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soldi70 [24.7K]
2 years ago
7

Simplify 3m + 7 – 4m + 6

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
4 0
Subtract or add like terms depending on the sign

3m-4m=-1m
7+6=13
Answer:
-1m+13
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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)
Inga [223]
  • Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: -4y=-3x+9

Next, divide both sides by -4 and your slope-intercept form of the original equation is y=\frac{3}{4}x-\frac{9}{4}

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

3 0
3 years ago
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A quadratic function of the form 0=ax2+bx2+c has a discriminant value of 0 how many real number solutions does the equation have
xxMikexx [17]
The discriminant is b²-4ac
when the discriminant is 0, there is only one solution.
4 0
3 years ago
Which value for x makes the sentence true?<br><br> 3/4x + 4 = 7
Aleks04 [339]

Answer:

(x) = 4

Step-by-step explanation:

 3/4 (x) + 4 = 7

 3/4 (4) + 4 = 7

0.75 (4) + 4 = 7

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                7 = 7

8 0
2 years ago
The difference between two numbers is 8. If
choli [55]

Answer:

y + 8

Step-by-step explanation:

Smaller number = y (Given)

\because Larger number - smaller number = 8

\therefore Larger number - y = 8

\therefore Larger number = y + 8

Verification:

y + 8 - y = 8

6 0
3 years ago
What is the lcm of 13 and 9​
telo118 [61]

Answer:

LCM = 117

Step-by-step explanation:1.  Find the prime factorization of 9. 9 = 3 x 3  2. find the prime factorization of 13. 13 = 13  3. Multiply each factor the greater number of times it occurs in steps 1) or 2) above to find the lcm:   3 x 3 x 13 = 117. Hope it helped.

8 0
3 years ago
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