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3 years ago

Simplify to create an equivalent expression 8(10-6q)+3(-7q-2)

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Answer:

74-69q

Step-by-step explanation:

$8(10-6q)+3(-7q-2)\\\\80-48q-21q-6\\\\80-69q-6\\\\80-6-69q\\\\\boxed{74-69q}$

This can also be -69q + 74.

Hope this helps.

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Noah and Lin are each trying to solve the equation x² - 6x + 10 = 0. They know that the solutions to x² = - 1 are i and -i, but

Leviafan [203]

Answer:

Solving the equation $x^2 - 6x + 10 = 0$ we get $x=3+i \ , \ x=3-i$

Step-by-step explanation:

Noah's step to solve the equation $x^2 - 6x + 10 = 0$ are:

$x^2 - 6x + 10 = 0\\x^2 - 6x = -10\\x^2 - 6x + 9 = -10 + 9\\(x-3)^2 = -1$

The next step is to take square root on both sides because: $\sqrt{x^2}=x$

$\sqrt{(x-3)^2}=\sqrt{-1} \\x-3=\pm\sqrt{-1} \\x=\pm(\sqrt{-1})+3 \\$

Now, we know that: $\sqrt{-1}=i$

$x=\pm(i)+3\\x=3+i \ , \ x=3-i$

So, Solving the equation $x^2 - 6x + 10 = 0$ we get $x=3+i \ , \ x=3-i$

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3 years ago

Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary o

Westkost [7]

From previously received a monthly salary of $1,375.00, Your new monthly salary increase by six percent would be $1,457.50.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

You previously received a monthly salary of $1,375.00

Now by economic expansion, causing wages to increase by 6%

Increment of the salary = 6% of 1,375.00

= 6/100 × 1,375

= 0.06 × 1,375

= $82.50

So, your new monthly salary would be = $1,375.00 + $82.50

= $1,457.50

Hence, your new monthly salary would be $1,457.50.

Learn more about percentages;

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2 years ago

Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, makin

aleksandr82 [10.1K]

Answer:

Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.

Step-by-step explanation:

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3 years ago

Solve for x 73 =(9/10x)+19

Yuliya22 [10]

$73=(\frac{9}{10}x)+19$

To solve x:

1. Substract 19 in both sides of the equation:

$\begin{gathered} 73-19=(\frac{9}{10}x)+19-19 \\ \\ 54=\frac{9}{10}x \end{gathered}$

2. Multiply both sides of the ewuation by 10/9:

$\begin{gathered} 54\cdot\frac{10}{9}=\frac{9}{10}x\cdot\frac{10}{9} \\ \\ \frac{540}{9}=x \\ \\ 60=x \end{gathered}$ <h2>Then, the value of x is 60 (x=60)</h2>

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1 year ago

"How are straight angles different from right angles?" Is this a statement? <br> yes or no

Arturiano [62]

No, this is a question.

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3 years ago