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Luba_88 [7]
3 years ago
13

Substitute * x=2y+9 14x+2y=-54

Mathematics
2 answers:
TEA [102]3 years ago
5 0

Answer:

<h2>• x=2y+9</h2>

Find the x-intercepts.

x-intercept(s):

(9,0)

Find the y-intercepts.

y-intercept(s):

(0,−9/2)

List the intersections.

x-intercept(s):

(9,0)

y-intercept(s):

(0,−9/2)

<h2>• 14x+2y=-54</h2>

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s):

(−27/7,0)

y-intercept(s):

(0,−27)

Step-by-step explanation:

Hope it is helpful....

artcher [175]3 years ago
3 0
Okay uh

x = 2y + 9
14x + 2y = - 54

14x + 2y = - 54
14(2y + 9) + 2y = - 54
28y + 126 + 2y = -54
30y + 126 = -54
- 126 -126
30y = -180
30y/30 = -180/30
y = -6

x = 2y + 9
x = 2(-6) + 9
x = -12 + 9
x = -3

(x, y) = (-3, -6)
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Please help me! 15 points
arsen [322]

Answer:

a. The length of FA is 1.

b. The length of the radius (AC) is 2.

c. The circumference of the circle A is 4π units.

d. The measure of the minor arc BC is 107°.

e. The length of the minor arc BC is (107/90) π.

f. The m<BFC and m<EFD is 125.5°.

g. The m<BFE is 180°.


Step-by-step explanation:

Radius: R=AB=2

FC=1

Arc CD = 180°

Minor arc BD = 73°

Minor arc EC = 36°


a. What is the length of FA?

FA=AC-FC

AC is a radius, then AC=AB→AC=2

Replacing in the known values in the equation above:

FA=2-1

FA=1


b. What is the length of the radius (AC)?

The radius AC must be equal to the radius AB, then:

AC=AB→AC=2


c. What is the circumference of the circle A?

Circunference of circle A: L=?

L=2 π R

L=2 π (2)

L=4π


d. What is the measure of the minor arc BC?

Minor arc BC = arc CD - Minor arc BD

Minor arc BC = 180°-73°

Minor arc BC = 107°


e. What is the length of the minor arc BC?

Length of minor arc BC: l=?

l=(Minor arc BC / 360°) L

l=(107°/360°) 4π

l=(4*107/360) π

l=(107/90) π


f.  What is the m<BFC and m<EFD

<BFC and <EFD are interior angles, then:

m<BFC = m<EFD = ( Minor arc BC + Minor arc DE) / 2

Minor arc DE = arc CD - Minor arc EC

Minor arc DE = 180°-36°

Minor arc DE = 144°

m<BFC = m<EFD = ( 107° + 144° ) / 2

m<BFC = m<EFD = ( 251° ) / 2

m<BFC = m<EFD = 125.5°


g. What is the m<BFE?

<BFE is a straight angle, then m<BFE=180°





8 0
3 years ago
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