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Allisa [31]
3 years ago
5

The sum of 4 consecutive integers is -26.What are the integers

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

-38/4, -2 38/4, -4 38/4, -6 38/4

Step-by-step explanation:

x+(x+2)+(x+4)+(x+6) = -26

4x+12=-26

4x= -38

x=-38/4

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Select the pair of equations whose graphs are perpendicular.  
viktelen [127]
k:\ y=m_1x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2x+b_2\\ \\the\ line\k\ is\ perpendicular\ to\ the\ line\ l\ \ \ \Leftrightarrow\ \ \ m_1\cdot m_2=-1\\----------------------------\\\\A.\\2y=-3x+5\ \ \Rightarrow\ \ \ y=-  \frac{3}{2}  x+2.5\ \ \Rightarrow\ \ m_1=- \frac{3}{2} \\\\2x+3y=4\ \ \Rightarrow\ \ 3y=-2x+4\ \ \Rightarrow\ \ y=- \frac{2}{3}x+1 \frac{1}{3}  \ \ \Rightarrow\ \ m_2=- \frac{2}{3} \\\\m_1\cdot m_2=- \frac{3}{2} \cdot (- \frac{2}{3})=1 \neq -1

B.\\5x-8y=9\ \ \Rightarrow\ \ -8y=-5x+9\ \ \Rightarrow\ \ \ y=  \frac{5}{8}  x-1 \frac{1}{8} \ \Rightarrow\ \ m_1= \frac{5}{8} \\\\12x-5y=7\ \Rightarrow\ \ -5y=-12x+7\ \ \Rightarrow\ \ y= \frac{12}{5}x-1 \frac{2}{5}  \ \ \Rightarrow\ \ m_2= \frac{12}{5} \\\\m_1\cdot m_2= \frac{5}{8} \cdot  \frac{12}{5}= \frac{3}{2}  \neq -1

C.\\y=2x-7\ \ \Rightarrow\ \ m_1=2 \\\\x+2y=3\ \Rightarrow\ \ 2y=-x+3\ \ \Rightarrow\ \ y= -\frac{1}{2}x+1 \frac{1}{2}\ \ \Rightarrow\ \ m_2=- \frac{1}{2} \\\\m_1\cdot m_2= 2 \cdot (- \frac{1}{2})= -1\ \ \Rightarrow\ \ y=2x-7\ \ \ \ \perp\ \ \ \ x+2y=3


D.\\x+6y=8\ \ \Rightarrow\ \ 6y=-x+8\ \ \Rightarrow\ \ \ y=- \frac{1}{6} x+1 \frac{1}{3}\ \ \Rightarrow\ \ m_1= -\frac{1}{6} \\\\y=2x-8\ \Rightarrow\ \ m_2= 2 \\\\m_1\cdot m_2= -\frac{1}{6} \cdot2=- \frac{1}{3} \neq -1
7 0
3 years ago
7
ella [17]

Given:

Two similar rectangles.

To find:

The area of the larger rectangle.

Solution:

Let x be the other side of the larger rectangle.

Corresponding sides of similar figures are always congruent.

\dfrac{x}{1}=\dfrac{4}{2}

x=2

The other side of larger rectangle is 2 cm.

We know that, area of rectangle is

Area=Length\times Width

So, area of the larger rectangle is

Area=4\times 2

Area=8

Therefore, the area of the larger rectangle is 8 sq. cm.

6 0
3 years ago
Penny makes 5 liters of applesauce. She saves 0.24 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how
In-s [12.5K]

Answer:

Penny can fill eight jars.

4 0
3 years ago
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You can pay $4.80 for 8 pounds of sugar or $11.75 for 25 pounds of
cricket20 [7]
25 pounds would be a better deal
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3 years ago
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4/7 is the result when 1/2 and x are added.
kipiarov [429]
By solving the equation
1/2 +x =4/7
x = 4/7 -1/2
x= 1/14
5 0
3 years ago
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