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3 years ago

If the sum of a number and four is doubled, the result is one less than the number. Find the number.

Mathematics

1 answer:

diamong [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Equation

2(x + 4) = x - 1

Solution

2x + 8 = x - 1 Subtract x from both sides

2x-x + 8 = - 1 Combine the left

x + 8 = - 1 Subtract 8 from both sides

x + 8-8 = - 1-8

x = - 9

Check

LHS

2(-9 + 4)

2(- 5)

-10

RHS

-9 - 1

- 10

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For which function is the ordered pair (5, 10) not a solution?

Vitek1552 [10]

Answer:

y = x - 5

Step-by-step explanation:

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3 years ago

Given: circle k(O), ED diameter, m∠OEF=32°, m EF=(2x+10)°. Find: x

Snezhnost [94]

Answer:

The value of x is $53\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

$m$

we have

$m$

substitute

$32\°=\frac{1}{2}(arc\ DF)\\ arc\ DF=64\°$

step 2

Find the measure of x

we know that

$arc\ DF+arc\ EF=180\°$ ---> is a semi circle

we have

$arc\ DF=64\°\\ arc\ EF=(2x+10)\°$

substitute

$64\°+(2x+10)\°=180\°\\ 2x\°=180\°-74\°\\ 2x\°=106\°\\ x=53\°$

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3 years ago

A hyperbola in the form (x ^ 2)/(a ^ 2) - (y ^ 2)/(b ^ 2) = 1 has a center, vertices, and foci that fall along a horizontal. Ple

Lyrx [107]

Answer:

True

Step-by-step explanation:

Explanation:-

The equation of the standard hyperbola is

$\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} } =1$

Center is (0,0)

Hyperbola is symmetric with respective to both the axes, since if (x, y) is a point on the hyperbola, then (-x, y), (-x,-y), (x,-y) are also lie on the parabola.
The relation of between focus and transverse and conjugate axes c²=a²+b²

The transverse axis is along x-axis

The conjugate axis is along y-axis
The length of transverse axis is 2 a
The length of conjugate axis is 2 b
The foci is (±c,0) and the equation of foci is x=±a e)

The length of Latus rectum is $\frac{2b^{2} }{a}$

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4 years ago