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3 years ago

Question: Find the Vertex 3. y= x*2+ 18х - 75 a) (-6,9) b) (9,-6) c) (9,6)

Mathematics

2 answers:

ryzh [129]3 years ago

8 0

Answer:

Answer :A. Vertex (9, 6)

AveGali [126]3 years ago

3 0

Is that a multiple sign between the x and 2?

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A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

2 years ago

The answer ............

suter [353]

Answer:

f^-1(x) = ( x + 6 )/4

Step-by-step explanation:

f(x) is the same as...y = 4x + 6....and then try to make x the subject of formula

y + 6 = 4x

x = (y + 6)/4....then when writing f^-1(x)...replace y with x

f^-1(x) = ( x + 6 )/4

3 0

3 years ago

0.15% of what number is 10.5?

mario62 [17]

Answer:

67667.7

Step-by-step explanation:

let the number= Y

the question simply means that 0.15 percent of Y which give 10.5

so, let find Y:

0.15% of Y 10.15

<h3>Stating the mathematical equation</h3>

0.15/100×y = 10.15

0.0015y= 10.15

divide bothsides by 0.0015

0.0015y/0.0015= 10.15/0.0015

y=6766.66

y= 6766.7 approximately

<h3>therefore, 0.15% of 6766.7 is 10.5</h3>

8 0

2 years ago

What percent of $900 equals 810?? Show what you did!!

KIM [24]

Answer:

x% of $900=$810

x/100×$900=$810

x=$810/9=90% required percentage is 90%.

6 0

2 years ago

Read 2 more answers

Help please I’m just not good at this and. Get really confused when putting things in standard form. Use two points on the line

frez [133]

Answer:

From the graph, the slope is -4/5 and the y-intercept is 4 so the slope-intercept equation is y = -4/5x + 4. To convert to standard form we'll do:

y = -4/5x + 4

5y = -4x + 20

4x + 5y = 20

7 0

2 years ago