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Anit [1.1K]
3 years ago
7

What is the orthocenter of the triangle with two altitudes given by the lines x = -1 and y = x+1

Mathematics
1 answer:
zysi [14]3 years ago
3 0
Answer: (-1,0)

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

Explanation:

A quick method is to simply look at the graph and notice the two altitudes cross at (-1,0)

----------

A longer method involves a bit of algebra but its not too bad

y = x+1
y = -1+1 ... plug in x = -1 (ie replace x with -1)
y = 0
So when x = -1, the value of y is y = 0
They pair up to get (x,y) = (-1,0) which confirms what the graph is showing

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14.7 ml and a mass of 22.8 g
aliya0001 [1]

The density of the liquid is 1.55 g/mL.

Given the following data:

Mass of liquid = 22.8 grams

Volume of liquid = 14.7 mL

To find the density (unknown) of the liquid:

Density is mass all over the volume of a substance or an object.  Thus, density is mass per unit volume of an object.

Mathematically, the density of a substance is given by the formula;

Substituting the values into the formula, we have;

Density = 1.55 g/mL

Therefore, the density of the liquid is 1.55 g/mL.

Read more: brainly.com/question/18320053

5 0
1 year ago
2
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Answer:

hi

Step-by-step explanation:

Perdon si no te ayudo pero solo quiero los puntos para mis preguntas

6 0
3 years ago
Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
3 years ago
Asking again because last time I didnt get an actual answer. What is the surface area of this composite figure?
Katyanochek1 [597]

Answer:

644 cm^2

Step-by-step explanation:

10*7*2+12*7*2+12*10=140+168+120=428

10*12-3*3=111

428+111=539

8*3*4+3*3=96+9=105

539+105=644

3 0
3 years ago
What is an ecosystem
klemol [59]
An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. ... Ecosystems are controlled by external and internal factors.
4 0
3 years ago
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