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lina2011 [118]
3 years ago
11

For the graph shown, select the statement that best represents the given system of equations. Number graph ranging from negative

seven to eight on the x and y axes. A line is drawn on the graph that crosses the x axis at (negative three, zero) and crosses the y axis at (zero, five). A second line is drawn on the graph, which crosses the y axis at (zero, three) and crosses the x axis at (four, zero). 2y – 3x = 9 4y + 3x = 12 A. coincident B. inconsistent C. consistent and independent D. not enough information

Mathematics
2 answers:
Bumek [7]3 years ago
7 0
This system of equations is consistent and independent, because there is only one solution. the answer is C
Ulleksa [173]3 years ago
4 0
The answer should be C
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If 21 is added to a number the result is 40 less than twice the number what is the number?
Karolina [17]
If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40   Add 40 to both sides
x + 61 = 2x           Subtract x from both sides
      61 = x             Switch the sides to make it easier to read
       x = 61


7 0
3 years ago
WILL MARK BRAINLIEST, JUST HELP ME PLS
Luda [366]

Answer:

SAS theorem

Step-by-step explanation:

If \frac{CE}{CB} = \frac{DC}{AC} and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

\frac{EC}{BC} =  \frac{14}{21} = \frac{2}{3}           \frac{DC}{AC} = \frac{18}{27} = \frac{2}{3}

So,  \frac{CE}{CB} = \frac{DC}{AC}  and m∠ECD = m∠BCA because vertical angles are congruent

Therefore ΔECD is similar to ΔBCA by SAS theorem

5 0
2 years ago
Quadratic Word Problems
Anit [1.1K]
4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0

x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13

When x = -3, x - 2 = -5, x + 2 = -1

Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.

That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.

Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.
5 0
3 years ago
An illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent th
tatyana61 [14]
An illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent the number of femalevolunteers and y represent the number of male volunteers.which inequalities model the situation?select each correct answer.

A- x + y < 10 
<span>B- x + y ≤ 10 & </span>x ≥ 4  
C- x > 4 
D- x ≥ 4 
E- y > 0 
G- y ≥ 0

Solution :
option "B" is correct. Because the total number of male and female should be upto 10. and the number of female should be equal or greater than 4 but not less than it. 
4 0
2 years ago
Read 2 more answers
I was absent the day they taught this and my teacher refuses to teach me
julsineya [31]

Step-by-step explanation:

it's something in algebra i don't remember but basically the top number (12) has the x on the bottom which is multiplication and the bottom number (8) has addition so those tell u how ur supposed to get those numbers

so basically u need to find two numbers that add up to 8 and multiply to 12 so the factors are 6 and 2 because 6 • 2 is 12 and 6 + 2 = 8. hope this helps

7 0
2 years ago
Read 2 more answers
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