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3 years ago

A frame of width a surrounds a 5 by 7 inch photograph. Find the expression that represents the area of the frame in terms of a.

Mathematics

1 answer:

Arada [10]3 years ago

4 0

See diagram
totalarea=totallengtht times totalwidth=(2a+5) times (2a+7)=4a²+24a+35

minus original aera
which is 5 by 7 which is 35

4a²+24a+35-35=4a²+24a

3rd option I think, can't tell which is which

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What is the value of -16?

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Answer:

the answer would be -4

Step-by-step explanation:

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Which number has an 8 that is 1 tenth the value of the 8 in 78

yKpoI14uk [10]

9.75 i think I’m not really sure do you have any options?

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3 years ago

Solve these simultaneous equations:

ivolga24 [154]

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

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2 years ago

If it’s right I will mark you Brainly!!

Free_Kalibri [48]

Answer:

y=x+20

y= 1x + 20

Step-by-step explanation:

The formula for slope is y= mx+ b

m is the slope and b is the y-intercept (where the line touches the y-axis

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3 years ago

Which graph represents an odd function?<br><br>Answer by using: A, B, C, or D for each graph.

vladimir1956 [14]

Answer: The correct option is C.

Explanation:

A function is called an odd function if,

$f(-x)=-f(x)$

It means if the points are in the form of (x,y) then (-x,-y) is also in the graph.

Reason for correct option:

In option C, a point (1,2),

It means,

$f(1)=2$

And we have another point (-1,-2).

$f(-1)=-f(1)=-2$

The other points are (2,3),(-2,-3),(3,-1),(-3,1),(4,0),(-4,0). Therefore the function is an odd function.

Reason for incorrect option:

In option A, a point is (1,3), therefore the value of function at x = -1 should be -3.

But the value of function is 1 at x=-1, therefore it is not an odd function.

In option B, a point is (1,0), therefore the value of function at x = -1 should be 0.

But the value of function is -3 at x=-1, therefore it is not an odd function.

In option D, a point is (1,-1), therefore the value of function at x = -1 should be 1.

But the value of function is -1 at x=-1, therefore it is not an odd function.

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