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stepladder [879]
4 years ago
13

PLEASE HELP! :D Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC.

Then list the steps you took to find the orthocenter, including any necessary points or slope you had to derive.
(I know the exact answer. I know the slopes and the point slope form, but I am basically having trouble with the plotting out the altitudes from the given points. Massive brain fart...)
Mathematics
1 answer:
OverLord2011 [107]4 years ago
6 0
I'm pretty sure you can just use a Cartesian plane and since all of your points are (positive, positive) they'd all be in the First Quadrant (top right)
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Have I been solving these equations correctly?
Tresset [83]

14)


2(-3)² => 2(-3)(-3) => 2*9 = > 18


27+18-11 => 27 + 7 = > 34.


16)


\bf p(x)=\cfrac{x^2-4}{2x+1}\implies p(-8)=\cfrac{(-8)^2-4}{2(-8)+1}\implies p(-8)=\cfrac{64-4}{-16+1} \\\\\\ p(-8)=\cfrac{60}{-15}\implies p(-8)=-4


17)


\bf h(x)=3\cdot 9^x\implies h(-2)=3\cdot 9^{-2}\implies h(-2)=3\cdot \cfrac{1}{9^2} \\\\\\ h(-2)=\cfrac{3}{9^2}\implies h(-2)=\cfrac{3}{81}\implies h(-2)=\cfrac{1}{27}

4 0
3 years ago
AB = 44 + 3xBC = 33 + yCD = 64 − xAD = 48 − 2yQuadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruen
Otrada [13]

The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.

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

<u>step 1</u> :

Given that,

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

<u>step 2</u> :

The opposite sides are AB and CD respectively.

The another opposite sides are BC and AD respectively.

<u>step 3</u> :

If both pairs of opposite sides are congruent, then

AB = CD

44+3x = 64-x

3x+x = 64-44

4x = 20

x = 5

<u>step 4</u> :

BC = AD

33+y = 48-2y

y+2y = 48-33

3y = 15

y = 5

<u>step 5</u> :

Subsitute x=5 and y=5 in any of the given sides,

CD = 64-x = 64-5 = 59

∴ CD = 59 cm

BC = 33+y = 33+5 = 38

∴ BC = 38 cm

The lengths of the opposite side pairs are 59 cm , 38 cm.

3 0
3 years ago
What divides a line segment into two congruent segments?
Nutka1998 [239]

Answer:

segment bisector

Step-by-step explanation:

Too cut in half, think bisect.

So we are talking about a segment, so segment bisector

3 0
4 years ago
A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?​
KATRIN_1 [288]

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}

so the ratio is 1:10

5 0
3 years ago
Find the amount in a continuously compiunded account for the following condition. Principal, $4000; Annual interest rate, 5.1%;
Ket [755]
A = P*e^(rt)

Here,

A = $4000*e^(0.051*2) = $4000*e^1.02 = $4000(2.773) = $11092.78 

Note:  This seems very high to me.
7 0
3 years ago
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