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2 years ago

What does it mean to eliminate a variable?

Mathematics

1 answer:

uranmaximum [27]2 years ago

7 0

Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.

So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation. And since x + y = 8, you are adding the same value to each side of the first equation.

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Suppose you drive four miles South and then ten miles East. How far away are you from your starting point?

Aleks04 [339]

Answer:

73920 feet away from your starting point in total.

Convert the miles to feet, then add them together.

3 0

2 years ago

Emelia measures the weight of a rock to be 30 grams. The actual weight of the rock is 24 grams. Determine Emelia's percent error

Shalnov [3]

Answer: 25%

Step-by-step explanation:

Given

Emelia measures the weight of the rock to be 30 gm

The actual weight was 24 gm

Percentage error is given by

$\Rightarrow \dfrac{\text{Deviation }}{\text{Actual value}}\times 100$

Insert the values

$\Rightarrow \dfrac{30-24}{24}\times 100\\\\\Rightarrow \dfrac{6}{24}\times 100\\\\\Rightarrow 25\%$

Therefore, the percentage error is 25%.

6 0

3 years ago

A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?

Verdich [7]

Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.

6 0

3 years ago

A line passes through the point (10,5) and has a slope of 3/2. Write and equation in slope intercept form

ehidna [41]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 10}}\quad ,&{{ 5}})\quad 
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{3}{2}(x-10)\implies y-5=\cfrac{3}{2}x-15
\\\\\\
y=\cfrac{3}{2}x-15+5\implies y=\cfrac{3}{2}x-10$

8 0

3 years ago

What is the mean of these numbers?4,5,5,2,3,3,2,8

VladimirAG [237]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers