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inysia [295]
3 years ago
11

consider this sum of 36 + 45 Use the distributive property to rewrite the sum as a product of a whole number other than one and

a sum of two whole numbers​
Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

9(4+5)

Step-by-step explanation:

Find the common divider of 36 and 45 and put the numbers in the brackets

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The expression (8-3)^2-(5-2)^2 is equivalent to what numerical expression
Tresset [83]
(8-3)²-(5-2)²
Follow the PEMDAS
P-Parenthesis
E-Exponents
M/D-Multiplication/Division
A/S-Addition/Subtraction
clear the numerals in the parenthesis:
(5)²-(3)²
Now do the exponents:
=25-9
=16
Its just: (5)²-(3)²
7 0
3 years ago
Find Each Sum.<br> (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
tia_tia [17]
To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.

<span>(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) 
(-4c</span>² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d
6 0
2 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x repre
NISA [10]
First, let's write down this inequality:
<span>There are at least 245 students enrolled in the school.

 y≥245

This inequality says what the sentence says!

now, the number of teachers must be:
x≥2*(y/25)
 (two times the number of groups of students of 25!)

so those two inequalities, taken together will be the answer!
</span>
6 0
3 years ago
Read 2 more answers
What is the next step
iragen [17]

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

6 0
2 years ago
Read 2 more answers
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