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2 years ago

Select the locations on the number line to plot the points −6 , −12 , and −16 .

Mathematics

1 answer:

ANTONII [103]2 years ago

7 0

Count backwards so -6 would be infront of -5 cause 5,6 then count 6 ahead from where -6 is then count 4 ahead from where -12 is
i’m not good at explaining sorry!

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Find the measures of the interior angles of the triangle.

jeka94

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know ∠C is 90°

Now, to find ∠B, you should use the following equation:

A+B+C = 180°

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

30° + B + 90° = 180

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

B = 180° - 30° - 90°

B = 60

Hope it helps!!

3 0

2 years ago

Given that the quadratic equation has equal roots (k^2-1)x^2-2kx-3k-1=0

Alik [6]

Answer:

(See explanation for further details)

Step-by-step explanation:

The real expression is:

$(k^{2}-1)\cdot x{{2} - 2\cdot k \cdot x - 3\cdot k + 1 = 0$

The general equation for the second-order polynomial is:

$x = \frac{2\cdot k \pm \sqrt{4\cdot k^{2}-4\cdot (k^{2}-1)\cdot (-3\cdot k + 1)}}{k^{2}-1}$

This condition must be observed for the case of a quadratic equation with equal roots:

$4\cdot k^{2} - 4\cdot (k^{2}-1)\cdot (-3\cdot k + 1) = 0$

$k^{2} + (k^{2}-1)\cdot (3\cdot k + 1) = 0$

$k^{2} + 3\cdot k^{3} - 3\cdot k - k^{2}-1 = 0$

$3\cdot k^{3} - 3\cdot k - 1 = 0$

7 0

2 years ago

In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

Nataly_w [17]

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B and ∠C are equal, the sides opposite them

are equal too. This is an isosceles right triangle. Its legs

are equal.

-- (The hypotenuse)² = (one leg)² + (the other leg)²

= (12-ft)² + (12-ft)²

= (144 x 2)

The hypotenuse = √(144 x 2) = 12√2 .

LOL

7 0

2 years ago

What is the lateral area of a rectangular prism with length of 4in width of 5in and height of 15in

pav-90 [236]

300 cubic in. I think

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2 years ago

Amy deposits $20,000 into an account that pays 6% interest per year, compounded annually. Bill deposits $20,000 into an account

wariber [46]

I need this answer too please help us out !!

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2 years ago

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