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3 years ago

Find the slope of the line 8x-2y=11

Mathematics

1 answer:

Alex777 [14]3 years ago

6 0

The slope equals to 4

By rearranging the equation to be this : y=4x-5.5

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. Use the quadratic formula to solve each quadratic real equation. Round

Liono4ka [1.6K]

Answer:

A. No real solution

B. 5 and -1.5

C. 5.5

Step-by-step explanation:

The quadratic formula is:

$\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}$ , with a being the x² term, b being the x term, and c being the constant.

Let's solve for a.

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}$

We can't take the square root of a negative number, so A has no real solution.

Let's do B now.

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}$

$\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5$

So B has two solutions of 5 and -1.5.

Now to C!

$\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}$

$\frac{44}{8} = 5.5$

So c has one solution: 5.5

Hope this helped (and I'm sorry I'm late!)

4 0

3 years ago

If someone travels 20km in 30mins, what is their speed?

scoundrel [369]

You are given a distance of 20 kilometers and time of 30 minutes. You are required to find for the speed of the travelling object. The equation for speed is distance over time. Speed is a scalar quantity. It tells you the direction of the travelling object. The solution in this problem is,

Speed = distance/time
Speed = 20 kilometers / 30 minutes
<u>Speed = 2/3 kilometers per minute or 0.667 kilometers per minute</u>
<span>Therefore, the speed of the object is 0.667 km per minute.</span>

4 0

3 years ago

What is the domain and range of quadratic function with vertex.

Alexus [3.1K]

Answer:

As with any function, the domain of a quadratic function f(x) is the set of x -values for which the function is defined, and the range is the set of all the output values (values of f ). Quadratic functions generally have the whole real line as their domain: any x is a legitimate input. The vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if

4 0

2 years ago

The eiffel tower in paris stands at a height of 1063 what is the metric equivalent in meters

deff fn [24]

the answer is 324.0024 meters

one foot is equal to .3048 meters

so 1063 * .3048 :)

5 0

3 years ago

Read 2 more answers

Find the percent of increase to the nearest whole percent from 12 to 20? Please help

Gala2k [10]