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Olenka [21]
3 years ago
11

What are the x- and y-intercepts of g(x) = 4 – x??

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

See below in bold.

Step-by-step explanation:

The y -intercept is when x = 0 so

it is 4 - 0 = 4

That is (0, 4)

For the x intercept g(x) = 0 so

4 - x = 0

x = 4.

x -intercept is at  (4,0).

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The product of a rational and irrational number is rational. always sometimes never
V125BC [204]

Answer:

"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.

Step-by-step explanation:

PLZ MARK BRAINLIEST

3 0
3 years ago
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
IrinaK [193]

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = (\frac{-2+8}{2} ,\frac{1+9}{2} )

               Centre (h, k) = (3 , 5)

<u><em>Step(ii):-</em></u>

The distance of two end points

PQ = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2}  }

PQ= \sqrt{(8+2 )^{2} +(8 )^{2}  }

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

<u><em>Final answer:-</em></u>

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

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3 years ago
Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time.
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Answer: a

Step-by-step explanation:

7 0
3 years ago
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What is the simpler form of (2x-6)^2
KatRina [158]
(2x - 6)^2 = (2x - 6)(2x - 6) = 4x^2 - 12x - 12x + 36 = 4x^2 - 24x + 36
6 0
3 years ago
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Look at the image please helppp
balu736 [363]

Answer:

Option A. one rectangle and two triangles

Option E. one triangle and one trapezoid

Step-by-step explanation:

step 1

we know that

The area of the polygon can be decomposed into one rectangle and two triangles

see the attached figure N 1

therefore

Te area of the composite figure is equal to the area of one rectangle plus the area of two triangles

so

A=(8)(4)+2[\frac{1}{2}((8)(4)]=32+32=64\ yd^2

step 2

we know that

The area of the polygon can be decomposed into one triangle and one trapezoid

see the attached figure N 2

therefore

Te area of the composite figure is equal to the area of one triangle plus the area of one trapezoid

so

A=\frac{1}{2}(8)(4)+\frac{1}{2}((4+8)(8)=16+48=64\ yd^2

7 0
3 years ago
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