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RUDIKE [14]
3 years ago
12

Write the equation of a line in slope intercept form that has a slope of 7/4 and a point at (0,-3)

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0

Answer:

y=7x/4-3

Step-by-step explanation:

We can use the formula y=mx+b. m=slope so y=7/4x+b. We know that the line intersects the point (0,-3) so we plug it in, x=0 and y=-3. -3=(7/4)*0+b. b=-3. Therefore, the equation is y=7x/4-3.

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PLEASE HELP! Answer quickly for points!! There are 5 times as many tomato plants as there are cucumber plants. The number of pep
miskamm [114]
Let x= cucumber plants
5x= tomato plants
6x+7= pepper plants
peppers = 19 
therefore
6x+7=19
subtract 7 from both sides
6x= 12
 divide both sides by 6
x=2
replace the x with 2

2= cucumber plants
10= tomato plants

hope this helps
3 0
3 years ago
What is the area of the triangle in the diagram?
Vladimir [108]

1/2sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

The area of a triangle is equal to 1/2bh (one half base times height). Since this is a right triangle, the base and height are the two legs connected to the 90* angle. To find the values of these sides, we will use Pythagorean Theorem, root a squared plus b squared.

Short leg: <x(1),y(1)>

This leg can be seen as the hypotenuse of an invisible right triangle. The x value, x(1), is how far over the x value has gone from the origon at x=0. Imagine a leg alone the x-axis, going from (0,0) to (x(1),0). The y value of the point, y(1), works the same way. This leg will go from our previous mark at (x(1),0) to the point (x(1),y(1)). This shows that the short leg of the main triangle is the hypotenuse, with a height of y(1) and base of x(1). Pythagoreum Theorem shows that the length of this leg is equal to sqrt(x_1^2+y_1^2).

Long leg: <x(2), y(2)>

The same process works here, giving us sqrt(x_2^2+y_2^2).

Now for the area, we have the b and h values. Our equation reads 1/2sqrt(x_1^2+y_1^2)sqrt(x_2^2+y_2^2).

But we can simplify this (yay). The two square roots can be written together as sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

So the correct answer is 1/2sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

5 0
3 years ago
Read 2 more answers
An arithmetic
Sunny_sXe [5.5K]

Answer:

an = 7.5 - 5.5(n - 1).

Step-by-step explanation:

The common difference d = -5.5.

The first term is given as 7.5.

Explicit formula is

an = a1 + (n - 1)d

= 7.5 + (n - 1)-5.5

= 7.5 - 5.5(n - 1)

8 0
3 years ago
What is -3root2 x 3root2?<br> Pls help ASAP
VikaD [51]

Answer:

-18

Step-by-step explanation:

-3 √2 * 3 √2

= -9 * (√2)²

= -9 * 2

= -18

Hope this answer was helpful!!

Regards...

5 0
3 years ago
The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
andreev551 [17]

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

4 0
3 years ago
Read 2 more answers
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