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butalik [34]
2 years ago
8

F(x)=4x-3 g(x)=x^3+2x find (f-g)(4)

Mathematics
1 answer:
Roman55 [17]2 years ago
5 0
<span>((f-g)(4) means f(4) - g(4).)</span><span>im pretty sure the answer  -59 </span>
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a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?
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4

Step-by-step explanation:

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The diagonals of a rhombus are: A. are the same length and intersect at different angles B. bisect each other at right angles C.
anygoal [31]

Answer:

Step-by-step explanation:

Comment

Either you know the answer to this or you don't. There is no point in eliminating the wrong answers until you get to the right one. It is better to get to the right one immediately.

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1 year ago
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2 years ago
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Radius of circle is 6 and I need help finding the angles, SUT is 39 and MOP is 49 degrees
kolezko [41]

Answer:

a. i) ∠TUV = 39°

ii) The measure of arc VTS (the minor arc) = 102°

b. The diameter <em>OT</em> of the circle = 12

c. The angle which we can calculate, given ∠MOP, is angle ∠OTM = 51°

i) Arc MVT = 98° and arc MO = 82°

Step-by-step explanation:

The given parameters are;

The radius of the circle = 6

∠SUT = 39°, ∠MOP = 49°

a. i) According to two tangent theory, two tangents that meet at a given point are congruent

Therefore, VU is congruent to SU

Given that PU is congruent to PU by reflexive property and PV = PS = The radius of the circle, we have;

ΔPVU is congruent to ΔPSU by Side Side Side (SSS) rule of congruency

∠SUT ≅ ∠TUV by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Therefore, ∠SUT = ∠TUV = 39° by transitive property of equality

ii) Arc VTS is the minor arc while arc VOS is the major arc by size

The arc measure that describes arc VTS is the minor arc

iii) From circle theorem, we have that the sum of the angle formed by two tangents and the minor arc equals 180°

Therefore, ∠SUT + ∠TUV + arc VTS = 180°

∴ Arc VTS = 180° - (39° + 39°) = 102°

b. The line segment length that can be calculated based on knowing the radius length includes the length of the diameter <em>OT</em> of the circle

The diameter <em>OT</em> = 2 × The length of the radius

∴ The diameter <em>OT</em> = 2 × 6 = 12

c. The angle ∠MOP, is an interior angle of the right triangle ΔTMO formed by the diameter of the circle, <em>OT</em>, therefore, given that ∠MOP = 39°, we have;

∠OTM = 90° - ∠MOP

∴ ∠OTM = 90° - 39° = 51°

∠OTM = 51°

Therefore, given ∠MOP, we can calculate angle ∠OTM

i) The arc that we can calculate, given ∠MOP are arc MVT and arc MO

Arc MVT = 2 × ∠MOP

∴ Arc MVT = 2 × 49° = 98°

Arc MO = 2 × ∠OTM

∴ Arc MO = 2 × (90° - 49°) = 82°

6 0
3 years ago
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