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lbvjy [14]
3 years ago
15

Determine whether the point (1, 5) is a solution to the system of equations. Explain your reasoning in complete sentences.

Mathematics
2 answers:
lawyer [7]3 years ago
6 0
In this case the two equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution<span> to the </span>system of equations<span>. since (1,5) is not an intersection of the two lines then it is not a solution to the systems of equation</span>
Harman [31]3 years ago
3 0

Answer:

(1,5) is not a solution to the system of equations

Step-by-step explanation:

To find the point (1, 5) is a solution to the system of equations.

We look at the intersection of both graphs given

Both graphs intersects at (0,2)

Intersection of two graphs is the solution of system of equations

Two graphs intersects at (0,2). so (0,2) is the solution of system of equations

(1,5) is not a solution to the system of equations


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What is the measure of minor arc BD?
Vaselesa [24]

Answer:

minor\ arc\ BD=100^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle

so

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

so

m\angle BAC=m\angle DAC

Find the measure of angle BAC

In the right triangle ABC

m\angle BAC+m\angle BCA=90^o

substitute given value

m\angle BAC+40^o=90^o

m\angle BAC=90^o-40^o=50^o

Find the measure of angle BAD

m\angle BAD=2m\angle BAC

m\angle BAD=2(50^o)=100^o

Find the measure of minor arc BD

we know that

minor\ arc\ BD=m\angle BAD -----> by central angle

therefore

minor\ arc\ BD=100^o

8 0
3 years ago
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How do you do fraction
MakcuM [25]

Answer:

Step-by-step explanation:

7 0
3 years ago
Triangle P R Q is shown. The length of side P R is 5 n. The length of side R Q is 32 + n. Angles R P Q and P Q R are congruent.
snow_tiger [21]

Answer:

<h3>20</h3>

Step-by-step explanation:

According to Triangle P R Q, if  angles R P Q and P Q R are congruent, this means that two of the sides of the triangle a re also congruent (Isosceles triangle).

We can say then that length of side PR is equal to that of RQ i.e PR = RQ

Given

PR = 5n

RQ = 32+n

Required

Length of PR

Since the two sides are equal i.e PR = RQ

5n = 32+n

5n - n = 32

4n = 32

n = 32/8

n = 4

Get PR;

Since PR = 5n

PR = 5(4)

PR = 20

Hence the length of PR is 20.

6 0
2 years ago
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Solve the simultaneous equations
Black_prince [1.1K]

Answer:

Step-by-step explanation:

4x + 3y = 24

4x - y = 8

4x + 3y = 24

-4x + y = -8

4y = 16

y = 4

4x - 4 = 8

4x = 12

x = 3

(3, 4)

8 0
2 years ago
A new cookie cake company is offering a
gtnhenbr [62]

Answer:

200.96in^2

Step-by-step explanation:

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Second cookie cake's diameter is 16".

Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.

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A= (3.14)(64)

A=200.96

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pi= 3.14 *for this problem

7 0
3 years ago
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