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bixtya [17]
3 years ago
12

On Monday, Dia ran 1 1/5 hours and traveled 6 miles. What was her average speed that day?

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

5 miles per hour.

Step-by-step explanation:

Average speed = distance  time = 6 / (1 1/5)

= 6 / 6/5

= 6 * 5/6

= 5 miles per hour.

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If BC = 6 and AD = 5, find DC. 4 4.5 7.2
anygoal [31]

Answer:

The length of CD is 4 units

Step-by-step explanation:

Given the triangle ABC and if BC = 6 units and AD = 5 units

we have to find the length of DC.

In ΔABC and ΔBDC

∠ABC=∠BDC    (each 90°)

BC=BC   (common)

∠C=∠C   (Common)

By ASA rule, ΔABC≈ΔBDC

Therefore their corresponding sides are in proportion

\frac{BC}{AC}=\frac{BD}{AB}=\frac{CD}{BC}

\frac{BC}{AC}=\frac{CD}{BC}

Let CD=x units

BC^2=(AC)(CD)

6^2=(AD+CD)CD

36=(5+x)x

36=5x+x^2

x^2+5x-36=0

x^2+9x-4x-36=0

x(x+9)-4(x+9)=0

(x-4)(x+9)=0

x=4, -9

Distance can't be negative therefore

The length of CD is 4 units

4 0
3 years ago
PLEASE HELP ASAP!:<br><br> Solve for a and b<br> 6a-b=-5<br> 4a-3b = -8
klemol [59]

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in <em>a</em> to find <em>b</em>

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

7 0
3 years ago
PLEASE HELP! Create a table of points from the equation f(x)=3x^2-8x+2. (I'll add a picture of the tables)
DochEvi [55]
<h3>Answer: Choice A</h3>

===============================================

Explanation:

If we replace x with 0, then we get...

f(x) = 3x^2-8x+2

f(0) = 3(0)^2 - 8(0) + 2

f(0) = 3(0) - 8(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

Showing that the input x = 0 leads to the output y = f(x) = 2

The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.

-----------

Let's plug in x = 1

f(x) = 3x^2-8x+2

f(1) = 3(1)^2 - 8(1) + 2

f(1) = 3(1) - 8(1) + 2

f(1) = 3 - 8 + 2

f(1) = -5 + 2

f(1) = -3

So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.

We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.

3 0
3 years ago
Needdddd help on thissss
inn [45]

Answer:

Chose forth and fifth answer

7 0
3 years ago
I NEED HELP !!!!!!!!!
marissa [1.9K]

Answer:

b

d

e

Step-by-step explanation:

the standar form is

ax^{2} +bx+c=0

so it's

0.5x^{2} -3.2x+5.8=0\\\\-x^2-3x+20=0\\\\\frac{1}{2}x^2+4x-3=0\\\\

only that

7 0
3 years ago
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