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2 years ago

Find the measure of x. 7. 105° X 123 - 111 a. 105 C. 43

Mathematics

1 answer:

sattari [20]2 years ago

4 0

Answer:

Step-by-step explanation:

105+2x-11=180(vertically opp.t)

94+2x=180

2x=180-94

x=86/2

x=43

Hope this helps u...

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One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

Use the drawing tool(s) to form the correct answer on the provided graph.

hjlf

Answer:

We don’t have drawing tools, I’m sorry

Step-by-step explanation:

Brainly doesn’t have a drawing tool, sorry

6 0

3 years ago

Wes measures the floor area of his rectangular living room to replace the carpet with tiles.The room is 12.4 feet long and 9.8 f

Zina [86]

Answer: 121.52 square feets

Step-by-step explanation:

The room has the shape of a rectangle and its dimensions are 12.4 feet long and 9.8 feet wide. This means that dimension of the carpet is also 12.4 feet long and 9.8 feet wide. To replace the rectangular carpet with tiles, the area of the tiles must be equal to the area of the carpet. The area of the carpet is determined by length × width.

Length of the room or carpet = 12.4 feets

Width of the room or carpet = 9.8 feets

The number of square feets of tiles that Wes will need

=12.4 ×9.8 = 121.52 square feets

7 0

2 years ago

Parallel Lines have the ____ slope. neither same opposite reciprocal

jeyben [28]

Answer:

the same

Step-by-step explanation:

parralell lines are known for being straight forward and symetrical

6 0

3 years ago

Read 2 more answers

Jamilla has a piece of ribbon that is 48.5 centimeters long. For her scrapbook, she cuts it into two pieces so that one piece is

ale4655 [162]

Shorter piece = x
longer piece = 4x

x + 4x = 48.5
5x = 48.5
x = 48.5/5
x = 9.7 cm ← shorter piece

longer piece = 4x = 4 * 9.7 = 38.8 cm

8 0

3 years ago