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4 years ago

Pleeeeeeeeeease

Mathematics

1 answer:

xxMikexx [17]4 years ago

7 0

Answer:

The final equation is $y = \frac{4}{3}x - \frac{16}{3}$

Step-by-step explanation:

The slope of the line CB where, C(0,3) and B(12,-6) will be

$M = \frac{- 6 - 3}{12 - 0} = - \frac{3}{4}$

Now, if the line perpendicular to the line CB has slope N, then M × N = - 1

⇒ $N = \frac{4}{3}$ {Since $M = - \frac{3}{4}$ }

Now, equation of the straight lines which are perpendicular to CB will be in slope-intercept form

$y = \frac{4}{3}x + c$ {Where, c is the y-intercept}

If this straight line passes through the point (7,4), then

$4 = \frac{4}{3} \times 7 + c$

⇒ 12 = 28 + 3c

⇒ 3c = - 16

⇒ $c = - \frac{16}{3}$

Therefore, the final equation is $y = \frac{4}{3}x - \frac{16}{3}$ (Answer)

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Can i get help? Don’t really understand.

Rufina [12.5K]

First option: correct. This is because angles WOX and XOZ are supplementary, so

$m\angle WOX=180^\circ-104^\circ=76^\circ$

Second option: correct. By the inscribed angles theorem, we have

$m\angle XWZ=m\angle XYZ=\dfrac{113^\circ}2=56.5^\circ$

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.

Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

$\dfrac{m\widehat{WY}+113^\circ}2=104^\circ\implies m\widehat{WY}=95^\circ$

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.

Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

$\dfrac{m\widehat{WX}+m\widehat{YZ}}2=m\angle WOX\implies m\widehat{WX}+m\widehat{YZ}=2\cdot76^\circ=152^\circ$

4 0

3 years ago

F(x)=3/2(x-2)^2-24 <br>put this in standard form

gregori [183]

Answer:

f(x) = 3x^2 - 12x - 36.

Step-by-step explanation:

f(x) =3 /2(x - 2)^2 - 24

f(x) = 3/2 (x^2 - 4x + 4) - 24

f(x) = 3/2 x^2 - 6x + 6 - 24

f(x) = 3/2 x^2 - 6x - 18

Multiply through by 2:

f(x) = 3x^2 - 12x - 36.

6 0

3 years ago

90 POINTS I need help ASAP on everything but part A (WILL GIVE BRAINLIEST) Roller Coaster Crew Ray and Kelsey have summer intern

maxonik [38]

Answer:

Part A) Kesley is correct

Part B) g'(x)=3x2-2x-4

Part C) Graph attached

Part D) Explained

Step-by-step explanation:

Part A)

Kelsey is correct because no. of 0s in a 3rd degree polynomial be 3. which means the no. of intercepts will be 3. Thus Ray is incorrect as no. of 0s and x-intercept are similar thing.

Further a graph is attached of g(x) = x3 − x2 − 4x + 4 to describe the key features of g(x), including the end behavior. We can see that there are 3 x-intercepts at (2,0), (1,0) and (-2,0) which validates the point of Kelsey that the function can have as many as 3 zeros only because it is 3rd degree polynomial.

Part B)

As the second part of the new coaster is a parabola. To create a unique parabola in the pattern f(x) = ax2 + bx + c

finding derivative of g(x) picked in Part A) i.e.

g(x) = x3 − x2 − 4x + 4

g'(x)=3x2-2x-4

Graph of above is also attache.

From the graph we can see that its downwards directed parabola having vertex at (0.33, -4.33)

x-intercept at -0.87 and 1.53

y-intercept at (0,-4)

The axis of symmetry equation is a vertical line around which the parabola is symmetric is given by equation of a vertical line that passes through the vertex i.e. x=0.33

Part C)

Graph 3 is also attached.

Part D)

For a 15 seconds ad campaign, following features can be included:

Roller coaster that have a three rise

two sharp dips

the 2nd dip goes more deeper than the first one!

6 0

3 years ago

I’m confused on this one

Softa [21]

Since ABCD is a square, this means all sides are equilateral. So just write the equation 2x - 14 = x + 15. Convert this equation to 2x - x = 15 + 14 --> x = 29.

4 0

3 years ago

Read 2 more answers

Which point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5

son4ous [18]

Answer:

y + 2 = - $\frac{4}{5}$ (x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - $\frac{4}{5}$ and (a, b) = (3, - 2), hence

y - (- 2) = - $\frac{4}{5}$ (x - 3), that is

y + 2 = - $\frac{4}{5}$ (x - 3)

3 0

4 years ago