I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?
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Answer: The answer is 10 feet of cable.
Related Questions
Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.
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The system of equations is consistent and dependent and it can be determined by using the properties of the equation.
Given that,
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
We have to determine,
The system of equations is consistent and independent, consistent and dependent, or inconsistent.
According to the question,
When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
On adding both the equation,
[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]
Substitute y = 0 to evaluate the value of x.
[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]
The solution of the equation is (1, 0).
Hence, The system of equations is consistent and dependent.
To know more about the System of equations click the link given below.
https://brainly.com/question/12895249
help!!!!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
10
10
(7.-2)
10
6
09
(-3,-8)
10
-10
Answers
This is equivalent to 0.6 in decimal form
=====================================================
Explanation:
To find the slope, divide the rise over run
rise = change in y = how far to move up or downrun = change in x = how far to move to the rightIn this case, we have:
rise = 6run = 10Therefore,
slope = rise/run = 6/10 = 3/5 = 0.6
The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,
m = (- 8 + 2) / (- 3 - 7)
m = 6 / 10
m = 3/5
The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ7
(ANSWER QUICK!!!) Put the following values in order from least
to greatest.
20, 2-2, (-2)2, -22
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Answer:
-22,(-2)2,2-2,20
Step-by-step explanation:
(-2)2=-4
2-2=0
-22,-4,0,20
Answer:
-22,(-2)2,2-2,-20
Step-by-step explanation:
Jack is 3 times as old as Lisa. If their ages together is 24, how old are they both?
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anyone can have few minutes to help!!
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Answer:
i am not sure
Step-by-step explanation:
Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4
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Answer:
1Step-by-step explanation:
5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1or
5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1A straight line passes through points (-1, 5) and (2, -4). What is the law of the function represented by this line?
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Answer:
y = -3x+2
Step-by-step explanation:
See attachment.
Find the slope:
Rise = (-4 - 5) = -9
Run = (2 - (-1)) = 3
Slope(Rise/Run) = -3
Find the y-intercept:
y = mx + b
y = -3x + b
5 = -3*(-1)+b [Use point (-1,5)
b = 2
====
y = -3x + 2
Please someone help, I want to know if I’m correct
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Answer:
Yes youre correct
Step-by-step explanation:
2616.95 rounded to the nearest tenth
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Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her
bank account and deposits $40 a week.
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The week in which Evie would have more money than Weston is the 18th week.
Let this equation represent the amount of money Weston would have in x weeks be: $4000 - $30x
Let this equation represent the amount of money Evie would have in x weeks be: $2800 +$40x
The first step is to determine when they would have the same amount of money:
$4000 - $30x = $2800 +$40x
$4000 - $2800 = $40x + $30x
1200 = $70x
x = 1200 / 70 = 17.14 weeks
After 17 weeks, Evie would have more money than Weston.
Here is the complete question: Weston has $4,000 in his bank account and withdraws $30 a week. Evie has $2,800 in her bank account and deposits $40 a week. When will Evie have more money than Weston (in
weeks)?
A similar question was answered here: https://brainly.com/question/25711114
The slope of a line is −3, and a point on the line is (4,−1).
Question 1
Part A
What is the equation of the line expressed in slope-intercept form?
Answers
Answer:
Y= -3x + 11
Step-by-step explanation:
Y= -3x + 11 (-3x is your slope and 11 is your y intercept)
Helps me please ill give brainliest to the best ! this is supposed to be easy(not for me)
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range: 1-infinity
  I need help on 7 and 8 plssssss
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or
[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~ [tex] \sf - 2 <y \leqslant 7[/tex]or
[tex] \sf x ∈ (-2 , 7][/tex]Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
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The equation of line m, in point-slope form is: y + 3 = 4(x - 1)
Recall:
The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:
[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]
Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)
Learn more about point-slope equation on:
https://brainly.com/question/24907633
QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST
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Answer:
Step-by-step explanation:
Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B
What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).
Answers
HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2
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the answer is B. (x+3) (x-3)
An object oscillates as it moves along the
X-axis. Its displacement varies with time
according to the equation
x = 4 sin(pi t + pi/6)
where t = time in seconds and
x = displacement in meters
What is the displacement between t= 0
and t = 1 second?
Answers
Using it's formula, it is found that the displacement between t= 0 and t = 1 second is of 0 m.
The equation of motion is given by:
[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]
The displacement between t= 0 and t = 1 second is given by:
[tex]d = x(1) - x(0)[/tex]
Hence:
[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]
[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]
Then:
[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]
The displacement is of 0 m.
You can learn more about displacement at https://brainly.com/question/248054
Answer plz:
Show work also
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Answer:
height 10area 240Step-by-step explanation:
The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.
height² + base² = diagonal²
height² +24² = 26²
height² = 676 -576 = 100
height = √100 = 10
__
The area is the product of the base and height.
A = bh
A = (24)(10) = 240
The height is 10 units; the area is 240 square units.
To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.
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I’m not 100% sure
Will mark Brainliest
In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.
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Where the quadratic crosses the x axis are the solutions:
6) x = –5, x = –6
7) x = 0, x = 1
8) x = –6, x = 1
9) x = –4, x = –3
Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee
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Answer:
Charyn's coffee is the dearest.
Difference per pound is $0.96.
Step-by-step explanation:
Price per pound = total price / pounds bought
For Danielle this
is 35 / 6 1/3
= 35 / 19/3
= 35 * 3 / 19
= $5.526.
For Charyn this
is 60 / 9 1/4
= 60 / 37/4
= 60 * 4 / 37
= $6.486.
Difference = $0.96.
A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
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Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
What is -10 5/6 times 8 1/2
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Answer:
92 1/12
Step by step explanation:
92 1/12
Step by step
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.
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Answer:
432 characters
Step-by-step explanation:
There are 36 inches in a yard, so there will be 36 times 12 characters:
(36 in/yd)(12 char/in) = 432 char/yd
432 characters can be expected per yard of text.
What is 6 x 3/6 Draw a model of your choice to help you solve.
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Multiply the numerator of 3/6 with 6
18/6
Then simplify
3
Hope this helps!
Brainliest is much appreciated!
Answer:
3
Step-by-step explanation:
6×3/6 (the / means ÷)
(6×3) ÷6
18 ÷6
=3
2x − 4y = -4 , 3x + 2y = 22 solve the system by elimination.
Answers
Answer: 5, 7/2
Step-by-step explanation:
2x − 4y = -4
3x + 2y = 22
divide both sides of the equation by 2
x − 2y = -2
3x + 2y = 22
Eliminate one variable by adding the equation; sum the equations vertically to eliminate at least one variable
4x=20
Divides both sides by 4
x=5
Substitute the given value of x into the equation 2x-4y = -4
2*5-4y =-4
solve the equation for y
y=7/2
a farm has chickens and cows all the cows have 4 legs and all chickens have 2 legs. altogether there are 82 cow and chicken legs on the farm.complete the table to show some possible combinations of chickens and cows to get 82 total legs.
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mark me brinilylist pls
Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA
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help me with this pls
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Answer:
Yes they both = 125
Step-by-step explanation: