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3 years ago

How did I lose 5 points?

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

x + 4 = 3x - 8, is assuming D is the midpoint, and therefore ED = DB.

all we know is that D is somewhere in EB.

$\bf E\stackrel{x+4}{\rule[0.35em]{17em}{0.25pt}}D\stackrel{3x-8}{\rule[0.35em]{10em}{0.25pt}}B
\\\\\\
EB=ED+DB\implies EB=(x+4)+(3x-8)\implies EB=4x-4$

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Help ...............

sammy [17]

A straight line is 180° so....

9x+24 +6x - 24 = 180

15x=180. ( because you have to combine like terms.

X= 12

5 0

3 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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2 years ago

Find the area of each figure to the nearest tenth.

sergey [27]

Answer:

Area of triangle ABC=7 square units

Area of triangle A'B'C'=7 square units

Step-by-step explanation:

Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.

The two triangles are congruent so they have the same area.

We can calculate the area by counting the unit squares the triangle covered.

Each full box is 1 units square.

Each triangle covered

1 full box and 12 partially covered boxes.

Each partial box covered is 0.5 square units.

Therefore the area is

$Area=1+0.5\times12$

$Area=1+6$

$Area=7$ square units

6 0

3 years ago

What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 2 y

Alenkinab [10]

From the graph we can see that in the interval [0,1] the value of y is less than 1.

In the interval [1,2] the value of y value is 2 to 4.

In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.

Therefore, the graph going up after y=4 above the line.

Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.

8 0

3 years ago

Read 2 more answers

Lots of points.

Kazeer [188]

Answer:

1. Not a function.

2. This is a function.

3. This is a function.

Step-by-step explanation:

1. 13 maps on to 4 and -4 so not a function.

2 and 3 - these both pass the vertical line test so they are functions.

3 0

2 years ago