3 years ago

Solve for x. 5x – 3 = 2x +12

Mathematics

1 answer:

mario62 [17]3 years ago

7 0

Answer:

X = 5

<h3>HOPE IT IS HELPFULLY.</h3>

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Which is the definition of perpendicular lines that includes only necessary and sufficient information?

Papessa [141]

Two lines that intersect to create a 90 degree angle

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3 years ago

Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

$Side\ 1 = 10$

$Side\ 2 = 14$

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

$x^2 = Side\ 1^2 + Side\ 2^2$

This gives

$x^2 = 10^2 + 14^2$

$x^2 = 100 + 196$

$x^2 = 296$

Take square root

$x = \sqrt{296$

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3 0

3 years ago

What is the equation of the following graph in vertex form?

Elza [17]

$\bf \boxed{y=(x-{{ h}})^2+{{ k}}}\\\\
x=(y-{{ k}})^2+{{ h}}\qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
\textit{vertex is at 4,-4}\implies 
\begin{cases}
h=4\\
k=-4
\end{cases}\implies y=(x-4)^2+(-4)
\\\\\\
\boxed{y=(x-4)^2-4}$