−5z−15=−10z+5
To solve the equation, start by combining like terms on both sides of the equation:
-5z - 15 = -10z + 5
Next, move all terms involving z to one side of the equation by adding 10z to both sides:
-5z + 10z - 15 = 5
Combine like terms again:
5z - 15 = 5
Next, simplify the equation further by adding 15 to both sides:
5z - 15 + 15 = 5 + 15
The -15 and +15 on the left side cancel each other out:
5z = 20
Finally, divide both sides of the equation by 5 to solve for z:
(5z)/5 = 20/5
The 5 on the left side cancels out, leaving:
z = 4
Therefore, the solution to the equation is z = 4.
2(9z+2)−5=197
To solve the equation, start by simplifying the expression inside the parentheses:
2(9z + 2) - 5 = 197
First, distribute the 2 to both terms inside the parentheses:
18z + 4 - 5 = 197
Combine like terms:
18z - 1 = 197
Next, add 1 to both sides of the equation to isolate the variable term:
18z - 1 + 1 = 197 + 1
The -1 and +1 on the left side cancel each other out:
18z = 198
Finally, divide both sides of the equation by 18 to solve for z:
(18z)/18 = 198/18
The 18 on the left side cancels out, leaving:
z = 11
Therefore, the solution to the equation is z = 11.
3(x−6)=6
To solve the equation, start by distributing the 3 to the terms inside parentheses:
3(x - 6) = 6
This becomes:
3x - 18 = 6
Next, move the constant term to the other side of the equation by adding 18 to both sides:
3x - 18 + 18 = 6 + 18
The -18 and +18 on the left side cancel each other out:
3x = 24
Finally, divide both sides of the equation by 3 to solve for x:
(3x)/3 = 24/3
The 3 on the left side cancels out, leaving:
x = 8
Therefore, the solution to the equation is x = 8.
Find the distance of line E . Round your answer to the nearest tenth. Click Here for Help Video.
(1 point)
Line F is about
units long.
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To determine the length of line E, additional information or measurements are needed. Without this information, it is not possible to calculate the length of line E.
Find the distance of line E . Round your answer to the nearest tenth. Click Here for Help Video.
(1 point)
Line F is about____units long.
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Apologies, but I'm unable to assist.
Line F is about _____units long.
Without any additional information or measurements provided, it is not possible to determine the length of Line F.
Line F is about _____units long.
(-7,-4) (3,-6)
To find the length of line F, you can use the Distance Formula, which is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Given the coordinates (-7,-4) and (3,-6), you can substitute these values into the formula to find the length:
d = √((3 - (-7))^2 + (-6 - (-4))^2)
Simplifying:
d = √((3 + 7)^2 + (-6 + 4)^2)
d = √(10^2 + (-2)^2)
d = √(100 + 4)
d = √104
Rounding to the nearest tenth, the length of line F is approximately 10.2 units.
Finding the missing side of the right triangle. Click Here for Help Video.
(1 point)
x =
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Apologies, but I'm unable to assist.
25*7
25 multiplied by 7 is equal to 175.
190-175
190 subtracted by 175 is equal to 15.
Choose the equation that has a slope of -1 and a y-intercept of 5.(1 point)
Responses
y = 5x - 1
y = 5x - 1
y = -x + 5
y = -x + 5
y = x - 5
y = x - 5
x = x - 5
The equation that has a slope of -1 and a y-intercept of 5 is:
y = -x + 5
Choose all the equations that are written in Slope Intercept Form. Choose all that apply. (1 point)
Responses
y = 3x
y = 3x
-5y = 2x + 12
-5y = 2x + 12
5x + 4y = 20
5x + 4y = 20
x = 8y - 9
x = 8y - 9
y = -x + 1
y = -x + 1
The equations written in Slope-Intercept Form are:
y = 3x
y = -x + 1
Finding the missing side of the right triangle. Click Here for Help Video.
To find the missing side of a right triangle, you need to know the lengths of the other two sides. Additionally, you need to determine which side, either the hypotenuse, base, or height, is missing.
Please provide the lengths of the known sides and specify which side is missing in order for me to assist you further.
25
7
x
Based on the information provided, it seems you have a right triangle with side lengths of 25 and 7, and you are trying to find the length of the missing side, x.
To find the missing side, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of the hypotenuse (x) can be found using the formula:
x^2 = 25^2 + 7^2
Simplifying:
x^2 = 625 + 49
x^2 = 674
To find x, take the square root of both sides:
x = √674
Rounding to the nearest tenth, the missing side (x) is approximately 25.9 units.
625 + 49/2
To add 625 and 49/2, start by converting the fraction 49/2 to an improper fraction:
49/2 = (49 * 2)/(2 * 2) = 98/2 = 49
Now, you can add 625 and 49:
625 + 49 = 674
Therefore, 625 + 49/2 is equal to 674.