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3 years ago

Find the equation of the line

Mathematics

1 answer:

DENIUS [597]3 years ago

3 0

Y=(6/7)x - 1/2 (where 1/2 is the y intercept and 6/7 is the slope)

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Simplify the expression to a polynomial in standard form. (X+1)(3x^2+9x+2)

OLEGan [10]

Answer:

3x^3 + 12x^2 +11x +2

Step-by-step explanation:

this is also a cube root expanded If that helps

4 0

2 years ago

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

3 years ago

What is the area, in square meters, of the trapezoid below

ahrayia [7]

Answer:

114.12

Step-by-step explanation:

A = (a+b)/2 ×h

= (6.2 + 25.5)/2 ×7.2

=114.12

8 0

2 years ago

A manufacturer of mosquito repellent claims that the average amount of time their repellent is effective is at least 3.5 hours.

natta225 [31]

Answer:

Hypothesis Testing:

Manufacturer claims that the average of time their mosquito repelllent is effective is at least 3.5hrs l.e μ ≥ 3.5hrs

Step-by-step explanation:

5 0

2 years ago

Solve the given system, using the substitution method.

alexandr1967 [171]

Y = 3x - 7 . . . . . (1)
6x - 2y = 12 . . . (2)

Putting (1) into (2) gives
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12

Therefore, there is no solution.

5 0

2 years ago

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