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fenix001 [56]
2 years ago
5

Write an equation in slope-intercept form of the line that passes throught the point and given slope:

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
6 0
 y = mx + b
5 = 12(-3) + b
5 = -36 + b
b = 41

y = -3x + 41
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John sent 1,302 text messages in 6 weeks, How many texts was he sending per week (At what rate was he sending texts per week)?​
Llana [10]

Answer:

217 text messages

Step-by-step explanation:

1302/6 = 217

3 0
2 years ago
Read 2 more answers
Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...
Vadim26 [7]

Answer:

an = 12 -7(n-1)

an = 19-7n

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

an = a1 +d(n-1) where a1 is the first term and d is the common difference

a1 =12

We find d by taking the second term and subtracting the first term

d = 5-12

d = -7

an = 12 -7(n-1)

We can simplify this

an = 12 -7n+7

an = 19-7n

4 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION. please and thank you
Ahat [919]

Associative property moves the parenthesis

Choice B

6 0
2 years ago
Maya shaved her head and then began letting her hair grow. She represents the length \ellℓell of her hair, in centimeters, mmm m
Zarrin [17]

Answer:

Maya's hair grows at the rate of 1.25cm per month

Step-by-step explanation:

After Maya shaved her hair,

She monitored the growth and recorded the length of the hair monthly in centimeters using the equation ell=1.25mℓ=1.25mell

Therefore, since the length of hair is recorded on a monthly basis, 1.25 in the equation refers to the rate of growth as measured by the length of hair per month.

4 0
3 years ago
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
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