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devlian [24]
3 years ago
5

What is the equation of the line that has a slope of -4 and goes through (-1,6)

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

y = - 4x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 6) into the partial equation

6 = 4 + c ⇒ c = 6 - 4 = 2

y = - 4x + 2 ← equation of line

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The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length
Nataly_w [17]

Answer:

  3 cm

Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

  k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

5 0
3 years ago
Prove the trig identity: (tanx/1+secx)+(1+secx/tanx)=2cscx
lakkis [162]
=[(sinx/cosx)/(1+1/cosx)] + [(1+1/cosx)/(sinx/cosx)]

=[(sinx/cosx)/(cosx+1/cosx)]+[(cosx+1/cosx)/(sinx/cosx)]

= [sinx/(cosx+1)] + [(cosx+1)/sinx]

= [sin^2x+(cosx+1)^2] / [sinx (cosx+1)]

= [2+2cosx] / [sinx(cosx+1)]

=[2(cosx+1)] / [sinx (cosx+1)]

= 2/sinx

= 2 cscx

(I think this will be helpful for you. if you can see the picture, it has more detail in it.)

7 0
3 years ago
One batch of walnut muffins uses 1 1/3 cups of walnuts. How many cups of
natali 33 [55]

Answer:

5 cups

I would appreciate Brainliest but no worries.

8 0
2 years ago
The base of a solid crate has an area of 6 square meters.The height of the crate is 4 meters. What is the volume of the crate?
professor190 [17]

Given is the base area of a solid crate, B = 6 square meters.

Given is the height of the solid crate, H = 4 meters.

We know the formula for volume of any solid is given as follows :-

(Volume of the solid) = (Base area of the solid) x (Height of the solid).

Volume = B x H.

Volume = (6 square meters) x (4 meters).

Volume = 24 cubic meters.

Hence, the volume of the solid crate would be 24 cubic meters.

6 0
3 years ago
Read 2 more answers
What is the surface area of a rectangular prism with square bases wirh measurements a= 5 cm ,b= 7cm
vazorg [7]

Answer:

190 cm^2

Step-by-step explanation:

There are 2 congruent square bases: 5 cm * 5 cm * 2 = 50 cm^2

There are 4 congruent rectangular sides: 5 cm * 7 cm * 4 = 140 cm^2

Total surface area: 50 cm^2 + 140 cm^2 = 190 cm^2

7 0
3 years ago
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