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anyanavicka [17]

3 years ago

14

The table represents a linear equation. Which equation shows how (–10, 8) can be used to write the equation of this line in poin

t-slope form?

1 answer:

Bingel [31]3 years ago

7 0

If you want to determine the slope, first, you need to know that m=x1y1overx2y2, then plug the numbers in and you will find the answer.

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stiv31 [10]

Answer:

x = -3. Y = 12

Step-by-step explanation:

the answer is D

6 0

3 years ago

For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

.

$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

.

$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$

8 0

3 years ago

a rectangle whose perimeter is 68 ft has a length that is 8 ft longer than its width. what is the area of the rectangle

VARVARA [1.3K]

the area of the rectangle is 544

7 0

3 years ago

Read 2 more answers

Find the missing measures

Brrunno [24]

Answer:

y=107

x=73

z=73

Step-by-step explanation:

y and 107 are vertical angles, which means that they're the same value because they're vertically across from each other.

107 and x are supplementary angles, so x=180-107 or 73.

x and z are also vertical angles, so x=z=73.

4 0

3 years ago

Read 2 more answers

One angle of a parallelogram measures 45°. What are the measures of the other three angles

Sergeu [11.5K]

Answer: 135, 45, and 135 are the three other angles

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Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

8 0

3 years ago