Answer:
Just pick one step below I guess...
Step-by-step explanation:
I'll just solve it because I don't know which step you're looking for.
Move everything except for the 7 to one side:
[tex]x^2-12x=-7[/tex]
Now take the square of half of the coefficient for the x and add it to both sides.
[tex]x^2-12x+36=29[/tex]
You can see that the side can now be factored.
[tex](x-6)^2=29[/tex]
[tex]x-6=\sqrt{29}[/tex]
[tex]x=\sqrt{29}-6, x=-\sqrt{29} -6[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
The given equation is:
[tex]x^2=12x-7[/tex]
The equation can be re-written as:
[tex]x^2 - 12x = -7[/tex]
Add [tex]6^2[/tex] to both sides of the equation
[tex]x^2-12x+6^2=-7+6^2\\\\x^2-12x+6^2=-7+36\\\\[/tex]
The expression can be further simplified as:
[tex](x-6)^2=29[/tex]
Take the square root of both sides
[tex]x-6=\pm\sqrt{29} \\\\x=6 \pm\sqrt{29}[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
Learn more on completing the square here: https://brainly.com/question/10449635
Two friends, Terrence and Eric share a certain amount of money in the ratio 5:9. If Terrence gets $56 less than Eric find the total amount of money that is shared between the two boys.
Answer:
239.556
Step-by-step explanation:
Difference of ratio=9-5=4
Sum of ratio=9+5=14
we know that Eric got $56 more
which means
4/14=56
1/14=56/4
1/14=14
1=14*14
=196
now we need to find
9/14=(196*14)/9
= 239.556
What is the simplified form of the expression (x + 6)(7x − 1)
Step-by-step explanation:
[tex](x + 6)(7x - 1) \\ {7x}^{2} - x + 42x - 6 \\ {7x}^{2} + 41x - 6[/tex]
Answer:
7x^2+41x-6
Step-by-step explanation:
(x + 6)(7x − 1)
FOIL
first x*7x = 7x^2
outer: -1x
inner: 6*7x = 42x
last: -6
Add them together
7x^2 -x+42x -6
Combine like terms
7x^2 +41x -6
This is geometry on delta math I have no idea how to do it please help me
Answer:
x = 9
Step-by-step explanation:
We know sum of interior angles of a polygon = [tex](n-2)\times 180[/tex]
For a triangle (having n = 3),
Sum of interior angles = (3 - 2)×180°
= 180°
In ΔVWX,
m∠V = (12x + 19)°
m∠W = (2x + 19)°
m∠X = (x + 7)°
And m∠V + m∠W + m∠X = 180°
(12x + 19)° + (2x + 19)° + (x + 7)° = 180°
(12x + 2x + x) + (19 + 19 + 7) = 180°
15x + 45° = 180°
15x = 180° - 45°
x = [tex]\frac{135}{15}[/tex]
x = 9
Therefore, value of x = 9.
Perform the indicated operation and write the result in a+bi form.
-12i(1/(i-1)^2)
A. 6/i
B. 6i
C. 12
D. undefined
Brainliest if you answer right.
Answer:
6i Or B
Edge^^
FIRST CORRECT ANSWER GETS BRAINLIEST!!! 20 POINTS!!!!!
Answer:
14
Step-by-step explanation:
When you plug this expression into the calc, you should get 14 as your answer.
Answer:
14
Step-by-step explanation:
-3(7+5)
------------ + 9(2)
3^2
PEMDAS
Parentheses first
-3(12)
------------ + 9(2)
3^2
Then exponents
-3(12)
------------ + 9(2)
9
Then multiply the top of the fraction
-36
------------ + 9(2)
9
Complete the fraction
-4 + 9(2)
Finish multiplying
-4+18
14
A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?
Answer:
17% maybe
Step-by-step explanation:
If m = 70° and m = 30°, then m 2 = 20 35 50
Answer:
the answer is 50
The ordered pair below is a solution to which equation?
(40,5)
Answer: C
Step-by-step explanation: Let me know if you need an explanation.
Answer:
Step-by-step explanation:
I pretty sure it c
-Delilah
hope it helps
Moana and Maui are greatly outnumbered by the kakamora, coconut pirates. If there are two hundred and thirty thousand more kakamora than fifty-seven times the both of them, how many kakamora are there?
Answer :35,000
Step-by-step explanation:
I’m not sure if this is correct but I think you just have to multiply the two
Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?
Answer:
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Step-by-step explanation:
Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as
Total volunteer hours required to graduate greater than or equal to 90
Total volunteer hours required to graduate>= 90
No. of hours already volunteered = 52
no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38
No. of hours in one week she can dedicate for volunteering= 3
if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours
then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w
Thus,
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Is the function f(x)= -(4/3)^-6x an exponential function?
Answer:
Yes
Step-by-step explanation:
The function f(x)= -(4/3)^-6x is exponential
Michelle needs to convert the function f(x) = x2 - 10x +31 to vertex form, fx) = (x - 1)2 + k, in order to find the minimum.
When she does this, what is the value of k in the vertex form of function ?
26
56
31
6
Answer:
the answer is 6
Step-by-step explanation:
1. How do you use the distance formula and slope formula to classify a quadrilaterals and triangles
Answer:
Both Distance formula and Slope formula are used to classify quadrilaterals and triangles, as Distance formula is used to calculate the length of each side while Slope formula is used to find the angle of a line with respect to an axis or another line.
We can classify the figure as finding the lengths of each side by using Distance formula. For example, if we find that a quadrilateral has all 4 sides equal, is it a square. If it has opposite sides equal, it can be a rectangle or a parallelogram, and so on. It can also tell whether a triangle is right angled, isosceles or equilateral.
Slope are used to find angles of the lines. If 2 lines have the same slope, it means they are parallel to each other. If the product of their slopes is -1, it means they are perpendicular to each other
Finding surface area (picture provided)
Answer:
A
Step-by-step explanation:
Remember that triangle's area is 1/2 x b x h. But we have 2 congruent triangles so we have 2 x 1/2 x b x h. so the area of 2 triangles is b x h.
You should know the areas of other sides.
5 x 6 + 6 x 12 + 6 x 13 + 5 x 12
Simplify!
30+72+78+60
90+150
240
If a circle has a radius of 7 square root of 2 and it has a shaded region with an area of 34 pi, find the angle within the shaded region.
Answer:
The angle of the shaded region is 124.9°
Step-by-step explanation:
Since there's an region inside the circle that is shaded and has an area of 34 pi square units, we can apply the circle's sector area's formula in order to find the angle of this region. The formula is given by:
[tex]\text{sector area} = \frac{\text{angle}*\pi*r^2}{360}\\[/tex]
Applying the data from the problem gives us:
[tex]34*\pi = \frac{angle*\pi*(7*\sqrt{2})^2}{360}\\34 = \frac{angle*(49*2)}{360}\\98*angle = 34*360\\angle = \frac{12240}{98} = 124.9\°[/tex]
The angle of the shaded region is 124.9°
What is the answer to this question? Please help!
Answer:
B
Step-by-step explanation:
[tex]-3\sqrt{2}+3\sqrt{8}= \\\\-3\sqrt{2}+3\sqrt{2\cdot 2^2}= \\\\-3\sqrt{2}+6\sqrt{2}= \\\\3\sqrt{2}[/tex]
Hope this helps!
The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?
Answer:
x=7
Step-by-step explanation:
9x+20x+16+12x+10+7x-2=360
48x+24=360
48x=360-24
48 x=336
x=336/48=7
Write the slope intercept form through (-1, -1), perp to y= 1/3x -3
Answer:
y = - 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, - 1) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = - 3x - 4 ← equation of perpendicular line
What is the factorization of 2x^2+9x+9
Answer:
(2x+3)*(x+3)
Step-by-step explanation:
The difference of 7y+1 and 4y−12 is subtracted from 10.
Answer:
-3y-3
Step-by-step explanation:
The difference:
7y+1 - (4y−12)= 3y + 13
Subtraction:
10- (3y+13)= -3y-3
The table shows the number of visitors y (in thousands of people) an amusement park has had each year over x years. Use a graphing calculator to find an equation of the line of best fit. Round the slope and y-intercept to the nearest hundredth. Then identify and interpret the correlation coefficient.
Answer:
The equation of the line of best fit is: y = -2.33x + 591.78
The correlation coefficient is: -0.99
There is a strong negative correlation
Step-by-step explanation:
The negative correlation is seen in the sign of the correlation coefficient, which is negative.
The correlation is strong because the absolute value of the correlation coefficient (0.99) is near to one
find the mean of this set of numbers: 19, 19, 9, 11, 13, 20, 19, 10
Step-by-step explanation:
The mean of this number is 16 because when you do the formula it adds up to 16, so the formula to find the mean of the numbers is: Firstly you order the numbers from smallest to largest, Next you add all the numbers together and divide the answer you get with the amount of the numbers you were talking about in the question.
PLEASE HELP ME ON THIS !!!!!!!!!!!!!!!!!
Answer:
I don't know what the answer is but i'm going to try and work it out, hold on one min
Step-by-step explanation:
Darren and Quincy wanted to justify that the expression One-sixth (6 x + 12) minus one-half (4 x + 2) is equivalent to Negative x + 1. Their justifications are shown below. Darren’s Method: Substitute 2 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (2) + 12) minus one-half (4 (2) + 2) = one-sixth (24) minus one-half (10) = negative 1. negative x + 1 = (negative 2) + 1 = negative 1 Quincy’s Method: Substitute 6 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (6) + 12) minus one-half (4 (6) + 2) = one-sixth (48) minus one-half (26) = negative 5. negative x + 1 = (negative 6) + 1 = negative 5 Which explains who is correct? Only Darren is correct because he substituted x = 2 into the expressions. Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions. Both are correct because after substituting the same value into both expressions, the result is the same. Both are correct because after submitting different values into each expression, the result is the same.
Answer:
Both are correct because after substituting the same value into both expressions, the result is the same.
Step-by-step explanation:
Given the expression:
(1/6)*(6*x + 12) - (1/2)*(4*x + 2)
Applying distributive property:
(1/6)*6*x + (1/6)*12 - (1/2)*4*x - (1/2)*2 =
= x + 2 - 2x - 1 =
= -x + 1
Then, for any number substituted into both equations, the result is the same
Answer:
c: Both are correct because after substituting the same value into both expressions, the result is the same.
Step-by-step explanation:
did it on edge 2020
answer pls for brainliest!!
Answer:
45
Step-by-step explanation:
5*3 to the second power
= 5* 3 * 3
= 15*3
= 45
Answer:
5 × 3^2
5 × 3 x 3
5 × 9
45 is your answer
HELP PLEASE!!! What is NOT true about a hypotenuse?
Answer:
The sum of the two leg measures equals the hypotenuse.
Step-by-step explanation:
The answer choice "The measure of the hypotenuse squared is equal to the sum of the side measures squared" is true because it is the Pythagorean Theorem.
The other two answer choices basically describe what a hypotenuse is.
Answer:
The sum of the two leg measures equals the hypotenuse.
What does the point marked on the green line represent?
Answer: x-intercept
The x-intercept is the point where a line crosses the x-axis.
All x-intercepts have a y-coordinate of 0.
As an ordered pair, we can write this as (-19.164, 0).
The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
-3/2
3/2
- 1/2
1/2
Answer:
-3/2,collinear.
Step-by-step explanation:
slope of PQ=(0-3)/(2-0)=-3/2
eq. of line PQ is
y-3=-3/2(x-0)
y-3=-3/2 x
or2y-6=-3x
or 3x+2y=6
if R(4,-3) lies on it,then
3(4)+2(-3)=6
12-6=6
or 6=6
which is true.
Hence points P,Q,R are collinear.
and line has aslope=-3/2
Answer:
-3/2
Step-by-step explanation:
What is the volume of the solid figure below?
28 m3
96 m3
104 m3
128 m3
Answer:
C!
Step-by-step explanation:
I would split the figure into 2 blocks by the dashed line.
Find the dimensions of each block.
The larger block's dimensions are
3 x 4 x 6
The smaller block's dimensions are
4 x 2 x 4
Now find the volumes.
72
32
Add the volumes
104
Answer:
It is C 104 m3
Step-by-step explanation:
I need help with this
Answer:
p, because triangle ABC - triangle EDC
Step-by-step explanation: