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Andreas93 [3]
3 years ago
7

Find the gradient and the coordinates of the y - intercept for the graph: y= 4 + 2x

Mathematics
2 answers:
LiRa [457]3 years ago
8 0
Well gradient means "slope" I just found out from searching the web.
First let's put y = 4 + 2x into slope intercept form of y = mx + b
y = 2x + 4
"m" is the slope, in this equation it would be 2.
The slope or "gradient" is 2.

The y-intercept of any equation in slope intercept form is the value of "b"
In this equation, the y-intercept is 4.
poizon [28]3 years ago
7 0
Y = 2x + 4 is in the form of y = mx + b, where m is the gradient and b is the y-intercept.

y = 2x + 4
y = mx + b

m = gradient = 2
b = y-intercept = 4

The gradient is 2.
The y-intercept is 4.
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Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
Write the quadratic function in vertex form, then identify the vertex
34kurt

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

8 0
3 years ago
An adult elephant eats about 300 pounds of food a day.Write an expression to represent the number of pounds of food a herd of 12
oksano4ka [1.4K]
300*5=1500(12)=18,000 pounds of food
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Elena L [17]

Highest Common factor of 12, 16 and 48 is 4

8 0
2 years ago
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