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3 years ago

Point B is on line segment AC . Given AB=3x,AB=3x, BC=4x+8,BC=4x+8, and AC=5x+10,AC=5x+10, determine the numerical length of AC

Mathematics

2 answers:

Sauron [17]3 years ago

4 0

Answer:

AC = 15

Step-by-step explanation:

Point B is on line segment AC .

Given

AB=3x

BC=4x+8,

AC=5x+10

determine the numerical length of AC

3x 4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

3x + 4X + 8 = 5X + 10

combine like terms:

3x + 4x - 5x = 10 - 8

simplify:

2x = 2

x = 2 / 2

x = 1

solve for AC

AC = 5x + 10

AC = 5(1) + 10

AC = 15

kolezko [41]3 years ago

3 0

Answer:

AC = 15

Step-by-step explanation:

3x + 4x + 8 = 5x + 10

7x + 8 = 5x + 10

2x + 8 = 10

2x = 2

x = 1

5(1) + 10 = 15

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saul85 [17]

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y=mx+b
y=1/4x-5

2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1

Remember: in an ordered pair, x comes first then y.

Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9

6-(-)2/-2-9= - 4/11.

The slope of your next equation would be m= - 4/11

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2 years ago

Please help me out!

seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

$f(x) =(x-1)(x+7)$

Use the distributive property to multiply the expression

$f(x) =x^2+7x-x-7$

$f(x) =x^2+6x-7$

For a function of the form $f (x) = ax ^ 2 + bx + c$ the x coordinate of the vertex is:

$x =-\frac{b}{2a}$

Then in this case the coordinate of the vertex is:

$x =-\frac{6}{2(1)}$

$x =-3$

To obtain the y coordinate of the vertex we evaluate the function at $x = -3$

$f(-3) =(-3)^2+6(-3)-7$

$f(-3) =9-18-7$

$f(-3) =-16$

Then the vertex is: (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for $x$ and $x> 1$

The correct answers are:

Second option

Third option

Fourth option

7 0

3 years ago

9 over 6 as a percent

stiv31 [10]

150%. since you already have 6, that's 100%. the extra 3 is half of the 6, meaning that it would be 50%

8 0

3 years ago

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Heya ~

arsen [322]

Answer:

y = -3

Step-by-step explanation:

y = x - 7

when x = 4

y = 4 - 7

y = -3

8 0

2 years ago

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The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is s

liubo4ka [24]

ANSWER:

The average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

STEP-BY-STEP EXPLANATION:

The cental limit theorem states, that id the sample size is large (30 or more), then the sampling distribution of the sample means is approximately normal with mean ц and standar deviation б/ $\sqrt{n}$

Thus the correct answer is the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

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3 years ago