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3 years ago

Gradient and y intercept coordinates of x=6+2y

Mathematics

1 answer:

inn [45]3 years ago

8 0

Slope : 1/2
y - intercept: -3
gradient is just another word for slope

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PLEASE HELP!!

erik [133]

$2.=c.\\\\2\sin4x\cos4x=2\sin(2\cdot4x)=2\sin8x\\\\Used:\\\sin2\alpha=2\sin\alpha\cos\alpha$

$1.=b.\\\\\csc x-\sin x=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{\cos^2x}{\sin x}\\\\=\dfrac{\cos x\cos x}{\sin x}=\cos x\cdot\dfrac{\cos x}{\sin x}=\cos x\cot x\\\\Used:\\\csc x=\dfrac{1}{\sin x}\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\\cot x=\dfrac{\cos x}{\sin x}$

$3.=a.\\\\\dfrac{\sin x-1}{\sin x+1}=\dfrac{\sin x-1}{\sin x+1}\cdot\dfrac{\sin x+1}{\sin x+1}=\dfrac{\sin^2x-1^2}{(\sin x+1)^2}=\dfrac{\sin^2x-1}{(\sin x+1)^2}\\\\=\dfrac{-(1-\sin^2x)}{(\sin x+1)^2}=\dfrac{-\cos^2x}{(\sin x+1)^2}\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x$

8 0

2 years ago

Please help on 7 to be marked the brainliest

sweet [91]

Answer:

D) 3.57%

Step-by-step explanation:

The percentage change is given by ...

percent change = ((new value) -(old value))/(old value) × 100%

= (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%

When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.

7 0

2 years ago

Find a simplified expression to represent the area of the triangle. The area formula for a triangle is bh, where b is the base a

snow_tiger [21]

Answer:4x^2+22x-12

Step-by-step explanation:

height=(2x+12)

base=(4x-2)

Area of =(base x height)/2

Area of =((4x-2)(2x+12))/2

Area of =(8x^2+48x-4x-24)/2

Area of =(8x^2+44x-24)/2

Area of =4x^2+22x-12

6 0

3 years ago

Read 2 more answers

Line g is shown on the graph.

bogdanovich [222]

The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.

<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>

Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:

Slope = m = change in y / change in x

y-intercept = b (the value of y when x = 0).

The coordinates of the two points on line g is given as:

(-3, 2) = (x1, y1)

(0, 5) = (x2, y2).

Find the slope (m) of the line:

Slope (m) = (5 - 2)/(0 - (-3))

Slope (m) = 3/3

Slope (m) = 1.

Y-intercept (b) = 5

Substitute m = 1 and = 5 into y = mx + b:

y = x + 5

The equation of the line in slope-intercept form is: y = x + 5.

Learn more about the slope-intercept equation on:

brainly.com/question/1884491

#SPJ1

5 0

1 year ago

Calvin's rug covers 1/8 of the floor space in his bedroom how much floor space would be covered if Calvin had four rugs of that

djverab [1.8K]

Answer:

I dont really know what this is asking but i think it would be 4/8 or 1/2

Step-by-step explanation:

Im sorry if its wrong

7 0

2 years ago