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Tems11 [23]
3 years ago
5

A straight line passes through the origin and has a gradient of 4. Find the equation

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

y = 4x

Step-by-step explanation:

The slope is 4.

The line passes through (0, 0).

Equation of a line y = mx + b, m is the slope, and b is the y-intercept.

y = 4x + b

Put x and y as 0.

0 = 4(0) + b

0 = b

The y-intercept is 0.

The equation of the line is y = 4x.

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Solve with substitution. Show each step of your work<br><br> 4x + y = 12<br> 6x + 2y = 18
Svetach [21]
4x + y = 12
Get y by itself
Subtract 4x
y = -4x + 12

Since you know what y is, you can plug the value into the second equation

6x + 2(-4x + 12) = 18
6x - 8x + 24 = 18
-2x = -6
x = 3

Plug the value 3 into x for y = -4x + 12 in order to find y
-4(3) + 12 = y, y = 0

Solution: x = 3, y = 0
3 0
3 years ago
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zhenek [66]

Answer:

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Step-by-step explanation:

8 0
3 years ago
If A ⊂ B, then which of the following describes the relationship between A and B?
Ne4ueva [31]
Could you provide the answer choices please?
6 0
3 years ago
Someone Help Me Please!
Paul [167]

Answer:

5 + - 6

Step-by-step explanation:

Note a + (- b) = a - b, thus

5 + - 6 = 5 - 6 = - 1 < 0

Thus is a counter example to the sum of 2 numbers ≥ 0

6 0
3 years ago
I NEED HELP BEFORE 10:00 A.M!
s344n2d4d5 [400]

Answer:

A. = 20 in²

B. =  45 ft²

C. = 29.5 ft²

D. = 36 ft²

E. = 28 ft²

Step-by-step explanation:

A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²

B. We have a rectagnle and a triangle:  Formula: A = lw

=  A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²

30 ft²+15 ft² = 45 ft²

C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²

Second rectangle: 5 ft x 4 ft = 20 ft²

Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²

Add it all together:  2ft²+20ft²+7.5ft² = 29.5 ft²

D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²

the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²

E. is a right-angled triangle (see fromula above) =  (14 ft x 4 ft)/2 = 28ft²

7 0
3 years ago
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