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3 years ago

A system of equations is shown:

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x=-y+6&(1)\\-4x+3y=8&(2)\end{array}\right\\\\(1)\\-y+6=2x\qquad\text{subtract 6 from both sides}\\-y=2x-6\qquad\text{change the signs}\\y=6-2x\\\\\text{substitute it to (2):}\\\\(2)\\-4x+3(6-2x)=8\qquad\text{use the distributive property}\\-4x+(3)(6)+(3)(-2x)=8\\-4x+18-6x=8\qquad\text{subtract 18 from both sides}\\-10x=-10\qquad\text{divide both sides by (-10)}\\x=1\\\\\text{put the value of x to (1):}\\\\y=6-2(1)\\y=6-2\\y=4$

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The diameter of a circle is 2 centimeters. What is the circle's circumference?

leonid [27]

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3 years ago

Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and

trasher [3.6K]

Answer:

XY is 4 units.

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

Putting the given values, we have,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}$

Thus, the length of XY is 4 units.

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3 years ago

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lbvjy [14]

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3 years ago

−7x−6y=2<br> 7x+4y=−6<br> solve for x and y

ikadub [295]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}$

Step-by-step explanation:

$\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}$

$\mathrm{Substitute\:}x=-\frac{2+6y}{7}$

$\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}$

$\begin{bmatrix}-2-2y=-6\end{bmatrix}$

$\mathrm{For\:}x=-\frac{2+6y}{7}$

$\mathrm{Substitute\:}y=2$

$x=-\frac{2+6\cdot \:2}{7}\\\\x=-2$

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2 years ago

Help please I don’t know how to do it

bearhunter [10]

An integer is just a whole number, so like 3 or 6 or 17. any number without a decimal.
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2 years ago