
this is correct!!
simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2
the answer is in the attachment
Hope it helps
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
i think it is A
Step-by-step explanation:
Answer:
its A between -9 and -10
Step-by-step explanation:
Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
can someone pls help for brainlest
Answer:60
Step-by-step explanation:20x6=120 120/2=60
Answer:
200 cubic centimetres
Step-by-step explanation:
Length = [tex]20 \: cm[/tex]
Width = [tex]6 \: cm[/tex]
Height = [tex]5 \: cm[/tex]
Volume = [tex] \frac{1}{3} \times w \times l \times h[/tex]
[tex] = \frac{1}{3} \times 20 \times 6 \times 5[/tex]
[tex] = \frac{20}{3} \times 6 \times 5[/tex]
[tex] = \frac{20}{3} \times (3(2)) \times 5[/tex]
[tex] = 20 \times 2 \times 5[/tex]
[tex] = 40 \times 5[/tex]
[tex] = 200 \: {cm}^{2} [/tex]
Hope it is helpful...Pls help me I don’t understand this!!!!
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
Answer:
D
Step-by-step explanation:
angle J is a circumference angle that insists on arc ML. the measure the angle of this arc is double of it
59 * 2 = 118 degrees
On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
Find the perimeter of the composite figure
Answer: 172.3ft
Step-by-step explanation:
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
distribute property
Step-by-step explanation:
5 is distributed into the parentheses.
5 × x = 5x
5 × (-7) = -35
5x - 35 = 55
Hope that helps.
The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.
What is a Product?Product is the output of the mathematical operation Multiplication.
The Step 1: 5 (x minus 7) = 55.
Step 2: 5 x minus 35 = 55
In step 2 Distributive property is used to solve the expression.
According to Distributive property
The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.
a ( b+c) = a*b + a*c
5 (x -7) = 55.
5x - 35 = 55
Therefore, the distributive property is used.
To know more about Distributive Property
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PLEASE help !! someone who knows fr ! pls
Answer:
It is the first option
Step-by-step explanation:
wats the answer of 3/4 of 7/15
Answer:
3/4 × 7/15 =7/20
just multiplication
The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longer than the shortest side. The perimeter of the triangle is 33 inches.
Complete question is;
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.
Answer:
Shortest side = 7 inches
Side 2 = 13 inches
Side 3 = 13 inches
Step-by-step explanation:
We are told that;
Triangle is isosceles
The shortest side is 2x - 3 inches
The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;
Side 2 = side 3 = 2x - 3 + 6 = 2x + 3
Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;
(2x - 3) + 2x + 3 + 2x + 3 = 33
6x + 3 = 33
6x = 33 - 3
6x = 30
x = 30/6
x = 5
Thus;
Shortest side = 2(5) - 3 = 7
Other 2 sides are each; 2(5) + 3 = 13
A cone-shaped section is cut out of a cubic block of wood as shown. What is the volume of wood left after the cone is removed? Round to the nearest tenth.
12cm
12cm
12cm
Answers:
A. 371.5 in^3
B. 452.2 in^3
C. 1275.6 in^3
D. 1728.0 in^3
Answer:
Its A
Step-by-step explanation:
Its A
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
HELP ASAP
Jim went to the bank and made of a deposit of $525 into his checking account. He had both cash and a check. The check he deposited was written for $250. How much cash did he deposit? Construct an equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
which of the following are equation for the line shown below.(-2,4) and 1,-5)
can someone answer B for me please and thank you sm
Answer:
a = 1/8
b = 8
Step-by-step explanation:
a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8
b( 1/2 ) ^ -3 The negative exponent means 1 / (1/2)^3 = 1/ (1/8) = 8
How to do these questions step by step
Answer:
Only for question 1
Step-by-step explanation:
The answer is
When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all
what is 0.00051 convert in standard form
The answer is:
5.1 x [tex]10^-4[/tex]
Hi! can someone help?
Answer:
129
Step-by-step explanation:
[tex]\frac{5^{4} }{5} +4[/tex]
[tex]\frac{625 }{5} +4[/tex]
[tex]125 +4[/tex]
129
pleaseeeee helppp meee!!!
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
What number is equal to 58 × 5-6? 5 -2 5 2 5 48 5 -14
Step-by-step explanation:
please, write the problem statement properly. it is not clear what you are asking for.
for example, the way how you wrote it, the first expression would be
58 × 5 - 6
and that would be (remember, multiplication and division happen before any additions or subtractions)
58 × 5 - 6 = 290 - 6 = 284
nothing on the right side of numbers fits to that.
so, I am speculating. did you mean
58 × (5-6) ?
in that case we get
58 × (5-6) = 58 × (-1) = -58
and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.
and then I just propose that the right side could look like
-2×5 - 48 (which would also be -58).
but again, this could be something completely different.
so, please, write your problem statement again. and carefully.
