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3 years ago

What is the distance between the two points (5,-2) and (-3,8)

1 answer:

4 0

You need to use the distance formula
$d = \sqrt{ {(x - x)}^{2} + {(y - y)}^{2} }$

$\sqrt{ {(5 + 3)}^{2} + {( - 2 - 8)}^{2} }$
so the distance between points (5,-2) and (-3,8) is
$2 \sqrt{41}$
which won't simplify so it stays as is

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

$100+x_2=350$

$100-100+x_2=350-100$

$x_2=250$

Therefore, the company sold 250 gizmos.

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3 years ago

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WILL MARK BRAINLIEST. Can someone help me wit des 2 questions?

Mnenie [13.5K]

Answer:

Zero is a number that can be equal to its opposite.

So, the given equation has solution for which LHS=RHS=0.

Step-by-step explanation:

The answer to the equation is 2

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Answer:

True

Step-by-step explanation:

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Which of the following equations has only one solution? x2 + 4x + 4 = 0 x2 + x = 0 x2 - 1 = 0

Nady [450]

<span>you can solve all quadratic equations using this method:
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x^2 + 4x + 4 = 0
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the above quadratic equation is in standard form, with a=1, b=4, and c=4
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
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into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has ONE real root (the x-intercept), which is:
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x^2 + x = 0
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the above quadratic equation is in standard form, with a=1, b=1, and c=0</span>

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3 years ago

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Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer

sweet [91]

Let's form the difference of the two expressions and see what we can learn.

(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)

Since y > x, this is positive, so 2y -x is greater than 2x -y.

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3 years ago