What is the value of the expression below when z=7 and w=4? 4z + w

Answers

Answer 1

Answer: 4(7)+4
Multiply 4 times 7, which gives you 28
Then you add 28+4=32

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85% of what number is 10.2

WILL GIVE BRAINLIESTHannah and Han are each trying to solve the equation x² – 8x + 26 = 0. They know that
x = -1 are i& - i, but they are not sure how to use this information to solve for x in their
equation.
Part 1- Here is Hannah's work:
x? - 8x + 26 = 0
X? – 8x = -26
Show Hannah how
to finish her work using completing the square and complex numbers.
Part 2- Han decides to solve the equation using the quadratic
formula. Here is the beginning of his
work
-b+V62-4ac
-(-8)+7-8)2–401|(26)
Finish using the quadratic formula. Simplify the final answer as much as possible.

Answers

The solutions are:-

$x=4+√(10i)\n\nx=4-√(10i)$

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

$x^2- 8x + 26 = 0\n\nx^2-8x=-26\n\n(x-4)^2=-10\n\n$

$(x-4)=$ ± $√(-10)$

$x=√(10)i+4\n\nx=-√(10)i+4$

So,

$x=(-b+-√(b^2-4ac))/(2a)\n\nx=(8+-√((-8)^2-4(1)(26)))/(2(1))\n\nx=(8+-√((-8)^2-4(1)(26)))/(2(1))\n\nx=(8+-√(64-104))/(2)\n\nx=(8+-2√(10i))/(2)\n\nx=(2(4+-√(10i)))/(2)\n\nx=4+√(10i)\n\nx=4-√(10i)$

Hence, the solutions are:-

$x=4+√(10i)\n\nx=4-√(10i)$

To know more about the equation

brainly.com/question/12788590

#SPJ2

Part one:

$x^2-8x=-26$

Rewrite in the form $(x+a)^(2) =b$

$\left(x-4\right)^2=-10$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=√(a),\:-√(a)$

Solve $x-4=√(-10) : x=√(10) i+4$

Solve $x-4=√(-10) : x=-√(10) i+4$

$x=√(10)i+4,\:x=-√(10)i+4$

Part two:

$x=(-\left(-8\right)\pm √(\left(-8\right)^2-4\cdot \:1\cdot \:26))/(2\cdot \:1)$

Simplify $√(\left(-8\right)^2-4\cdot \:1\cdot \:26)}: 2√(10) i$

$=(-\left(-8\right)\pm \:2√(10)i)/(2\cdot \:1)$

Separate solutions

$x_1=(-\left(-8\right)+2√(10)i)/(2\cdot \:1),\:x_2=(-\left(-8\right)-2√(10)i)/(2\cdot \:1)$

$(-(-8)+2√(10)i )/(2*1) :4+√(10)i$

$(-(-8)+2√(10)i )/(2*1) :4-√(10)i$

$x=4+√(10)i,\:x=4-√(10)i$

PLEASE HELP!!!!!!!!!!!!!!!

Convert 976 cups to gallons.

Answers

Answer:

61 gallons

Step-by-step explanation:

16 cups per gallon: 976 cups/16 cups= 61 gallons

Answer:

61 gallons

Step-by-step explanation:

if you converted 976 cups to gallons, you would have 61 gallons.

P.S. your calculator should have volume calculations on it.

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

Answers

sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

Answer:

Which statements did you include in your answer?

Isolate sin(x) by adding 4 and taking the square root of both sides.

State that sin(x) = 2 or sin(x) = –2.

State that –2 and 2 are undefined values of the inverse sine function.

There are no solutions because –2 and 2 are not in the domain of the function.

Step-by-step explanation:

Simplify 10,000^3/4 using a calculator.

Answers

The answer I get based off of the question is 1000.

Help pls! Will give brainliest!

Answers

To determine which line among AB, BC, and CA is parallel to the line 2y - 3x = 6, we need to find the slopes of these lines and compare them to the slope of the given line.

The slope-intercept form of a line is y = mx + b, where m is the slope.

Given line: 2y - 3x = 6
To convert it into slope-intercept form, isolate y:
2y = 3x + 6
y = (3/2)x + 3

The slope of the given line is (3/2).

Now, let's find the slopes of the lines AB, BC, and CA:

1. Line AB:
Coordinates of A(-5, -12) and B(11, -4)

Slope (m) of AB = (change in y) / (change in x) = (-4 - (-12)) / (11 - (-5)) = 8 / 16 = 1/2

2. Line BC:
Coordinates of B(11, -4) and C(7, 6)

Slope (m) of BC = (change in y) / (change in x) = (6 - (-4)) / (7 - 11) = 10 / (-4) = -5/2

3. Line CA:
Coordinates of C(7, 6) and A(-5, -12)

Slope (m) of CA = (change in y) / (change in x) = (-12 - 6) / (-5 - 7) = -18 / (-12) = 3/2

Now, let's compare the slopes:

- Slope of the given line: 3/2
- Slope of AB: 1/2
- Slope of BC: -5/2
- Slope of CA: 3/2

The line that is parallel to the given line 2y - 3x = 6 is Line CA, as it has the same slope of 3/2.

Answer:

CA.

Step-by-step explanation:

To find the gradient (slope) of the line 2y - 3x = 6, we need to rewrite the equation in slope-intercept form (y = mx + b), where "m" represents the gradient. Here's how:

2y - 3x = 6

First, isolate "y" on one side of the equation:

2y = 3x + 6

Next, divide both sides by 2 to solve for "y":

y = (3/2)x + 3

Now we can see that the gradient (slope) of the line is (3/2).

Now, let's analyze the three lines AB, BC, and CA, formed by the points A(-5, -12), B(11, -4), and C(7, 6).

The gradient (slope) of the line AB can be calculated using the coordinates of points A and B:

Gradient of AB = (Change in y) / (Change in x) = (-4 - (-12)) / (11 - (-5)) = 8 / 16 = 1/2

The gradient (slope) of the line BC can be calculated using the coordinates of points B and C:

Gradient of BC = (Change in y) / (Change in x) = (6 - (-4)) / (7 - 11) = 10 / (-4) = -5/2

The gradient (slope) of the line CA can be calculated using the coordinates of points C and A:

Gradient of CA = (Change in y) / (Change in x) = (-12 - 6) / (-5 - 7) = -18 / (-12) = 3/2

Now, we compare the gradients of the lines AB, BC, and CA to the gradient of the line 2y - 3x = 6 (which is 3/2). We see that the line CA has the same gradient (3/2) as the line 2y - 3x = 6.

So, the line CA is parallel to the line 2y - 3x = 6.

What is the length of a side of a cube with a volume of 2197 ft3?

Answers

Vloume = (Length)^3
so, Length = (2197)^(1/3)
Length = 13 ft

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