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3 years ago

D-I are the measurements of the lengths of the sides of triangles. Identify the types of

Mathematics

1 answer:

melomori [17]3 years ago

5 0

Answer:

The sum of the interior angles of a triangle is 180 degrees.

d. Scalene

e. Isosceles

f. Isosceles

g. Equilateral

h. Scalene

i. Equilateral

j. Right

l. Acute

m. Obtuse - doesn't add to 180 not a triangle

n. Acute - doesn't add to 180 not a triangle

o. Obtuse

Step-by-step explanation:

The interior angles of a triangle add to 180 degrees. There are two ways we classify triangle by side lengths and angle measures.

Side lengths: Compare the side lengths and see if any are equal to determine the type.

Scalene: 3 different lengths
Isosceles: 2 equal lengths and 1 different
Equilateral : 3 equal sides

Angle Measures: Compare the angles measures to 90 degrees.

Right: If one angle is equal to 90
Acute: All angles are less than 90 degrees
Obtuse: One angle is greater than 90 degrees

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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o

katrin2010 [14]

Answer:

$y=2(x+6)^2+7$

$(-6,7)$

Step-by-step explanation:

$y=2x^2+24x+79$

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

$y=(2x^2+24x)+79$

Factor out the coefficient of the quadratic term,

$y=2(x^2+12x)+79$

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

$y=2(x^2+12x+36-36)+79$

Simplify,

$y=2(x^2+12x+36)+79+(2)(-36)$

$y=2(x+6)^2+79-72$

$y=2(x+6)^2+7$

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

$(-6,7)$

7 0

3 years ago

State the range of possible values for x if (3x+5)(x-1) < 2x+7

lara31 [8.8K]

we are given with the inequality

$(3x+5)(x-1) < 2x+7\\ \\$

Open the parenthesis we get on left side we get

$(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5$

8 0

3 years ago

Find the equation in slope-intercept form that describes a line through (2, 4) with slope 0

MrRa [10]

I believe the answer is b

6 0

3 years ago

Which of the following describes the function −x3 + 5?

algol13

Answer:

The correct choice is C

Step-by-step explanation:

The given function is:

$-x^3+5$

The degree of this function is odd so the function will rise at one end and fall on the other end.

Since the coefficient of the leading term is negative, the graph of the function will rise at the left and fall on the right.

The correct answer is option C.

4 0

3 years ago

Did I do it rightly?

Andreas93 [3]

Yes. If the segment only has 2 points, it can be named both ways.

3 0

3 years ago