Answer:
Two solutions were found :
x =(6-√40)/2=3-√ 10 = -0.162
x =(6+√40)/2=3+√ 10 = 6.162
Step-by-step explanation:
Trying to factor by splitting the middle term
1.1 Factoring x2-6x-1
The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -6 .
-1 + 1 = 0
The solutions to the equation x² + 6x + 1 = 0 are -0.177 and -5.823.
Given:
quadratic equation x² + 6x + 1 = 0
The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the following formula:
[tex]x = \dfrac{-b \pm \sqrt {(b^2 - 4ac)}}{2a}[/tex]
In our equation, a = 1, b = 6, and c = 1.
Now, let's plug these values into the quadratic formula:
[tex]x = \dfrac{-6 \pm \sqrt {(6^2 - 4(1)(1))}}{2(1)}[/tex]
x = (-6 ± √(36 - 4)) / 2
x = (-6 ± √32) / 2
Now, the two solutions for x:
1. x = (-6 + √32) / 2
= (-6 + 5.66) / 2
= -0.177
2. x = (-6 - √32) / 2
= (-6 - 5.66) / 2
-5.823
So, the solutions are -0.177 and -5.823.
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Which of the following is equal to 7 to 1/4 power?
Answer:
1.63
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Which system of equations is represented by this graph?
Answer: y= 5/3x+3
y= -1/3x-3
Step-by-step explanation:
If you drop the menu I could see the choices
Answer:
y = 2x+3
y = -1/2x-3
Step-by-step explanation:
Hope this helps
Set up an equation to solve for y
Answer:
The red answer choice
Step-by-step explanation:
Since the sine of an angle is the length of the opposite side divided by the length of the hypotenuse:
[tex]\sin 43=\dfrac{y}{25}[/tex]
Therefore, the correct answer is red. Hope this helps!
Answer:
sin 43 = y / 25
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin 43 = y / 25
Multiply each side by 25
25 sin 43 = y
What’s the area of the triangle ??
Answer:
7²
Step-by-step explanation:
3*2=6 6/2=3 6-2=4 4*2=8 8/2=4 4+3=7
Answer:
[tex]6 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 6 \times 2 \\ \frac{12}{2} \\ = 6 {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A circle has 9 times the area of another circle. If the radius of the larger circle is 27 meters, find the radius of the smaller circle.
Answer:
Step-by-step explanation:
Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a
purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each,
Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on
each shirt, what was the original price of each one?
Answer:
$24.50
Step-by-step explanation:
9.10/2=4.55
4.55+19.95=24.50
Answer:
24.5
Step-by-step explanation:
divide 9.10 to get half/2 numbers which is 4.55 then add 4.55 to 19.95 which is 24.5. which means each shirt was $24.5
What is the decimal equivalent of the fraction?
711
0.63⎯⎯⎯⎯
0.63⎯⎯
0.63
0.6⎯⎯3
Answer: It's the first option
Step-by-step explanation:
to the guy above me if you don't know don't answer
HELP PLS!! Which postulate proves that ABC and EDC are congruent?
Pam bought 6.5 pounds of apples for $16.19. If the equation 6.5x = 16.19
models the situation, what does the variable stand for?
pls answer this question 43 points
Answer:
y = -3
Step-by-step explanation:
-3(y-5) = 24
Divide each side by -3
-3(y-5)/-3 = 24/-3
y - 5 = -8
Add 5 to each side
y-5+5 = -8+5
y = -3
Answer:
y= -3
Step-by-step explanation:
-3(y-5)= 24
Do distributive property so, -3y + 15= 24
Subtract 15 from both sides so, -3y + 15 - 15= 24 - 15
Divide -3 from both sides to leave y on one side so, -3/-3y= 9/-3
The answer would be y= -3.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
If the area of triangle ABD is 12 square units, what is the area of Rectangle ABCD?
Which equation is represented by the graph below?
On a coordinate plane, a curve approaches y = negative 4 in quadrant 3 and then increases exponentially in quadrant 1. It crosses the y-axis at (0, negative 3).
Answer:
y = e^x - 4
Step-by-step explanation:
The missing options are
y = ln x - 3
y = ln x - 4
y = e^x - 3
y = e^x - 4
The function is defined in quadrant 3 and increases exponentially, then it is not a logarithm.
f(x) crosses the y-axis at (0, -3). Replacing x = 0 the last option, we get:
y = e^0 - 4 = 1 - 4 = -3
Answer:
y = e^x - 4
Step-by-step explanation:
Edge2020
The length of a rectangle is 1 less than twice the width. Write the equation that could represent the area of the rectangle in terms of the width
Answer:
(W2-1)xW
Step-by-step explanation:
The beginning of the equation represents the length as the question states it is one less than twice the width. Because you need to multiply width and length to get area, you place the length equation and parentheses and multiply the answer to the equation by the width :) Hope this helps!
Based on the problem statement, we have a word problem before us, that is solving for the area of a rectangle with given sides.
Area = 2y^2-y
Given data
Let the Length of the rectangle be x
and let the width be y
From the statement "The length of a rectangle is 1 less than twice the width"
the length can we re-written as
x = 2y-1
We know that the area of a rectangle is
Area = Length*Width
Area = (2y-1 )* y
Area = 2y^2-y
hence the expression for the area is given as 2y^2-y
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Learn more about area of rectangle here:
The cost of a New York Yankee baseball cop is $24,00. The local sporting goods store
mark op rate is 25%. What does the store charge for the baseball cap?
Answer:
$30
Step-by-step explanation:
30,00 this is extrz words bc brainly doesnt work well
What is the difference?
-6-(11)
1-17
-5
O 5
017
Answer:
-17
Step-by-step explanation:
Hey!!!!
Here's your answer:
-6-(11)
= -6-11
=-17
So the right answer is -17.
Hope it helps...
Which of the following points are NOT solutions to the equation? (Select all that apply.) y=5x−7
(1, -2)
(1, 2)
(0, 1)
(0, -7)
(-1, -2)
(3, 8)
Answer:
(1, 2) (0, 1) (-1, -2)
Step-by-step explanation:
(1, 2) 2 = 5 - 7 = - 2
(0, 1) 1 = 0 - 7 = - 7
(-1, -2) - 2 = - 5 - 7 = - 12
Jessie rode his bike for 13 hours last month. He rode 7 hours the first week of
the month. He rode the same number of hours each week for the remaining 3
weeks. Which equation or inequality best represents the number of hours. h.
Jesse rode per week for the last three?
Answer:
13=7+3h
Step-by-step explanation:
13 is all together, 7 for first week, and the other 3 have the same amount.
so you can say 13= 7 for the first week+ 3 of the same amount of hour which can be written as 3h.
The scale on a map is 1 inch = 2 1/2 miles. If two landmarks on the map
are 1 3/4inches apart, what is the actual distance between them?
Suppose the shipping company were packing balls with a diameter of 2 inches instead of cubes. Would the large box hold more balls or fewer balls than boxes? Explain your answer.
________________________________________________________________________________________
Answer: probably more
Which fractions are equivalent to the fraction 7/9
Answer:
14/18, 35/45
Step-by-step explanation:
Answer:
14/18 and 35/45
Step-by-step explanation:
multiply the numerator and denominator by the same number for it to be equivalent. hope this helped!
Two people swing a jump rope. The highest point in the middle of the jump rope is 76 inches above the ground, and the lowest point is 4 inches. The rope makes 4 revolutions per second. Write a model for the height of the rope in inches as a function of time in seconds given that the rope starts at its lowest point.
Answer:
h(t) = 36sin(1440x)+ 40
Step-by-step explanation:
Given the information:
highest point: 76 inches=>lowest point: 4 inches => 4 revolutions per second => period: [tex]\frac{1}{4}[/tex] per second = [tex]\frac{360}{\frac{1}{4} } =1440[/tex]y = a sin (bx+c) + k for different values of a, b, and c
=> Amplitude (a) = (highest point - lowest point) / 2 = 36
=> asymptom (k) = (highest point - lowest point) / 2 = 40
=> model for the height of the rope in inches as a function of time in seconds given that the rope starts at its lowest point is:
h(t) = 36sin(1440x)+ 40
Hope it will find you well.
Answer:
See image below
Step-by-step explanation:
What is the volume of the cylinder below?
15
12
A. 2160 units 3
B. 56072 units3
C. 1080 units 3
D. 360 units 3
hello,
here is your answer:
**********
volume of cylinder = [tex]\pi[/tex]r²h
radius = 12 units
height = 15 units
volume = r² × h × [tex]\pi[/tex]
= 12² × 15 × [tex]\pi[/tex]
= 144 × 15 × [tex]\pi[/tex]
= 2160 × [tex]\pi[/tex]
ans = A. 2160[tex]\pi[/tex] units³
**********
hope this helped,
:)
The volume of cylinder is 2160 [tex]units^{3}[/tex].
What is volume?Volume is the measure of the capacity that an object holds.
What is the formula for the volume of cylinder?The formula for the volume of cylinder is
[tex]v = \pi r^{2}h[/tex]
Where,
V is the volume of cylinder.
r is the radius of cylinder.
h is the height of cylinder.
π = 3.14
According to the given question
Height of the cylinder, h = 15 units
Radius of the cylinder, r = 12 units
Therefore, the volume of the cylinder is given by
[tex]v = \pi (12)^{2}(15)[/tex]
v = π × 144 × 15
V = 2160π [tex]units^{3}[/tex]
Hence, the volume of cylinder is 2160 [tex]units^{3}[/tex].
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x^2+11x+18=
please help me
Answer:
x = 9
x = 2
Step-by-step explanation:
Find the length of
YZ XY = 8 and XZ = 21.
A.
13
B.
18
C.
21
D.
29
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. 13
Step-by-step explanation:
YZ + XY = XZ
YZ = XZ - XY = 21 - 8 = 13 units
I NEED HELP ASAP Which list shows the
values in order from least to greatest?
Answer:
the 1st one
-5, -3, 3, 5.
what is 7 1/2 of 10 as a percent
Answer:
75%
Step-by-step explanation:
10 * x = 7.5
x = 7.5/10
x = 0.75
x = 75%
kennys weight is 6/7 times melvins weigh what is the ratio of kennys weight to melvints weight give your answer in fraction form
Answer:
she ways alot sorry to say
(4 + 2) • 3 – (6² + 2)
Answer:
-20 is the solution by simplification
Step-by-step explanation:
(6) *3 - (38)
18 - 38
-20
Answer:
-46
Step-by-step explanation:
(4 + 2) • 3 – (6² + 2)
6* 3- 38
18 - 38
= -20
**I made a mistake and this is very much wrong.**
**corrected mistake**
Evaluate f(x)=x+3for f(-2)
Answer:
f(-2) = 1.
Step-by-step explanation:
If we are solving for f(-2), we will simply need to substitute in '-2' for 'x'. This gives us:
f(-2) = -2 + 3
f(-2) = 1.
Evaluate f(x) = x + 3 for f(-2)
Given: x = -2
Plug in -2 for x in the equation:
f(x) = x + 3
f(-2) = (-2) + 3
f(-2) = 3 - 2
f(-2) = 1
f(-2) = 1
1 is your answer.
~
Find the distance between the points (15, -11) and (15, -19).
Answer: 8
Step-by-step explanation:
Distance formula: square root x2-x1 squared + y2-y1 squared.
15-15=0
0 squared=0
-19- -11= -8
-8 squared=64
Square root 64= 8
Answer:
8 units
Step-by-step explanation:
the easiest way to work out the distance for these two points is to plot them on a linear graph. as they are in line (because they're both inline with 15 on the x-axis), you just have to count the numbers between -11 and -19. in this case there are 8 units between the two points.
I hope this was helpful :-)