Step-by-step explanation:
width = x
length= 3x
Area = length * width
243=3x * x
3÷243 =3x^2÷3
√81=√x^2
x=9
3x=3*9=27
Width=9
Length=27
Select the correct answer.
Sharl started to use the grouping method to factor the expression x2 + 5x - 84 as shown.
x2 + 5x - 84
x2 + 12x - 7x - 84
Which expression could be the next step in completely factoring the expression?
OA. x(x+12) - 7(x+12)
B. (x-12)+7(x - 12)
OC. (x + 12 - 7) - 84
OD. x + 12x + 7(x - 12)
Answer:
A.[tex]x(x+12) -7(x+12)[/tex]
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
[tex]x^2 +5x - 84[/tex]
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
[tex]x^2 +12x - 7x - 84[/tex]
Now take out the common factors,
[tex]x(x+12) -7(x+12)[/tex]
Thus, the correct option is choice (A).
Which equation represents a line passing through the point (8, 9) with a slope of 3?
A) y = 3x - 15
B) y = 3x - 8
C) y = 3x + 33
D) y = 3x + 9
Answer:
a
Step-by-step explanation:
basically the number with x is always the slope and I really just put the equations into a inspire and got the answer by which one matched
The equation of line passing through the point (8, 9) with a slope of 3
will be;
⇒ y = 3x - 15
Option A is true.
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The slope of the line = 3
And, The point on the line = (8, 9)
Now,
Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Hence, The equation of line passing through the points (8, 9) with slope '3' is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - 9 = 3 (x - 8)
⇒ y - 9 = 3x - 24
⇒ y = 3x - 24 + 9
⇒ y = 3x - 15
Thus, The equation of line passing through the point (8, 9) with a slope of 3 will be;
⇒ y = 3x - 15
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9-3*1/3*98=
6-*87/8+85647-552=
254+968*8
Answer:
don't you have a calculator? just use that
In triangle PQR, find the measure of angle P .
Answer:
P=0.94619355852°
Step-by-step explanation:
Use cos:
cosA=adjacent/hypotenuse
cosP=33.8/57.8
P=arccos(0.5847750865)
P=0.94619355852°
Answer:
54.1
Step-by-step explanation:
If you put the reverse cos sign and divide 33.8 by 57.6 you get 54.069…
that’s the answer. In the calculator it should look like this (check attached image)
Please help me.
how many observations are in this data set?
Answer:
16
Step-by-step explanation:
count the dots. each is one observation
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Given the figure below with m
HELP ASAP. I’LL MARK YOU BRAINLIEST!!
Answer:
c
Step-by-step explanation:
9514 1404 393
Answer:
C 83°
Step-by-step explanation:
The measure of inscribed angle BDA is half the measure of the arc it intercepts.
∠BDA = (1/2)arcBFA = (1/2)(166°)
∠BDA = 83°
What's the exact value of tan 15°?
O A) 2 + √3
B) 1
OC2
C) 2 - V3
OD) 1 + v3
Please Help!!!!
Answer:
C
Step-by-step explanation:
Split
15
into two angles where the values of the six trigonometric functions are known.
The result can be shown in multiple forms.
Exact Form:
2−√3
The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
What is mean by Function?
A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find the exact value of tan 15°.
Now, We can formulate;
tan 15° = tan (45 - 30)°
= tan 45° - tan30° / (1 + tan45° tan30°)
= (1 - √3) / (1 + √3)
= (1 - √3) (1 - √3) / (1 + √3) (1 - √3)
= (1 + 3 - 2√3) / (1² - √3²)
= (4 - 2√3) / (1 - 3)
= 2 (2 - √3) / - 2
= - (2 - √3)
Thus, The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
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Round off 123,546,789 to the indicated degree of precision:
6. to the nearest hundred
7. to the nearest thousand
8. to the nearest ten thousand
9. to the nearest million
10. to the nearest ten million
Answer:
Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.
...
Additional Resources
Round the number 227.18 to the nearest ten.
Round the number 856.861203 to the nearest thousandth.
Round the number 599.495 to the nearest tenth.
3(3 - 4n) + 6n < -2n + 5
Answer:
1 < n
Step-by-step explanation:
3(3 - 4n) + 6n < -2n + 5
9 - 12n + 6n < -2n + 5
9 - 6n < -2n + 5
9 < 4n + 5
4 < 4n
1 < n
I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.
Tony weighs his pet turtle on a scale in his bathroom. The turtle weighs 6 1/4 pounds. His turtle weighed 3 1/6 pounds when he first got him. About how much more does his turtle weigh now?
Simplify: 90 - 5 (19 + 17-1-26)
Answer:
QUESTION:
Simplify: 90 - 5 (19 + 17-1-26)
ANSWER:
45
Step-by-step explanation:
I hope that this helps you out! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you out.
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
Will give BRAINLEST :)
Answer:
A
Step-by-step explanation:
This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.
g + t + k = 90
g + 2t - k = 55
-g - t + 3k = 30
Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.
g + t + k = 90
-g - t + 3k = 30
____________
0 + 0 + 4k = 120
4k = 120
k = 30
No you can plug this into the first two equations
g + t + (30) = 90
g + t = 60
and
g + 2t - (30) = 55
g + 2t = 85
now use elimination again by multiplying the first equation by -1
g + 2t = 85
-g - t = -60
_________
0 + t = 25
t = 25
Now plug those both back into one of the equations. I'll just do the first one.
g + (25) + (30) = 90
g = 35
Therefore, we know that Ted spent the least amount of time on the computer.
The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.
i’m so confused now helpppppppppp!!!!
An exterior angle is equal to the sum of the two opposite interior angles.
X = 125 + 30
X = 155
Answer:
26 put me brinliest pleae!!
Step-by-step explanation:
Where is the central tendency located in a skewed left distribution?
to the left of the tallest bar
to the right of the smallest bar
to the left of the smallest bar
in the center of the graph
to the right of the tallest bar
The Central tendency is typically located to the right of the tallest bar.
In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.
The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.
In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.
On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.
The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.
To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.
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Determine whether each equation is true or false.
Answer:
1. False
2. True
3. False
Your recipe for muffins says you have to 3 times as many blueberries than strawberries. Write an expression for the situation. Next, explain how you know your expression matches the situation.
Answer:
n × 3 = (answer)
Step-by-step explanation:
If you need 3 times as many blueberries than strawberries for the recipe, then multiplying the number of strawberries you have by three will get you the number of blueberries that you need.
Can someone answer this please
Answer:
(a) 12
Step-by-step explanation:
The integral over the reverse range is the opposite of the integral over the forward range. The integral over adjoining ranges is the integral over the whole range.
Application[tex]\displaystyle \int_{-1}^5{f(x)}\,dx=\int_{-1}^1{f(x)}\,dx+\int_{1}^5{f(x)}\,dx\\\\=\int_{-1}^1{f(x)}\,dx-\int_{5}^1{f(x)}\,dx=5-1=4[/tex]
Then 3 times the integral is ...
[tex]\displaystyle 3\int_{-1}^5{f(x)}\,dx=3(4)=\boxed{12}[/tex]
Use the following information. (pls hurry)
SPORTS In a football game, each team earns 6 points for each touchdown it scores.
Write an equation to find y, the total number of points for scoring x touchdowns.
Which graphs of ordered pairs represent functions?
Answer:
I thin its b.
Step-by-step explanation:
Is that the answer please help no links no links please help
Answer:
360
Step-by-step explanation:
V= L•W•H/3
10×12×9÷3
In a scale drawing, Matt's dining room measures 6 inches long by 4 inches wide. The actual length of the dining room is 12 feet. What is the actual width of the dining room?
Answer:
8
Step-by-step explanation:
make a ratio
length of scale/width of scale=length of real/width of real
6/4=12/x
x=8
Hope that helps :)
What is the area of the triangle? 13 5 12
Answer:29
Step-by-step explanation:
3
To create privacy during testing, a window that measures 3.55 m by 2.28 m needs to be covered. All you have is sheets of paper which measure 21.6 cm by 28 cm. How many sheets of paper will it take to cover the window? answer rlly quick plzz
Answer:
2 sheets, or at least 1.34.
Step-by-step explanation:
What we need to do, is figure out the exact area of the window, and the area of the paper sheets. Then, we must convert meters to centimeters, in order to be correct.
Consider R to be the total area of the window.
Consider A to be the area of each sheet of paper.
3.55m * 2.28m = R
8.094m = R
21.6cm * 28cm = A
604.8cm = A
Now, we should convert meters to centimeters.
8.094m = 809.4cm
Then we'd divide to find out how much paper will be required
809.4 ÷604.8 = ≈ 1.34
So, they'll need want to have at least 1.34 sheets of paper, which isn't too unrealistic, but if we're looking for whole sheets, then they will need 2 sheets of paper.
Have a nice day, fam. Spread The Love.
Write the slope-intercept form of the line given point and slope. ( show work if possible please)
through: (-2,-5), slope = 5
Answer:
y=5x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=5(x-(-2))
y+5=5(x+2)
y=5x+10-5
y=5x+5
Where does the graph of cosine begin?
Answer:
Step-by-step explanation:
Cosine starts at 1 and then goes down till 180 degrees and then goes up again..
Hope this helps..
In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?
Answer:
Step-by-step explanation:
(a) What proportion of 18- to 34-year-old respondents are more likely to buy when made in their country? What proportion of 35- to 44-year-old respondents are more likely to buy when made in their country?
The proportion of 18- to 34-year-old respondents is
0.66
The proportion of 35- to 44-year-old respondents is
0.56
(b) What age group has the greatest proportion who are more likely to buy when made in their country?
18-34 yrs
(c) Which age group has a majority of respondents who are less likely to buy when made in their country?
55+
(d) What is the apparent association between age and likelihood to buy when made in their country?
As age decreases, the likelihood to buy homegrown increases
A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
a 90° clockwise rotation
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are no words to explain sorry!