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eimsori [14]
2 years ago
12

9 less than 7 times some number is -6

Mathematics
2 answers:
Anettt [7]2 years ago
8 0

Answer:

x=3/7

Step-by-step explanation:

7x -9 = -6

7x 3/7 = 3

3-9 =-6

Anestetic [448]2 years ago
3 0

Answer:

the difference between 7 times a number and 9 less than a number ...

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In triangle MNO shown below, segment NP is an altitude:
Effectus [21]

Answer:  C. Definition of an Altitude

Step-by-step explanation:

Given: In triangle MNO shown below, segment NP is an altitude from the right angle.

Let ∠MNP=x

Then ∠PNO=90°-x

Therefore in triangle MNO,

∠MPN=∠NPO =90°  [by definition of Altitude]

[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]

Now using angle sum property in ΔMNP

∠MNP+∠MPN+∠PMN=180°

⇒x+90°+∠PMN=180°

⇒∠PMN=180°-90°-x

⇒∠PMN=90°-x

Now, in ΔMNO and ΔPNO

∠PMN=∠PNO=90°-x

and ∠MPN=∠NPO =90°  [by definition of altitude]

Therefore by AA similarity postulate, we have

ΔMNO ≈ ΔPNO

5 0
2 years ago
Write a sine function that has an amplitude of 5, a midline of 3 and a period of 1/8.
vodomira [7]

Answer:

y=5sin(16pix)+3

Step-by-step explanation:

Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.

y=sin(x) has period 2pi.

So y=sin(bx) has period 2pi/b.

We want 2pi/b=1/8.

Cross multiplying gives: 16pi=b

y=5sin(16pix+c)+d

d=3 since we want midline y=3.

y=5sin(16pix+c)+3

We can choose c=0 since we aren't required to have a certain phase shift.

y=5sin(16pix)+3

6 0
2 years ago
Evaluate <br> -2/5-4/5+(-9/10)
Sphinxa [80]
ANSWER-

- 21/10 or -2.1









4 0
3 years ago
Factor completely<br> -2x^4+6x^3+8x^2
vlada-n [284]

Answer:

-2x²(x + 1)(x - 4)

Step-by-step explanation:

Hello!

Factor:

  • -2x^4 + 6x^3 + 8x^2
  • -2x^2(x^2 - 3x - 4)        Take out GCF

Think: What numbers add up to -3 and multiply to -4?

Answer: -4 and 1

Continue:

  • -2x^2(x^2 - 3x - 4)
  • -2x^2(x^2 - 4x + x - 4)
  • -2x^2(x(x - 4) + 1(x - 4))       Factor by Grouping
  • -2x^2(x + 1)(x - 4)

The complete factored form is -2x²(x + 1)(x - 4)

5 0
2 years ago
The radius of a semicircle is 4 kilometers. What is the semicircle's diameter? I need this please
sergeinik [125]

Answer:

diameter = 8 km

Step-by-step explanation:

the diameter is equal to 2 times the radius

diameter = 2r

diameter = 2 • (4 km)

diameter = 8 km

7 0
2 years ago
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