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algol [13]
3 years ago
15

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
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