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4 years ago

Which term describes the point where the three altitudes of a triangle intersect?

Mathematics

2 answers:

kumpel [21]4 years ago

5 0

Answer: Option (B) is the correct answer.

Step-by-step explanation:

A point at which three altitudes of a triangle meet is known as orthocenter.

Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.

When all the three medians of a triangle intersect each other then the point is known as centroid.

Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.

Digiron [165]4 years ago

4 0

Orthocentre, describes the point where the three altitudes of a triangle intersect.

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Can anyone tell me the standard form of this parabola equation?

irina [24]

Answer:

$x=4y^2-24y+30$

$(x-4.5)^2+(y-2.5)^2=23$

Step-by-step explanation:

Standard form of a sideways parabola: $x=ay^2+by+c$

Given equation:

$4y^2-x-24y+30=0$

Add x to both sides:

$4y^2-24y+30=x$

$\implies x=4y^2-24y+30$

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

<u>Standard form of circle equation</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a,b) is the center and r is the radius)

Given equation:

$2x^2+2y^2-18x-10y+7=0$

Group like terms:

$2x^2-18x+2y^2-10y+7=0$

Divide by 2:

$x^2-9x+y^2-5y+3.5=0$

Factor by completing the square for each variable:

$(x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0$

Rearrange into standard form:

$(x-4.5)^2+(y-2.5)^2=23$

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

7 0

2 years ago

Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 m

Doss [256]

Answer:

By the time she achieves her 26 mile goal Andrea will have run 176 miles.

Step-by-step explanation:

Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:

6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X

14 + 22 + 30 + 38 + 46 + 26 = X

36 + 68 + 72 = X

36 + 140 = X

176 = X

So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.

6 0

3 years ago

What are the answers please <br><br><br><br> I will sub and like if you help me please . . .

Alik [6]

Answer:

A: 40

B: 1

C: 4000

Step-by-step explanation:

6 0

3 years ago

I have no clue what I’m doing.

motikmotik

C. 102 should be correct

6 0

3 years ago

Read 2 more answers

The answer to this question asap please

Mkey [24]

At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.

<h3>How to state hypothesis conclusion?</h3>

We are given;

Sample size; n = 78

population standard deviation σ = 37

Sample Mean; x' = 280

Population mean; μ = 287

The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;

Null hypothesis; H₀: μ > 280

Alternative hypothesis; Hₐ: μ < 280

This is a one tail test with significance level of α = 0.13

From online tables, the critical value at α = 0.13 is z(c) = -1.13

b) Formula for the test statistic is;

z = (x- μ)/(σ/√n)

z = ((280 - 287) *√78 )/37

z = -1.67

c) From online p-value from z-score calculator, we have;

P[ z > 280 ] = 0.048

d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀

e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.

Read more about Hypothesis Conclusion at; brainly.com/question/15980493

#SPJ1

5 0

2 years ago