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MAVERICK [17]
2 years ago
10

Where does the circumference of each kind of triangle lie? Question 1 options: Inside the triangle. Outside the triangle. On the

hypotenuse. 1. Acute Triangle 2. Obtuse Triangle 3. Right Triangle

Mathematics
1 answer:
stiks02 [169]2 years ago
4 0

Answer:

Inside the triangle - Acute Triangle

Outside the triangle - Obtuse Triangle

On the hypotenuse - Right Triangle

Step-by-step explanation:

The <u>circumcenter</u> is the point where the perpendicular bisectors of a triangle intersect.

In the special case of a right triangle, the circumcenter lies exactly at the midpoint of the hypotenuse.

The circumcenter of an acute triangle lies inside the triangle.

The circumcenter of an obtuse triangle lies outside the triangle.

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Please answer the question in the picture
rosijanka [135]

answer:

(5x-1)(x-3)

explanation:

→ 5x² - 16x +3

→ 5x² -15x - x +3

→ 5x(x-3)-1(x-3)

→ (5x-1)(x-3)

3 0
2 years ago
Two exponential functions are shown in the table. A 3-column table has 5 rows. The first column is labeled x with entries 2, 1,
DanielleElmas [232]

Answer:

B. The functions f(x) and g(x) are reflections over the y-axis.

Step-by-step explanation:

From the information given the table appears as;

x            f(x)=2^x              g(x)=0.5^x

2               4                            0.25

1                 2                           0.5

0                1                             1

-1                0.5                         2

-2               0.25                       4

Plotting the two graphs to view the trends;

In the graph of f(x)=2^x against x you notice a curve with increasing positive slope.

In the graph of g(x)=0.5^x against x you notice a curve with a negative slope that is increasing.

In combining both graphs you notice that f(x) and g(x) are reflections over the y-axis.

Correct answer is ;The functions f(x) and g(x) are reflections over the y-axis.

9 0
3 years ago
What is the scale factor of two similar pyramids with volume of 13824 cubic feel and 216 cubic feet?
velikii [3]

Answer: The scale factor is 4

Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is  13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

V_1=13,824ft^3\\V_2=216ft^3

By Similar solids theorem, if two similar solids have a scale factor of \frac{a}{b}, then corresponding volumes have a ratio of \frac{a^3}{b^3}

Then:

\frac{V_1}{V_2}=\frac{a^3}{b^3}

Knowing this, we can find the scale factor. This is:

\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4

3 0
3 years ago
Write the equation of the line perpendicular to y= 2/5x+6/6 that passes through the point (-2,6)
Oliga [24]
The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1


the equation of the line is y = -5/2x +1
3 0
3 years ago
Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of
Arturiano [62]

Answer:

y =  \frac{1}{8} x - 2  \frac{1}{4}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

- 2 =  \frac{1}{4}  + c

c =  - 2 -  \frac{1}{4}

c =  - 2 \frac{1}{4}

Thus, the equation of line q is y =  \frac{1}{8} x - 2 \frac{1}{4}.

4 0
2 years ago
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