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2 years ago

Find the solution to the system of equations by using graphing or substitution y=2x-1 and y=x+3

1 answer:

7 0

Lets use substitution, since there isn't any graphing method here.

y= x + 3
y = 2x - 1

x + 3 = 2x - 1
-x -x

x - 1 = 3
+1 +1

x = 4

Now solve for y

y = 2(4) - 1
y = 8 - 1
y = 7

We have the solution: (4,7)

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1- Tickets cost £18.50 to a music gig. The band sells 189 tickets and the

Elden [556K]

Answer:

The answer is £ 496

Profit ( P) = Selling price (S) - Cost price ( C)

From the above question

Cost price = £3000

To find the selling price multiply the price of one ticket by the number of tickets sold

That's

Selling price = £18.50 × 189 = £3496

So now

Profit = £3496 - £3000 = £ 496

Hope this helps you

5 0

3 years ago

An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

2 years ago

WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the

iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

$d=\sqrt{h^2+k^2}$

Distance of P from ( -3, 4 ) :

$d=\sqrt{(h+3)^2+(k-4)^2}$

Now , these distance are equal :

$h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2$

Solving above equation , we get :

$P=(\dfrac{16}{21},\dfrac{23}{7})$

Hence , this is the required solution.

6 0

2 years ago

(3x+13)(5x+9) vertical angles

matrenka [14]

Answer:

(8x+22)

Step-by-step explanation:

8 0

2 years ago

What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10?

mafiozo [28]

Answer:

S=4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers