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2 years ago

Im kinda confused on this. i need help.

Mathematics

2 answers:

RideAnS [48]2 years ago

4 0

Given :-

A graph is given to us .

To Find :-

The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

$\sf\longrightarrow$ y intercept = 5 .

$\sf\longrightarrow$ slope = 5/2 .

Now here we can use the slope intercept form as ,

$\sf\longrightarrow$ y = mx + c

$\sf\longrightarrow$ y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

butalik [34]2 years ago

3 0

Answer:

y= 5/2x+5

Step-by-step explanation:

For an equation in slope intercept form we need the slope and the y-intercept. To find the y-intercept just look at which point touches the y-axis which is (0,5). To find the slope the equation is y2-y1 / x2-x1. We take two points that passes through the line like (-2,0) and (0,5). We plug the numbers in the equation which will be 5-0/ 0-(-2) = 5/2 as our slope.

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Answer please!! It's due tomorrow

Alex

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

$\tan C = \frac{DF}{CF}$ (1)

( $C = 61^{\circ}$ , $CF = 24$ )

$DF = CF\cdot \tan C$

$DF = 24\cdot \tan 61^{\circ}$

$DF \approx 43.297$

(ii) Determine the length of the line segment DE by trigonometric relations:

$\tan F = \frac{DE}{DF}$ (2)

( $DF \approx 43.297$ , $F = 19^{\circ}$ )

$DE = DF\cdot \tan F$

$DE = 43.297\cdot \tan 19^{\circ}$

$DE \approx 14.908$

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

$\sin Z = \frac{XY}{XZ}$ (3)

( $XY = 15$ , $Z = 25^{\circ}$ )

$XZ = \frac{XY}{\sin Z}$

$XZ = \frac{15}{\sin 25^{\circ}}$

$XZ \approx 35.493$

(ii) Calculate the measure of the angle W by trigonometric relations:

$\tan W = \frac{XZ}{WZ}$ (4)

( $XZ \approx 35.493$ , $WZ = 22$ )

$W \approx \tan^{-1} \left(\frac{22}{35.493}\right)$

$W \approx 31.792^{\circ}$

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

$\cos \theta = \frac{x}{l}$ (5)

Where:

$\theta$ - Angle of the ladder above ground, in sexagesimal degrees.

$x$ - Distance between the foot of the ladder and the base of the wall, in feet.

$l$ - Length of the ladder, in feet.

If we know that $x = 6\,ft$ and $\theta = 75^{\circ}$ , then the length of the ladder is:

$l = \frac{x}{\cos \theta}$

$l = \frac{6\,ft}{\cos 75^{\circ}}$

$l \approx 23.182\,ft$

The length of the ladder is approximately 23.182 feet.

8 0

3 years ago

I need help may you help me Given

Kobotan [32]

sure what is it u need help with su

6 0

4 years ago

Read 2 more answers

The perimeter of a rectangle is 98 m. The length of the rectangle is 9 m more than four times the width. Find the dimensions of

Olenka [21]

P=98 m

l +9=4w

p=2l+2w

98=2(4w-9) +2w

98 = 8w-18+2w

116=10w

w=11,6 m

l = 4w-9 = 4*11,6 -9 = 46,4 -9 = 37,4 m

w=11,6 m
l= 37,4 m

3 0

3 years ago

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

borishaifa [10]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2 \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5$

6 0

3 years ago

What is the area of this figure?

NNADVOKAT [17]

Answer:

Step-by-step explanation:

S(blue) = S(Whole) - S(cut part)

S(blue) = 7*11 - 5*5 = 77 - 25 = 52

6 0

3 years ago

Im kinda confused on this. i need help.​

Im kinda confused on this. i need help.