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Sergeeva-Olga [200]
3 years ago
15

ΔABC has vertices A(0,10), B(4,10), and C(-2,4).

Mathematics
2 answers:
love history [14]3 years ago
5 0
The orthocenter is the point of intersection of the altitude lines of the triangle. Of course, each altitude line is perpendicular to a side and passes through the vertex opposite.

A graphing program shows the appropriate choice to be
  d (-2, 12)

_____
Here, the answer choices are sufficiently far apart that you can pick the appropriate one "by eye." No calculations are necessary. The altitude lines to segments AB and BC must intersect in the second quadrant. Only one answer choice lies there.

anastassius [24]3 years ago
4 0

Answer:

The answer is D.

Step-by-step explanation:


You might be interested in
The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?
olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age  and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39    ------(1)

  Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3   -------(2)

⇒  2x - y = 3  -----(3)

(1) + (3) ⇒  

 x + y = 39

2x - y = 3

----------------

3x   = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3  = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0
3 years ago
Past experience at the Pasadena Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for t
kap26 [50]

Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.

Step-by-step explanation:

From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.

During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:

= 480/1000 × 100

= 48%

Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.

8 0
3 years ago
Marlow types 90 words in 3 minutes. How many words does he type in 7 hours?<br>​
Contact [7]

Answer:

if I am right it is 12,600 words

Step-by-step explanation: 90 divided by 3 which is 30     420x30=12,600

7 0
3 years ago
Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health
Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

x=\frac{1400-543}{39.6}\approx 21.6

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.

3 0
3 years ago
Select all the expressions that are equivalent to the polynomial below.
katrin2010 [14]
The answers are: D and C and A and E
because: 


B 3(x - 5) - 2(6x2 + 9x + 5)=<span><span><span>−<span>12<span>x^2</span></span></span>−<span>15x</span></span>−<span>25

</span></span>F (4x2 - 13x - 7) - (16x2 + 9x - 5)=<span><span>−<span>12<span>x2</span></span></span>−<span>22x</span></span>−<span>2

E </span>(-15x2 + 9x - 10) + (3x2 - 10x - 5)=<span><span>−<span>12<span>x^2</span></span></span>−x</span>−<span>15</span>
4 0
3 years ago
Read 2 more answers
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