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3 years ago

Product of (5 + a) and ( -5 + a ) is ......

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

4 0

Answer:

a^2 - 25.

Step-by-step explanation:

(5 + a)(-5 + a)

= -25 + 5a - 5a + a^2

= a^2 - 25.

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F(x)=3x-7 find the value of c so that f(c) =20 is true

Andreas93 [3]

Answer:

c = 9

Explanation:

given: f(x)=3x-7

if f(c) =20

To solve this replace x with c and then y is 20.

Solve:

3c - 7 = 20

3c = 27

c = 27 ÷ 3

c = 9

7 0

1 year ago

Read 2 more answers

HELP ASAP!! What’s the answer to this? (with steps)

Goshia [24]

Answer:

x = 13.5°

Step-by-step explanation:

Angles 2 + 3 = a straight line, so 180°

180 - 66 = 114 = angle 2

114 = 10x - 21

114 + 21 = 10x

135 = 10x

135 / 10 = x

13.5 = x

3 0

3 years ago

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

2 years ago

Marcus is traveling from Rome to Capua on the Via Appia (a 132 mile journey). His horse and cart travels at 8 mph. How long will

nalin [4]

Answer: 16.5 hours

Step-by-step explanation:

distance=rate*time

132=8*x

Divide by 8 on both sides

x=16.5

6 0

2 years ago

What would the answer to this question be? A. 40° B. 60° C. 80° D. 100°

Alex777 [14]

Answer:

D. 100°

Step-by-step explanation:

A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.

50 + 30 = 80

180 - 80 = 100

8 0

2 years ago

Read 2 more answers

Product of (5 + a) and ( -5 + a ) is ......​

Product of (5 + a) and ( -5 + a ) is ......