Answer:6.6 x 101
Step-by-step explanation:
A rectangle has a length of x and a width that is 8 units shorter than twice the length.
a. Draw a picture to represent the box.
b. Write a simplified polynomial to represent the area of the rectangle.
c. What would the area be if = 10 ?
Step-by-step explanation:
length = x
width = 2x-8
b.) to get the area you need to multiply the length and the width.
l×w= area
x(2x-8)
2x^2-8x
c.) 2x^2-8x = 10
subtract 10 both sides
2x^2-8x-10 = 0
2(x^2-4x-5) = 0
2(x-5)(x+1) = 0
x = 5
the area would be 10.
In the diagram, AC is a diameter of the circle with center O. If m_ACB = 50°, what is m_BAC?
Answer: Your answer 40°
Step-by-step explanation:
Hope this helped!
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Find the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9
a.6.7
b.6.73
c.6.71
d.6.72
The distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The distance between the two straight parallel lines can be found by finding the difference between the y-intercept of the two lines. Therefore, for the two of the given equation, the value of the y-intercept can be written as,
Y-intercept of -4x + 7y + 9 = 0
-4x + 7y + 9 = 0
7y = 4x - 9
y = (4x - 9)/7
y = 4x/7 - 9/7
y-intercept = -9/7
Y-intercept of y = 4/7x - 9
y = 4/7x - 9
y-intercept = -9
Now, the difference distance between the two lines will be,
Distance = Difference between the y-intercept
= -9 - (-9/7)
= -9 + 1.2857
= 7.71
Hence, the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.
Learn more about Equation of Line:
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(17.7) x (11.4)
Show the work that helped you solve it please
what is the answer to this equation using the quadratic formula? 3x^2+2x+4x=0
Answer: No real number solutions
The complex number solutions are [tex]x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
=======================================================
Explanation:
The given equation 3x^2+2x+4 = 0 is in the form ax^2 + bx + c = 0
We have
a = 3b = 2c = 4Let's compute the discriminant.
d = b^2 - 4ac
d = (2)^2-4(3)(4)
d = -44
The result is negative, so there are no real number solutions.
----------------
If you wanted to find the complex valued solutions, then we apply the quadratic formula.
Plug in a = 3, b = 2, c = 4
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(3)(4)}}{2(3)}\\\\x = \frac{-2\pm\sqrt{-44}}{6}\\\\x = \frac{-2\pm\sqrt{-1*4*11}}{6}\\\\x = \frac{-2\pm\sqrt{-1}*\sqrt{4}*\sqrt{11}}{6}\\\\[/tex]
[tex]x = \frac{-2\pm i*2*\sqrt{11}}{6}\\\\x = \frac{-2\pm2i\sqrt{11}}{6}\\\\x = \frac{2(-1\pm i\sqrt{11})}{6}\\\\x = \frac{-1\pm i\sqrt{11}}{3}\\\\x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]
Notice in step 3 we have -44 under the square root. The negative value in the square root leads directly to the imaginary number [tex]i = \sqrt{-1}[/tex]
Though the term "imaginary" is a bit unfair and misleading because numbers like -22 are just as imaginary and made up by humans. It just depends on context in which imaginary numbers are useful (eg: with physics or engineering).
2
Think: A student attempted to solve the equation below by Pair/Share: Do you agree or
completing the square.
disagree with the steps taken so
far? Explain.
x²- 2x-1=2
+1+1
because ...
x ²-2x=3
XP-2x +1 = 3+1
*²-2x + 1 = 4
(X+1}=4
b = 2
half:-1
Square: 1
Answer:
Step-by-step explanation:
Here is how to solve it using factoring:
x^2 - 2x - 1 = 2
x^2 - 2x - 3 = 0
(x + 1)(x - 3) = 0
x = -1, 3.
Answer:
your process is not correct
(x^2-2x+1 = 3+1)
you were wrong here
Step-by-step explanation:
I am not good in english so it is hard for me to explain...
Please help!!!!!! Hurry i only have 10 mins ill give brainy
Which operation should be used to solve LaTeX: \frac{x}{3} = 15x3=15 ?
Group of answer choices
+ 3
÷ 3
x 3
– 3
Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 12 strawberries, how many grapes will she use?
Answer:
24
Step-by-step explanation:
12/2=6
6*4=24
Answer:
Beth will use 24 grapes.
Step-by-step explanation:
Not going to lie I forgot how i got my answer but ik its good.
write the equation in slope-intercept form.
Answer:
y = 2x - 3Step-by-step explanation:
Given line:
y = - 1/2x - 1We need to find a line that is perpendicular to the given line and passes through the pint (6, 9)
We know perpendicular lines have opposite-reciprocal slopes.
The slope of the line is:
(-1) / (- 1/2) = 1 *2 = 2Use point-slope form to find the line:
y - 9 = 2(x - 6)Convert the equation into slope-intercept form:
y - 9 = 2x - 12y = 2x - 12 + 9y = 2x - 3Need Help! 50 points!!
Answer:
see below
Step-by-step explanation:
eq.1 2a - b + 2c = -8
eq.2 5b - 3c = 21
eq.3 -7a -10c = -2
3 equations, 3 unknown.
first step is to eliminate b using eq1 and eq2
2a - b + 2c = -8 (5)
5b - 3c = 21
10a - 5b + 10c = -40
5b - 3c = 21
10a + 7c = -21 ------------eq. A
lets solve a using eq. A
10a + 7c = -21
a = (-7c - 21) / 10
now substitute a into eq.3
-7a -10c = -2
-7(-7c - 21) -10c = -2 distribute
10
4.9c + 14.7 - 10c = -2 add similar terms
-5.1c = -2 - 14.7 simplify
c = -16.7 / -5.1
c ≈ 3
solve b using eq. 2 and substitute c.
5b - 3c = 21
5b = 21 + 3c
5b = 21 + 3(3.2)
b = 30.825 / 5
b ≈ 6
solve a using eq. A
10a + 7c = -21
10a + 7(3.2) = -21
10a = -21 - 22.4
a = -43.4 / 10
a ≈ -4
therefore, the statement (-4, 6, 3) is correct.Answer:
a
Step-by-step explanation:
The sides of a triangle are represented by (3s - 1), (2s + 5), and (s + 4).
1.)Find the expression for the perimeter of the triangle.
2.) What will be the perimeter if s = 7?
Answer:
1) 6s + 8
2) 50
Step-by-step explanation:
1)
To find the perimeter, add the lengths of the sides.
perimeter = 3s - 1 + 2s + 5 + s + 4
perimeter = 6s + 8
2)
Replace s with 7 in the perimeter expression.
perimeter = 6(7) + 8
perimeter = 42 + 8
perimeter = 50
Answer: 6s+8
Step-by-step explanation:
just did the assignment
plsssss help no one is helping me
Answer:
x=-3
Step-by-step explanation:
there are three x's and five one's so the equation is 3x+5
on the other side there are 2 negative x's and 10 negative one's so the equation is -2x-10
set them equal to each other
3x+5=-2x-10
5x=-15
x=-3
Answer:
hey how old are you
Step-by-step explanation:
jnedjed
5/12 x 2/5???
CAN SOMEONE PLEASE ANSWER
20 Point Reward!!!!
Answer:
1/6
Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.
Final answer:
1/6
hellpppppppppppppppp 43points
Answer:
a) 4x
b) 2 + 4y
Step-by-step explanation:
a) 7x - 6x + 3x
To do this, we just need to collect the terms together. They are all coefficients of x, so all we need to do is add the number together.
7 - 6 + 3 = 4
7x - 6x + 3x = 4x
b) 2(1 + 2y)
Here we need to expand the brackets. 2 is shown to be multiplied by 1 +2y:
2(1 + 2y)
= 2*1 + 2*2y
= 2 + 4y
I hope this helps :)
How many is this
2( 9 - 7r ) + 8r
solving steps:
2( 9 - 7r ) + 8r
2(9) - 2(7r) + 8r
18 - 14r + 8r
18 - 6r
Answer:
18 - 6r
Step-by-step explanation:
2(9 - 7r) + 8r
Expand the brackets:
⇒ 2 · 9 - 2 · 7r + 8r
⇒ 18 - 14r + 8r
Combine like terms:
⇒ 18 - 6r
if 11 is subratecet from 4 times a number the result is 89 find the number
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
4x-11=89
4x=89+11
4x=100
x= 25
I hope this will help
Which shows the correct placement of the decimal point in the product?
52.1
× 3.4
1771.4
177.14
17.714
1.7714
i will crown to correct answer pls and ty
Answer:
b.177.14
Step-by-step explanation:
because 52.1x 3.4 = 177.14
What is the simplified version of [tex]\frac{x^5x^6}{y^6}[/tex]
What do you call the point where a perpendicular bisector crosses another line?
Answer:
If AB crosses at a right angle, it is called the "perpendicular bisector" of PQ. If it crosses at any other angle it is simply called a bisector. Drag the points A or B and see both types. For obvious reasons, the point F is called the midpoint of the line PQ. See also Angle bisector.
What is the measure of the indicated angle?
Answer:
Interior measure of triangle always equal up to 180°.
65+90+? = 180
155+? = 180
? = 180-155
? = 25
Which of the following is equal to -11?
0-6-(-5)
0-5+-6
0-5+6
(1, 0) is an ordered pair of the function f(x) = 1 + x. True False
edjfrjenfmdkefehnjfn3mfrjfnrjnfmrmfkrnfj
it is false
∠ R and∠ S are complementary. If m ∠ R = 12x - 3 and m ∠ S = 7x - 2, find m ∠ R.
m ∠ R = (blank)degrees
Step-by-step explanation:
Sum of two complementary angle is 90°so. <R+<S =90°12x-3+7x-2=90°19x-5=90°19x=95°X= 5<R= 60-3=57°Find the common difference of the
arithmetic sequence -6, -13, -20, ...
Answer:
-7
Step-by-step explanation:
abc is isosceles triangle above is ac=20 and bc=3x-7 what is x
Answer:
x = 9
Step-by-step explanation:
Isosceles means that the two sides equal each other
As such, to find the value of x we must equal the two expressions together and isolate the variable
20 = 3x - 7
add 7 to both sides
27 = 3x
divide both sides by 3
9 = x
Answer:
The variable x equals 9.
Step-by-step explanation:
3x - 7 = 20
3x = 27
X = 9
what is the equation of a line that is parallel to x + 3y =12 and goes through (6,-3) in slope intercept form
Answer: -1/3 x -1
Step-by-step explanation:
By doing some stuff, you get the slope of the first line as -1/3. Set up -1/3 x +b and you plug in the coordinates. That makes b= -1. Hope it helps :)
A train travels at a rate of (4x + 5) miles per hour. How many miles can it travel at that rate in
(x - 1) hours? Express your answer as a polynomial.
(4x+5) miles..........1 hour
x miles .........(x-1) hour
(4x+5) * (x-1) = 1 * x
in (x - 1)h = x / (4x+5) miles
A G.P. Bulk bills at $41.20 per consultation, and sees a new patient every 15 minutes for 3 hours. A new employee calculates the number of patients and then calculates the Medicare bill as follows: Number of patients: 3 ÷ 0.15 = 20 Medicare bill: 20 × $41.20 = $ 824
Given that,
A G.P. Bulk bills at $41.20 per consultation, and sees a new patient every 15 minutes for 3 hours.
Solution,
3 hours means 180 minutes
It means that he sees a new patient every 15 minutes for 180 minutes.
No of patients = [tex]\dfrac{180}{15}=12[/tex]
Fees for per consultation is $41.20. Total bill will be :
Bill = $41.20×12
= $494.4
He has not converted 3 hours to minutes. It is the error made by the new employee. He get wrong Medicare bill for the patients.
recursive formula for 0.15, 0.17, 0.19, 0.21, 0.23
Answer:
An = a1 + (n-1) d
Step-by-step explanation:
Order from least to greatest.