Answer:
Isolate the variable by dividing each side by factors that don't contain the variable. Inequality Form:
n < -1
Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
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Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG
Answer:
4+1+4+g=36
g=27
dg=32
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
DE : EF : FG = 4 : 1 : 4
DG = 36
DG = DE + EF + FG
-> 4x + x + 4x = 36
9x = 36
x = 4
so EG = EF + FG
= x + 4x
= 5x
= 20
Tell whether the rates are equivalent.
0.8 kilometer for every 2 minutes
0.2 kilometer for every 0.5 minute
Answer:
Yes.
Step-by-step explanation:
0.5 minutes is 1/4 of 2 minutes.
0.2 is also 1/4 of 0.8
you get what I'm sayin?
Solve the slope for the table.
Answer:
5
Step-by-step explanation:
Change in Y / Change in X = Slope
5/1 = 5
Please help me solve this problem asap!
Dilation and rotation.
parallel perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Line A can be simplified to 1/5x = y.
Line B can be simplified to y = 1/5x + 16.
They both have the same slope, 1/5, so they will be parallel.
Answer:
Parallel
Step-by-step explanation:
Same thing as the last one. Put it in [tex]y=mx+b[/tex]
A: [tex]y=1/5x[/tex]
and
B: [tex]y=1/5x+16[/tex]
These lines are parallel because they have the same slopes, but different y-intercepts.
3/10y - 2/5 i need to find the coefficient and i dont know how
[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]
Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?
Answer:
a1=130;an=an−1+10
Step-by-step explanation:
The answer is the third one.
She starts with 130
a1 = 130
She adds 10 every month.
So you take the number she had last month (represented by a_n-1) and adds 10.
Answer
a1 = 130
an = an_1 + 10
C
Madelyn is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 39.75 meters. She stands 34.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The relationship between her height and the tree's is an illustration of ratios and proportions
The height of the tree is approximately 2.11 meters
Her height is represented as:
[tex]\mathbf{h =1.85}[/tex]
At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:
[tex]\mathbf{D =39.75}[/tex]
[tex]\mathbf{d =34.9}[/tex]
To calculate the height (H) of the tree, we make use of the following equivalent ratios
[tex]\mathbf{H : h =D : d}[/tex]
So, we have:
[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]
Express ratio as fraction
[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]
Multiply both sides by 1.85
[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]
[tex]\mathbf{H=2.11}[/tex]
Hence, the height of the tree is approximately 2.11 meters
Read more about ratios and proportions at:
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if 4 friends have 8 apples how many will each friend get
2 because 8 divided by 4 is 2.
Answer:
2
Step-by-step explanation:
8/4 is 2
With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?
The probability of her NOT drawing a red card are very likely
Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?
b. Can he buy 2 pair of pants and 4 shirts?
c. Show the solution graphically.
Please answer quickly!
A: I do not understand.
B: Yes
C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100
please help and show work
Answer:
When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.
Aspherical model of planet Earth has a radius of 3 ft. What is the approximate volume of the model of planet earth? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Answer:
113.1
Step-by-step explanation:
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-12=24+b how do I solve this
Answer:
b = -9
Step-by-step explanation:
-12 = 24 + 4b [tex]\longmapsto\\[/tex] Subtract 24 from both sides
-12 - 24 = 24 + 4b - 24
-36 = 4b [tex]\longmapsto\\[/tex] Divide all sides by 4
-36 ÷ 4 = 4b ÷ 4
-9 = b
-Chetan K
Answer:
-9 = b
Step-by-step explanation:
-12 = 24 + 4b
-12 - 24 = 4b
[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]
Hope this helps!
PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
The slope of the line of the graph is given by the ratio of the change in y-
coordinates to the change in the x-coordinates of the line.
The statement that is true about the slope of the line is; it is [tex]\dfrac{1}{2}[/tex] throughout
the line.
Reasons:
The given parameter are;
The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)
Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)
Points on the leg of the right triangle = (0, 0) to (4, 0)
Points on the second leg of the right triangle = (4, 0) to (4, 2)
Second right triangle;
Points on the hypotenuse = A(4, 2) to B(6, 3)
One leg of the right triangle extends from (4, 2) to (6, 2)
Second leg extends from (6, 2) to (6, 3)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]
[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]
Therefore;
The slope is [tex]\dfrac{1}{2}[/tex] throughout the line
Learn more here:
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“a fraction f multiplied by 13 equals 29.
Answer:
29/13
Step-by-step explanation:
The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.
Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.
HELPPPPPPPPPPPPPPPPPPPPPPPP PLS
Answer:
formulasfrequency=speed/wavelength
f=250/50
f=50hz
BRAINLIEST
Please help only three questions
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)
Answer:
A. (-5,3)
Honestly, that is pretty much it and uh.Yeah
Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?
Answer:
Justine runs 3 miles a day and Kate runs 6 miles a day.
Step-by-step explanation:
x = number of miles ran in a day
x(7) + (x+3)(7) = 63
7x + 7x + 21 = 63
14x + 21 = 63
14x = 42
x = 3
3 + 3 = 6
Justine runs 3 miles a day and Kate runs 6 miles a day.
A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW
Answer:
IS LINEAR
Step-by-step explanation:
PLEASE HELP ME 20 POINTS
Determine the x- and y-intercepts of the graph of X-4y=8
Answer:
x- intercept = 8 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
x - 4(0) = 8
x - 0 = x
x = 8 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
0 - 4y = 8
- 4y = 8 ( divide both sides by - 4 )
y = - 2 ← y- intercept
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Answer:
68ftStep-by-step explanation:
The formula of a perimeter of a rhombus:
P = 4a
a - length of side
We have a = 17ft
P = 4 · 17ft = 68ft
Please help ….Simplify: V18x7
Answer:
The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1
Step-by-step explanation:
What is the equation to the parallel of 7x-y=8 passing through the point (-2,3)
Answer:
y =7x + 17
Step-by-step explanation:
7x-y=8
y = 7x - 8......convert to slope intercept form
m = 7
parallel lines have the same slope
put in point slope form using the points of the equation of the line that you want to find
y - 3 = 7(x+2)
y -3 = 7x + 14.........distribute
y = 7x +14 + 3.........add 3 to both sides
y = 7x +17................simplify
solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in
Answer:
not clear enough
Step-by-step explanation:
A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?
Answer:
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.
Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term
= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km
Answer:They walked 4 1/3 Km altogether.
Hope it helps.
Do comment if you have any query.
