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3 years ago

If cos ∅ lies in the quadrant IV, what can be the value of cos ∅?

Mathematics

2 answers:

Murljashka [212]3 years ago

3 0

Answer:

3/5

Step-by-step explanation:

The range of the cosine function is [-1, 1]. Since √41/5 is greater than 1, we eliminate answers a) and b) immediately.

If this angle lies in Quadrant IV, the "adjacent side" is positive. Thus, the cosine of this angle must be 3/5.

OlgaM077 [116]3 years ago

3 0

D is the correct answer

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Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?

pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

$24^2 + 32^2\\=576 + 1024\\=1600\\=40^2$

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0

3 years ago

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3(-4x + 5) = 12

8_murik_8 [283]

Answer:

x=1/4

Step-by-step explanation:

7 0

3 years ago

QRST is a parallelogram. Find x and y.

Wewaii [24]

In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:

y - 4x = 9

-x + 4 = y

Add x to both sides of the second equation:

y + x = 4

y - 4x = 9

This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:

5x = -5

x = -1

Use x to solve for y:

y + (-1) = 4

y = 5

So, x = -1 and y = 5.

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3 years ago

What are the vertex and x-intercepts of the graph of the function given below?

olchik [2.2K]

The correct question is
What are the vertex and x-intercepts of the graph of the function given below?
y = x²-2x-35

step 1
convert the equation in the vertex form
y+35=x²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form

the vertex is the point (1,-36)

the answer Part a) is
the vertex is the point (1,-36)

Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5

the x-intercepts are the points
(7,0) and (-5,0)

the answer part b) is
the x-intercepts are the points (7,0) and (-5,0)

the total answer is the option
A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)

6 0

3 years ago

Solve this inequality 3q - 6 > 21

erica [24]

3q - 6 > 21

3q > 27

q > 9

6 0

3 years ago

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