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timama [110]
3 years ago
7

What is the distance between the points (4,9) and (1,3)?

Mathematics
1 answer:
qaws [65]3 years ago
3 0
6 I think but don't take my word for it.
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The diagram shown is two intersecting lines. The measure of 5 is 47°.
Oksi-84 [34.3K]

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

<h3>What is a Linear Pair?</h3>

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

Learn more about linear pair on:

brainly.com/question/3768841

6 0
2 years ago
Find all zeros. One zero had been give
nekit [7.7K]

Answer:

The three zeros of the original function f(x) are {-1/2, -3, -5}.

Step-by-step explanation:

"Synthetic division" is the perfect tool for approaching this problem.    Long div. would also "work."

Use -5 as the first divisor in synthetic division:

      ------------------------

-5    2     17    38    15

              -10  -35   -15

       --------------------------

         2      7     3     0

Note that there's no remainder here.  That tells us that -5 is indeed a zero of the given function.  We can apply synthetic div. again to the remaining three coefficients, as follows:

     -------------

-3    2     7    3

             -6   -3

     -----------------

        2     1     0

Note that the '3' in    2   7   3 tells me that -3, 3, -1 or 1 may be an additional zero.  As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.

That leaves the coefficients 2   1.  This corresponds to 2x + 1 = 0, which is easily solved for x:

If 2x + 1 = 0, then 2x = -1, and x = -1/2.

Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.

6 0
3 years ago
Nora must create a 4-character password to login to a website. The password must have three letters followed by a single digit,
patriot [66]

Answer:

The outcomes are {1nor} , {2nor}, {3nor}, {4nor}, {5nor}, {6nor}, {7nor}, {8nor}, {9nor}

Step-by-step explanation:

The outcomes are {1nor} , {2nor}, {3nor}, {4nor}, {5nor}, {6nor}, {7nor}, {8nor}, {9nor}

Reason-

0 can not be possible because if 0 is the first digit then , it will become the 3-digit password , not 4-digit

3 0
2 years ago
25x2 + 20x + 4 = 75 <br> Please help.
Natalija [7]

Answer:

X= 71/70

I Hope That Helped

7 0
3 years ago
Read 2 more answers
Graph the equation y = x + 1<br> Show Your Work<br> .<br> 2<br> 1
SCORPION-xisa [38]

Answer:

y intercept is one and slope is one

Step-by-step explanation:

4 0
3 years ago
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