Step-by-step explanation:
The slope of the line = (y₂ - y₁) ÷ (x₂ - x₁)
= (-37 - (-61)) ÷ (-26 - (-32))
= 24 ÷ 6
= 4
DISTANCE FORMULA
find the distance between each pair of points round the answer to the nearest tenth
Step-by-step explanation:
The distance between 2 points is calculated with this formula:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
• in the first exercise:
- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1
- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2
then apply the formula:
[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]
[tex] \sqrt{81 + 1} [/tex]
[tex] \sqrt{82 } =9.05[/tex]
you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)
• in the second exercise:
- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1
- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2
then apply the formula:
[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]
[tex] \sqrt{(0) {}^{2} + (36) } [/tex]
[tex] \sqrt{36} = 6[/tex]
Donald Trump wants to build a 100 meter high tower as quickly as possible. He has unlimited resources and an unlimited budget and is willing to spend any amount to get the job done.
He has chosen to build the tower with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall. The blocks interlock on top and bottom (like legos). They cannot be stacked sideways or on their ends.
Using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are.
What is the shortest amount of time (weeks) that it will take to build the tower?
I looked up the answer, and everywhere it says that it is 10 weeks, but would it work with 1 stack of 100 blocks (1 week)?
Answer: 100 weeks
Step-by-step explanation: I think this is like a trick question or what not. I’m going to give you my best answer. It takes 1 week to stack a block and he wants it to be 100 meter tall. 1 block is one meter tall and since it takes 1 week per stack you would do 100 x 1 equals to 100 weeks. I know it says the shortest time but thats my best guess
It will take 100 weeks to build the tower.
Since Donald Trump wants to build a 100 meter high tower as quickly as possible with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall, and using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are, to determine what is the shortest amount of time (weeks) that it will take to build the tower, the following calculation must be performed:
Time per block x total blocks = Total time1 week x 100 = X100 weeks = XTherefore, it will take 100 weeks to build the tower.
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plz help....................
Answer:
A) x = 7
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
[tex]x+ 8 - 8 = 15 -8[/tex] [tex]x = 7[/tex]Therefore, the correct answer is A) x = 7.
Answer:
x=7
Step-by-step explanation:
x+8=15
x+8-8=15-8
x=7
Picture included help stuck on this question
A dilation is given by the transformation (x, y) →
(.75x, .75y). What type of dilation is this?
A) it is not a dilation
B) reduction
C) enlargement
Explanation:
We're multiplying each coordinate by 0.75, which is a value between 0 and 1. Whenever the scale factor is between 0 and 1, we always have a reduction. In this case, the linear dimensions are decreasing by 25% because 1-0.75 = 0.25 = 25%
So for instance, if the preimage had a side length of 12, then 0.75*12 = 9 is the corresponding image length. This is a reduction of 12-9 = 3. Then note how 3/12 = 0.25 = 25% is how much of a reduction we're dealing with.
find the equation of the line that passes through the point 0,8 and whose slope is 1.
Answer:
y = x + 8
Step-by-step explanation:
solve for g
E=5gh
g=?
Answer:
[tex]g = \frac{E}{5h}[/tex]
Step-by-step explanation:
To solve for g, given the equation: E = 5gh
Divide both sides by 5h:
[tex]\frac{E}{5h} = \frac{5gh}{5h}[/tex]
[tex]\frac{E}{5h} = g[/tex]
Answer:
E=5gh
E/5h=g
g=e/5h
Step-by-step explanation:
.......
May I please receive help?
During a fund-raising campaign, three sections in Kapayapaan Integrated School collected 125 12 kg, 163 23 kg, and 119 45 kg of newspaper. How many kilograms of newspaper did they collect? If they sold the newspaper at P5.00 a kg, how much in all did they get?
plz add u'r solutions
Answer:
81.4
Step-by-step explanation:
ADD THE 125 KG, 163 KG, AND 119
125 + 163 + 199 = 407
THEN DIVIDE IT TO p5.00
ans is (81.4).
the 1996 population of San Diego, California, was estimated to be about 1,170,000. This was about 3/7 of the estimate for Chicago. What was the approximate of Chicago?
HELP!!!!!!
whats the scientific notation of 30 x 10 to the power of -8
Answer:
[tex]3 \times 10 ^{ - 7} [/tex]
solve the equation for x: 3(m+7)=6(m+2)
Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute:
3m + 21 = 6m + 12
Subtract 3m and 12
3m = 9
Divide by 3
m = 3
another easy 8th grade problem for u guys to help me with aha
scale the numerator and the denominator down by a factor of 3 (divide) to write a
fraction equivalent to 18/42
Answer:
6/14
Step-by-step explanation:
divide the numerator and denominator by 3. 18 / 3 is 6 and 42 / 3 is 14. So your answer is 6/14.
Answer:
6/14
Step-by-step explanation:
Scaling the numerator and denominator means to multiply or divide both numbers by some number. "Scaling down" means to divide both the numerator and denominator by some value (in this case, 3). So you would have to divide the numerator by 3 and the denominator by 3.
18 / 3 = 6
42 / 3 = 14
So you would get the equivalent fraction 6/14 when you scale down the numerator and denominator by 3.
Kayla works at flower store.the owner tells kayla he wants to take 10 percent off a 18.00$ bouquet. If the bouquet still doesn’t sell the owner will again reduce the sale price by 15 percent. Kayla tells the owner the original price by 25 percent because the sale price would be the same
Kayla is wrong because the calculation will give different amounts since one gave $13.77 while the other one was $13.50.
Taking 10% off and then 15% off will give a price that will be calculated thus:
= $18 - (10% × $18)
= $18 - $1.80
= $16.20
Taking 15% off will then be:
= $16.20 - (15% × $16.20)
= $16.20 - $2.43
= $13.77
Now taking 25% off directly firm $18.00 will give:
= $18.00 - (25% × $18.00)
= $18.00 - $4.50
= $13.50
Therefore, Kayla is wrong.
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i) A new energy drink called
cost $3 25 per can. Can you buy 8 cans if you have $26?
Hint: The question is asking if 8 cans is a solution. Write the equation, then check by substitution.
Step-by-step explanation:
i) [tex]\sf 3,25 =\dfrac{13}{4} \\\\ Then :\\\\ 1 \ cans -\$3,25 \\\\8 \ cans -\$\ x \\\\ x=\dfrac{13}{4} \cdot 8=\$26 \Rightarrow yes \\\\ \rm \boldsymbol { \rm Answer: \ 8 \ cans \ of \ energy \ \ costs \ \exactly \ 26\$}[/tex]
BRainliest plus 50 points
Determine whether the lines AB and CD would be parallel, perpendicular, or neither?
A(-5,3) and B(-5, 7)
What is the slope of AB?
C(1, 9) and D(-10, 9)
What is the slope of CD?
What are the lines? (parallel, perpendicular or neither)
Answer:
Perpendicular
slope Ab = undefined
slope Cd = 0
Step-by-step explanation:
slope AB = undefined, a vertical line has no slope
slope CD = 0 (a horizontal line has no slope)
Answer:
AB: Undefined
CD: 0
Perpendicular
Step-by-step explanation:
Slope is the change in y over the change in x
(sometimes called "rise over run")
Formula looks like this:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
First let's find the slope of AB
[tex]\frac{7-3}{-5 --5 }[/tex]
[tex]\frac{7-3}{-5 +5 }[/tex]
[tex]\frac{4}{0}[/tex]
Undefined
Then the slope of CD:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
[tex]\frac{9 -9}{-10 - 1 }[/tex]
[tex]\frac{0}{-11 }[/tex]
0
If they are parallel they will have the same slope, perpendicular lines have negative reciprocals as the slope, and neither is neither
Comparing the slope of our lines lead us to know that the two lines are perpendicular because AB is vertically up + down and CD is horizontally right + left
I hope this is correct and helps, have a nice day :D
See attached file for a photo example :)
Which statements for 15.489 are true? Check all that are true. The digit 9 is in the tenths place. The digit 4 is in the tenths place. The digit 9 is in the thousandths place. The digit 8 is in the hundredths place. The digit 8 is in the thousandths place?
Digit 9 -1's place
Digit 4 - 100ths
Digit 8 - 10ths
Answer:
B. The digit 4 is in the tenths place
C. The digit 9 is in the thousandths place
D. The digit 8 is in the hundredths place
Step-by-step explanation:
A. The digit 9 is in the thousandths place
E. The digit 8 is in the hundredths place.
Hope it helped!
Find the missing angle
25 points in it for you plus a thanks, brainliest and 5 star
Answer:
[tex]27.82 \degree[/tex]
Step-by-step explanation:
To find the unknown angle use tan rule
[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]
Let the unknown angle be x
[tex] \tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
how many 3\4 are in 1
Answer:
I don't really understand your question
Step-by-step explanation:
but if I were to guess 0.75 or 1.25
8 A high-speed train travels at a maximum speed of 320 kilometres
per hour (km/h).
Work out the maximum speed of this train in metres per second (m/s).
Give your answer to the nearest whole number.
Answer:
km/hr to m/s = × 5/18
Step-by-step explanation:
320 ×5/18
=89m/s
Find Y
25 POINTS plus BRAINLIEST, THANKS AND 5 STAR
Answer: 5[tex]\sqrt{3\\}[/tex]
Step-by-step explanation:
This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.
Hypotenuse = 2 * the length of the shorter leg
Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.
Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:
y = [tex]\sqrt{3\\}[/tex] * 5
y = 5[tex]\sqrt{3\\}[/tex]
You just had a child. You would like to have $50,000 for her college in 18 years. If the account earns 5% compounded monthly. How much will you need to deposit now to reach your goal? Round to the nearest dollar. (do not round until the very end)
Answer:
Step-by-step explanation:
I=PRT
I=50000000000×5÷100×18
I= 5000000000×0.5×18
I=45,000,000,000
which relations are functions
Answer:
Both relations in the picture are not functions
Step-by-step explanation:
125 pounds decreased by 4%
Answer:
Step-by-step explanation:
It would be 120 because 4% of 125 is 5, so you subtract 5 from 125 to get 120. I am pretty sure that's how you do it.
Answer:
The answer would be 5
Step-by-step explanation:
Percentage decrease =
4% × 125 =
4 ÷ 100 × 125 =
4 × 125 ÷ 100 =
500 ÷ 100 =
5
What is -3.5 divided by 7?
Answer: -0.5
-3.5 / 7 = -.5
The value is -1/2.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
-3.5 ÷ 7
This can be written as a fraction.
= -3.5/7
Remove the decimal point.
= -35/70
Divide both the numerator and denominator with 7.
= -5/10
Divide both the numerator and denominator with 5.
= -1/2
Thus,
The value is -1/2.
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solve this pls. ill give a brainly
Answer:
-3 1/4 + 4 3/4
Step-by-step explanation:
Name the values of A, B, and C when y=900+300x is written in standard form
Answer:
300x - y = -900
Step-by-step explanation:
The values of A, B, and C are 300, -1, and -900 respectively when the standard form of the equation is 300x - y = -900.
What is a standard form of an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The formula for a one-variable linear equation is written as Ax + BY = C, where a and b are constants and x is the variable.
Given equation is y = 900 + 300x, the standard form of the equation can be written as:-
Ax + Bx = C
y = 900 + 300x
Convert the above equation into standard form.
-300x + y = 900
Compare the equation to get A, B, and C.
A = -300
B = 1
C = 900
Therefore, the values of A, B, and C are 300, -1, and -900 respectively when the standard form of the equation is 300x - y = -900.
To know more about the standard form of an equation follow
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PLEASE HELP!! Pleaseee
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given angles are forming alternate interior pair, so :
[tex]4x - 2 = 3x + 6[/tex][tex]4x - 3x = 6 + 2[/tex][tex]x = 8[/tex]hence, value of x = 8°
x/x+2-4/x-2=1
I forgot how to do these types of questions.
Answer:
[tex]\mathrm{No\:Solution}[/tex]
Step-by-step explanation:
[tex]\frac{x}{x}+2-\frac{4}{x}-2=1[/tex]
Step 1: Subtract [tex]2\:-2[/tex] from both sides
[tex]\frac{x}{x}+2-\frac{4}{x}-2-\left(2-2\right)=1-\left(2-2\right)\\\\\frac{x}{x}-\frac{4}{x}=1[/tex]
x over x is 1
[tex]1-\frac{4}{x}=1[/tex]
Step 2: Multiply both sides by [tex]x[/tex]
[tex]1\cdot \:x-\frac{4}{x}x=1\cdot \:x\\\\x-4=x[/tex]
And when you solve for [tex]x-4=x[/tex], the answer is [tex]\mathrm{No\:Solution}[/tex], NOT THERE IS NO SOLUTION.
³√9³ x √30²
I'm so stuck please help me!
Answer:
Step-by-step explanation: