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GREYUIT [131]
2 years ago
15

Find the value of p and the value of q

Mathematics
1 answer:
vlabodo [156]2 years ago
7 0

Answer:

p = 5 and q = -3

Step-by-step explanation:

nth term = pn^2 + qn   where n is the sequence number.

first term = p + q = 2.....................(1)

2nd term = p(2)^2 + 2n = 14

4p + 2q = 14

2p + q = 7  .......................(2)

Subtract equations  (2) -(1) :-

p = 7 - 2 = 5

and q = 2 - 5 = -3

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GenaCL600 [577]

Answer:

∡PQS = 35+14=49

Step-by-step explanation:

4 0
3 years ago
The area of a circle is 616cm find the radius​
Leokris [45]
<h3>Given :-</h3>

  • Area of Circle = 616 cm²

<h3>To Find :-</h3>

  • Radius of a circle = ?

<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \:  \: π \:  r \: ² \: }}}}}} \\\\

<u>Putting values in the formula;</u>

\\  \sf \implies \: Area \:  =  \: \pi \: r \:  ^{2}  \\

\\  \sf \implies \: 616 \:  =  \:\frac{22}{7}  \times  \: r \:  ^{2}  \\

\\  \sf \implies \: 616 \: \times  \: \frac{7}{22}  \:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \: \frac{ \:  \: 4312 \:  \: }{22}  \:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:  \cancel{\frac{ \:  \: 4312 \:  \: }{22}  }\:  =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:   \: 196 \:  \: =  \: \: r \:  ^{2}  \\

\\  \sf \implies \:  \:r \:  ^{2}  =    \: 196 \:  \:   \: \:  \\

\\  \sf \implies \:  \:r \:   =    \sqrt{ \: 196 \:  } \\

\\  \bf \implies \:  \:Radius  \:   =    14 \: cm \\

henceforth, the Radius of a circle is 14 cm ...!!

6 0
1 year ago
Read 2 more answers
Which equation represents a line passing through the point (8,33) with a slope of 3?
Delvig [45]

The slope intercept form of equation of required line is y = 3x + 9

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  \theta is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  tan\theta

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope = 3

The line passes through (8, 33)

Equation of required line

y - 33 = 3(x - 8)

y - 33 = 3x - 24

y = 3x - 24 + 33

y = 3x + 9

To learn more about equation of line in slope intercept form, refer to the link:

brainly.com/question/25514153

#SPJ1

6 0
1 year ago
For the suffering you can buy a 6 oz pack of suffering mix for $ $1.98 .The label says a serving size is 1/6 of the Package. If
Novosadov [1.4K]

Answer:

6... if the serving size is 1/6 of the package, that means it will serve 6 people

Step-by-step explanation:

8 0
3 years ago
Given the function f(x)=-2x+ 4x -7, find f(-4)
Sedaia [141]
F(x)=-2x+4x-7
f(x)=2x-7
now f(-4)=2(-4)-7=-8-7=-15
So it will be -15
5 0
3 years ago
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