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3 years ago

5. Write an equation for a line with slope of -2/3 and y-intercept 4.

Mathematics

1 answer:

RSB [31]3 years ago

5 0

Answer:

y = -2/3x + 4

Step-by-step explanation:

In the y = mx + b form, the slope is represented by m and the y-intercept is represented by b.

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This change will cause equilibrium Price and Quantity to

Annette [7]

C ) price Decrease and quantity decrease

6 0

3 years ago

Given a+b=7 and a-b=3, find the following<br><br> 3^a÷3^b

gulaghasi [49]

Answer:

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

3 0

2 years ago

Area of a regular hexagon with an apothem of 15 cm

Anton [14]

Answer:

area = 779.4 cm²

Step-by-step explanation:

divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.

tan 60° = 15/x

1.7321 = 15/x

x = 8.66 (this is one-half of the base of the triangle)

base = 17.32 cm

area of one triangle = 1/2(17.32)(15) = 129.9 cm²

129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)

8 0

3 years ago

Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t

mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=23$

Total number of shirts finished by Laura $=23$

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in $t$ hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina $=2t+15$

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura $=3t+11$

Therefore,

$2t+15=3t+11\\3t-2t=15-11\\t=4$

So,

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=2(4)+15=8+15=23$

Total number of shirts finished by Laura $=3(4)+11=12+11=23$

6 0

3 years ago

In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. it measured 50 centimeters tall and 90 cen

slavikrds [6]

Y=-2/81x^2+50 is the answer

7 0

3 years ago

Read 2 more answers