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3 years ago

20

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

12 in

Step-by-step explanation:

the scale factor of the enlarged frame is found by comparing the widths

original width : enlarged width = 2 : 6 = 1 : 3

That is 3 times the original width , then

enlarged height = 4 × 3 = 12 in

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Will the product of a positive number and a negative number be positive or negative? Why?

MA_775_DIABLO [31]

Answer:

negative

Step-by-step explanation:

positive * positive = positive

negative * positive = negative

5 0

3 years ago

1) Which linear equation BEST represents the line of best fit for the scatterplot? A) y = x B) y = 3x C) y = -3x D) y = 5x + 1 2

Tresset [83]

Answer:

1) A. y = x + 2

Once a line of best fit has been placed upon a scatter graph it is straightforward to find the equation. The general equation of a straight line is: y = mx + c Where m is the slope (gradient) of the line and c is the y-intercept.

4) d. strong positive correlation.

The slope of the line is positive. Most points lie close to the line.

(I am not sure if this is correct or not, I am so sorry)

3 0

4 years ago

What is the solution of log4(2x-6)=2

Flauer [41]

Answer: $x=11$

Step-by-step explanation:

Remembert that, by definition:

$log_b(x)=y$ → $b^y=x$

Then, you can rewrite $log_4(2x-6)=2$ in exponential form:

$4^2=2x-6$

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

$4^2+6=2x-6+6$

$22=2x$

And finally you must divide both sides of the equation by 2, then:

$\frac{22}{2}=\frac{2x}{2}\\\\x=11$

3 0

3 years ago

2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2

storchak [24]

Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51 Eqn 1

x = 2y Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

$\frac{3y}{3}=\frac{51}{3}\\y=17$

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

7 0

3 years ago

Please Help! I will give you a lot of points! (6.3)

Mandarinka [93]

Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.

We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.

We combine like terms to get 3x-20000=211000.

We add 20000 to both sides to get 3x=231000.

We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.

Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.

8 0

3 years ago