please help me to solve this​

The first equation will be multiplied by 3 and that of the second by 4.

An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.

Given that are two equations to be solved by using elimination method,

-4x+4y = 32.....(i)

3x-y = 12......(ii)

To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4

-12x+12y = 96.....(iii)

12x-4y = 48....(iv)

Solving the equations, we get,

8y = 144

y = 18

Put y = 18 in eq (ii)

3x-18 = 12

3x = 30

x = 10

Hence, the first equation will be multiplied by 3 and that of the second by 4.

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Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio in the given triangle, we get

[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]

[tex]7=t[/tex]

Therefore, the value of t is 7 millimetres.

Answer:

Step-by-step explanation:

LHS = tanθ/secθ - 1 + tanθ/secθ + 1

Cross multiplication,

tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ

= tanθ(1 - secθ - 1 - secθ)/-tan^2θ

= -2secθ/-tanθ

= 2 x 1/cosθ / sinθ/cosθ

= 2cosecθ = RHS

Hence proved.

Answer:

6

Step-by-step explanation:

2x is x * 2

-2 * 2 = -4

2y is y * 2

5 * 2 = 10

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

-2 times 2 = -4

2 times 5 = 10

10-4 = 6

2x and 2y are Both Different terms.

Answer:

95.25 or 95

Step-by-step explanation:

[tex]C=2\pi r[/tex]

C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95

Hope I helped you my dear friend.

Answer:

20

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25[tex]b^{2}[/tex] + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25[tex]b^{2}[/tex]  = -(5)(5) * [tex]b^{2}[/tex]

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * [tex]b^{2}[/tex] +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

Step-by-step explanation:

Okay, let's do 88/9 = 9 R 7

The R7 will go in the small box, so 7 is your answer

Hope that helps! :)

-Aphrodite

Answer:

A(tomatos)

Step-by-step explanation:

So to sovle these, we have to look at the percentage chart, and take the percentage of each thing.

We know that divide these numbers by 100 gets us the amount we can multiply the total by, which gives us our answer.

So tomato is .3, cucumber is .15, peas are .45, and onion is .1.

Now, lets mutiply these nubmers by the 60 and see what we get:

.1*60

=

6

That seems correcdt for the onion

.45 * 60

=

27. That looks correct for peas.

.15 * 60

=

9 That looks correct for cucumber

.3*60

=

18. Thats not 20! So that must be the answer!

Hope this helps!

Answer:

The claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

Step-by-step explanation:

Since an online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine, and a random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet, to test the claim that less than 50% of Internet users get their health questions answered online, the following calculation must be performed:

1318 = 100

606 = X

606 x 100/1318 = X

60600/1318 = X

45.978 = X

Therefore, the claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

Answer:

true,false,false,true

Step-by-step explanation:

Answer:

a) T

b) F

c) F

d)T

Step-by-step explanation:

The equation for hyperbola with given foci is [tex]\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1[/tex]

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

[tex]\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1[/tex]

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is [tex](\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)[/tex]

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

[tex]\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1[/tex]

[tex]\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1[/tex]

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Answer:

C. 7.203

Step-by-step explanation:

I calculated it logically

The solution is, :  the missing value for the exponential function represented by the table below is 7.203.

Option c.,  7.203

Here, we have,

Exponential sequence is given as

21, 14.7, 10.29, ____, 5.0421

Explicit formula of the function is given by

a_n = a* r^(n-1)

when, we have,

a = first term = 21

r = common ratio

  = 14.7/21

  = 0.7

So the sequence will be

a_n = 21* 0.7^(n-1)

We have to find the forth term of the sequence

  a₄ = 21(0.7)³

      = 7.203

so, we get,

a₄ = 7.203

Option C. 7.203 is the answer.

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Answer:

(number of days)/7

Step-by-step explanation:

1 week = 7 days

Divide the number of days by 7 to find the number of weeks.

Answer:

B

Step-by-step explanation:

Answer:

option a is correct

Step-by-step explanation:

any square is also a rhombus

Answer:

First Row:

75/100

0.75

75%

Second Row:

10/100 (or 1/10)

0.10

10%

Step-by-step explanation:

Count the squares that are shaded in out of the 100.

Just divide the fraction together for the decimal.

Move the decimal two places to the right to get the percentage

Answer:

it's -4 i don't know what you mean by regrouping, sorry

Step-by-step explanation:

Answer:

45-49

=-4 ans!

this is the answer

Answer:

Your answer is B

Step-by-step explanation:

edge = V^1/3

edge = 216^1/3

Answer:

C. y=-5(x+5)^2-1125 i don't know is this is right

Answer: It’s D, y = -5 (x - 5)^2 + 1125

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

Answer:

a

Step-by-step explanation:

8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+

The integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data

The given integral is ∫1/√1 +(lnx) 2dx

= ∫1 +2(lnx)dx

Apply the sum rule

∫f(x)±g(x)=∫f(x)±∫g(x)

= ∫1dx +2∫(lnx)dx

=x+2(xln(x)-x)+c

=-x+2xln(x)+c

Hence, the integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c

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Answer:

B: 4 lb shrimp and 8 lb flounder

Step-by-step explanation:

if the price of shrimp is twice the price for flounder, you will have twice as much flounder as you have shrimp, so in terms the only answer that applies to this is B.

Yes, 13 is the remainder.

See dat pic for full solution.

The transformation in the graph is 1 units vertically downwards.

The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.

Let the function f(x) and g(x) are two real functions.

And  g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given:

The function f(x) = eˣ,

and the function g(x):

g(x) = f(x)-1= eˣ-1.

The graph of both the functions are given in the attached images.

For the base function f (x) and a constant k, the function given by

The transformations in the graph is defined by:

g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The value of k determines the direction of the shift. Specifically,

if k > 0, the base graph shifts k units upward, and

if k < 0, the base graph shifts k units downward.

Here, k = -1

And the graph of g(x) is the graph of f(x) is shifted down 1 unit.

Therefore, the f(x) is shifted to 1 unit downward.

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