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Gnoma [55]
2 years ago
12

In the diagram, DC is 10 units and BC is 6 units. Line l is a perpendicular bisector of line segment A C. It intersects line seg

ment A C at point B. Line l also contains points D and E. What is the length of segment AC? 6 units 8 units 12 units 16 units
Mathematics
2 answers:
victus00 [196]2 years ago
9 0

Answer:

it says whats the units of dc for me

Step-by-step explanation:

Orlov [11]2 years ago
7 0

Answer:

  12 units

Step-by-step explanation:

Point B is the midpoint of AC, and it is 6 units from C. Therefore A must be 12 units from C.

  AC = 12 units

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The graphs below have the same shape. The equation of the blue graph is f(x) = 2x. Which of these is the equation of the red gra
Allisa [31]
The main thing you want to ask yourself is "What is the difference between the two graphs?"

As we can see, the graphs look identical in every way except that g(x) is lower than f(x).

This means that the graph is shifted down a certain amount.

If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.

This means that f(x) is two units lower than g(x).

The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).

Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).

Therefore, g(x) = 2^{x} - 2.
4 0
2 years ago
In one baseball season Peter hit twice the difference of the number of home runs Alice hit and 6. altogether,they hit 18 home ru
Viktor [21]
<span>In a baseball season:
Peter hit = 2 (x - 6)
Total = 19 hits

X= Alex’s hit
Y = Peter’s Hit

=> Y = 2(x - 6)
=> x + y = 18
Let’s start from the second given equation:
=> x + y =18
=> y = 18 – x
Now, let’s use the first given equation to solve:
=> 18 – x = 2 (x - 6)
=> 18 – x = 2x – 12
=> -3x = -30
x = 10

Now, Let’s try:
=> Y = 2(x - 6)
=> y = 2 (10 - 6)
=> y = 2 (4)
=> y = 8

Thus, Peter hit 8 and Alice hit 10.</span>



4 0
2 years ago
Rayna is building a tapered staircase using wooden boards. The bottom stair is 3 ft wide, and the top stair is 2 ft wide. Each s
Oksana_A [137]

Answer:

Total length of wooden boards = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

Step-by-step explanation:

First we need to convert the 4 in measurement to foot.

The conversion rate is: 12 inches = 1 foot.

So we have that 4 inches is equal to 1/3 feet.

If each stair is (1/3) feet shorter than the one below, we have that:

Bottom stair = 3 feet

Second stair = 2.666 feet

Third stair = 2.333 feet

Top stair = 2 feet

The staircase have 4 stairs:

3 feet, 2.666 feet, 2.333 feet and 2 feet

Now, to know the total length of wooden boards, we just need to sum the length of each stair:

Total = 3 + 2.666 + 2.333 + 2 = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

3 0
2 years ago
The distance between New York and Philadelphia by railroad is 90 miles; the distance between them by river and ocean is 240 mile
VladimirAG [237]
Start with 90/240, then reduce the fraction
you can reduce by dividing each by 10 to get 9/24
reduce more from there, seeing that each number can be divided by 3
9/3  = 3
24/3 = 8
answer 3/8

3 0
2 years ago
David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below.
Vikentia [17]

Answer:

Given Polynomial:

80b^4-32b^2c^3+48b^4c

Factors of Coefficient of terms

80 = 5 × 16

32 = 2 × 16

48 = 3 × 16

Common factor of the coefficient of all term is 16.

Each term contain variable. So the Minimum power of b is common from all terms.

Common from all variable part comes b².

So, Common factor of the polynomial = 16b²

⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )

⇒ 16b² ( 5b² - 2c³ + 3b²c )

Therefore, Statements that are true about David's word are:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property

8 0
2 years ago
Read 2 more answers
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