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3 years ago

A triangle with three acute angles

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

Answer:

An Acute triangle

Step-by-step explanation:

An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°).

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45 miles per hour = how many feet per second?

shusha [124]

45 miles per hour would equal 66 feet per second.

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4 years ago

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Halley’s Comet has an elliptical orbit with the sun at one focus and a major axis of 1,636,484,848 miles. The closest the comet

zhenek [66]

Answer:

1582480848 miles

Step-by-step explanation:

The maximum distance is another vertex of the major axis

1,636,484,848 miles - 54,004,000 miles = 1582480848 miles

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3 years ago

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The product of 2x-3 and x+4 can be expressed asA) 2x^2+5x-12B) 3x+1C) 2x^2+x-12D) 2x^2-12

DanielleElmas [232]

The given product is

$(2x-3)(x+4)$

We have to use the distributive property

$2x\cdot x+2x\cdot4-3\cdot x-3\cdot4=2x^2+8x-3x-12$

Then, we reduce like terms

$2x^2+5x-12$ <h2>Hence, the answer is A.</h2>

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1 year ago

K is the midpoint of JL,JL=4x-2 and jk=7,find x KL and JL

diamong [38]

K is the midpoint of JL...so JK=KL=7
JL=(JK + KL)>>>>>>whole part axiom
or,4x=2×JK>>>>>>>{JK=KL➡JK+KL=JK+JK}
or,4x=2×7
or,x=14/4=7/2

[ x=7/2 ] [KL=JK=7] and [JL=4x=(4×7)/2=14]

4 0

4 years ago

Extended Problems, Extraneous Solutions

diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

$(x + 2 = \sqrt{3x + 10}$

Square both sides

$(x + 2) {}^{2} = 3x + 10$

Remeber perfect square Rule

$(x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2}$

So now we got

$x {}^{2} + 4x + 4 = 3x + 10$

${x}^{2} + x + 4 = 10$

${x}^{2} + x - 6 = 0$

Factor into binomial.

$(x + 3)(x - 2) = 0$

So our solution is 3 or 2. However, let's check our work.

$- 3 + 2 = \sqrt{3( - 3) + 10}$

$- 1 = \sqrt{1}$

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

 $2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4$ 

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

5 0

2 years ago