10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file​

Answer:

B

Step-by-step explanation:

√((-20)²+21²)=√(400+441)=√841=29

cos θ=-20/29

sec θ=-29/20

Answer:

the number of students is 80

Answer:

[tex] \displaystyle4 \: \text{hours}[/tex]

Step-by-step explanation:

we are given that,

let the hours be h

from the first condition we obtain:

[tex] \displaystyle 82[/tex]

from the second condition we ge:

[tex] \displaystyle 82+ 55h[/tex]

from the final condition we acquire:

[tex] \displaystyle 82 + 55h \leqslant 300[/tex]

to figure out the hour we have to solve the equation to do so

cancel 82 from both sides:

[tex] \displaystyle 55h \leqslant 215[/tex]

divide both sides by 55:

[tex] \displaystyle h \leqslant 3.9636 \dots[/tex]

since 3.96.... is very close to 4 he can maximum afford 4 hours of labor

[tex] \displaystyle h = 4[/tex]

refer the attachment

Step-by-step explanation:

Y/-7= -7

Cross multiple

-7× -7 =Y

49 =Y

Answer:

y = 49

Step-by-step explanation:

y ÷ - 7 = - 7

y ÷ - 7 × - 7 = - 7 × - 7

y = 49

Answer:

x=2. or. x=8

Step-by-step explanation:

x^2-10x+16=0. s=-10

x^2-8x-2x+16=0. p=16

x(x-8)-2(x-8)=0. [-8,-2]

(x-2)(x-8)

x=2. or. x=8

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

[tex]\frac{BA}{BC}=\frac{AD}{DC}[/tex]

Substitute,

[tex]\frac{x}{6}=\frac{2}{3}[/tex]

Cross products,

[tex]3(x)=2(6)[/tex]

Simplify,

[tex]3x=12[/tex]

Inverse operations,

[tex]3x=12\\\\x = 4[/tex]

Answer:

parallel = same slope (-2x)

so it's y=-2x + b

let's find b by plugging in 1 for x and 3 for y (the coordinates)

3 = -2*1 + b

3 = -2 + b

5 = b

there you have it:

y = -2x +5

brainliest would really be appropriated (possible when someone else also leaves an answer)

Answer:

Step-by-step explanation:

Answer:

(2x²+6x-22) ft

Step-by-step explanation:

l = (x²+2x-16) ft

and w = (x+5) ft

the Perimeter =

2(x²+2x-16) +2(x+5)

= 2x²+4x-32+2x+10

= 2x²+6x-22

Step-by-step explanation:

cotA + tanA

= cosA / sinA+ sinA/ cosA

= cos2A + sin2A / sinA* cosA

= 1 / sinA* cosA

=1/ sinA * 1/ cosA

= cosecA *secA

=secAcosecA

[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:

Step-by-step explanation:

cotA + tanA = secAcosecA

LHS=cotA + tanA

=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]

take lcm of the denominator

=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)

=[tex]\frac{1}{sinAcosA}[/tex]

=1/sinA * 1/cosA

=cosecA*secA

=secAcosecA

therefore LHS=RHS

hence proved.

Answer:

Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.

In mathematical terms,  

X

∼

P

o

i

s

s

o

n

(

2

)

.

The PMF of the random variable X is given as,

P

(

X

=

x

)

=

e

−

2

×

2

x

x

!

f

o

r

x

=

0

,

1

,

2

,

.

.

.

.

.

=

0

E

l

s

e

w

h

e

r

e

The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,

P

(

X

≤

3

)

=

P

(

X

=

0

)

+

P

(

X

=

1

)

+

P

(

X

=

2

)

+

P

(

X

=

3

)

=

e

−

2

×

2

0

0

!

+

e

−

2

×

2

1

1

!

+

e

−

2

×

2

2

2

!

+

e

−

2

×

2

3

3

!

=

0

.13534

+

0

.27067

+

0

.27067

+

0

.18045

=

0

.85712

Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:

Answer:

c is the answer

Step-by-step explanation:

Graphs really aren't my thing but I really feel like it is c

GOOD LUCK HOPEFULLY YOU GET A GOOD GRADE

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

Answer:

d(2d-7)

Step-by-step explanation:

2d^2 -7d

take common

=d(2d-7)

[tex] \large \boxed{ \rightarrow d(2d - 7)}[/tex]

[tex] \rightarrow2d {}^{2} - 7d[/tex]

[tex] \rightarrow d(2d - 7)[/tex]

[tex] \mathfrak{hope \:it \: helps \: you.....}[/tex]

Step-by-step explanation:

I can read your mind you know

just ask me how

and see the magic

think of any number,

add it by 3 then by 5 then by 1.

multiply it by two

divide it by two

subtract the first number you thought of from your current number

your answer will be 9

I'm I correct ?

Answer:

2 x 3 = 6 + 4 = 10 squared = 100

Step-by-step explanation:

The square of a number is the number that can be multiplied by itself to get that specific number, for example 10 x 10 = 100

Answer:

y=-5/9

Step-by-step explanation:

it says 9y=-5

divide both sides by 9

y=-5/9

Answer:

y = -12x + 3

Step-by-step explanation:

The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:

y = mx + b

y = -12x + 3

gradient = 12-4 ÷0-(-4)=8÷4=2

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)

m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2

The phrase in the original question is:

....if they lost 12 games......

not

....if they lost board games......

Answer:

36 games won

Step-by-step explanation:

Given

[tex]\%Win = 75\%[/tex]

[tex]Lost = 12\ games[/tex]

Required

Number of games won

Give that: [tex]\%Win = 75\%[/tex]

The percentage loss is:

[tex]\%Loss = 100\% - \%Win[/tex]

So, we have:

[tex]\%Loss = 100\% - 75\%[/tex]

[tex]\%Loss = 25\%[/tex]

Calculate the number of games (n) using:

[tex]Lost = \%Loss * n[/tex]

[tex]12 = 25\% * n[/tex]

Make n the subject

[tex]n = \frac{12}{25\%}[/tex]

[tex]n = 48[/tex]

So, the games won is:

[tex]Win = n - Lost[/tex]

[tex]Win = 48 - 12[/tex]

[tex]Win = 36[/tex]

Answer:

[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]

Answer:

(30, ∞)

Step-by-step explanation:

b – 27 > 3

Add 27 to both sides

b > 30

In interval notation

(30, ∞)

Answer:

(30,∞ )

Step-by-step explanation:

b> 27+3

b> 30

Answer:

x = 60

Step-by-step explanation:

The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.

Answer:

He should study for at least 88 minutes

Step-by-step explanation:

The missing parameters are:

[tex]y = 0.36805x + 42.6864[/tex] --- equation of trend

[tex]y \to grade[/tex]

[tex]x \to time[/tex]

Required

x when [tex]y = 75[/tex]

[tex]y = 0.36805x + 42.6864[/tex] becomes

[tex]75 = 0.36805x + 42.6864[/tex]

Collect like terms

[tex]0.36805x = 75 - 42.6864[/tex]

[tex]0.36805x = 32.3136[/tex]

Solve for x

[tex]x = \frac{32.3136}{0.36805}[/tex]

[tex]x = 87.80[/tex]

[tex]x \approx 88[/tex]

can you please put the equation so i can answer it?

thank you!

Answer:

1 + 1 = 1 is the correct answer ok

Answer:

1+1 is 2 it is wrong here in explanation it is good way to solve

Step-by-step explanation:

take 1 finger and 1 more finger how much is it 2 ! ok so bye do good work !!!

Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = [tex]\frac{Area}{length}[/tex]

             [tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]