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Debora [2.8K]
3 years ago
13

What is the equation of the line that passes through the points (-4,1) and (4-1)

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

y=-1/4x

Step-by-step explanation:

METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

m = \frac{y2-y1}{x2-x1}

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

m = \frac{(-1)-1}{4-(-4)}

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)

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Using trig to solve for missing angles
Sveta_85 [38]

Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

3 0
3 years ago
Help soon as possible
ratelena [41]

Answer:

Step-by-step explanation:

1.  x^2 + 6x = 5

   x^2 + 6x + 9 = 14

   (x+3)^2 = 14

   x = \sqrt{14} - 3

2. x^2 + 8x -4 = 0

   x^2 + 8x = 4

   x^2 + 8x + 16 = 20

   (x+4)^2 = 20

   x = \sqrt{20} - 4

4 0
3 years ago
A total of $32,000 is invested in two municipal bonds that pay 4.25% and 6.25% simple interest. The investor wants an annual int
Aleks04 [339]

Answer:

$16000 invested in 4.25%  and 16000 invested in 6.25%

Step-by-step explanation:

Let x be the amount invested in 4.25%  and y be the amount invested in 6.25%

4.25%= 0.0425

6.25%= 0.0625

x+y= 32000

subtract x from both sides

y= 32000-x

total interest earned is 1680

0.0425x+0.0625y=1680

0.0425x+0.0625(32000-x)=1680

Now solve for x  and y

0.0425x+2000-0.0625x=1680

subtract 2000 from both sides

-0.02x=1680-2000

-0.02x=-320

divide by -0.02 from both sides

x=16000

y= 32000-x

y= 32000-16000=16000

4 0
4 years ago
there are 20 guests at a party the host has 8 gallons of punch he estimates that each guess within 2 cups of punch if his estima
AlekseyPX
STEP 1:
convert gallons to cups & calculate total number of cups

1 gallon= 16 cups

= 8 gallons * 16 cups/gallon
= 128 cups total


STEP 2:
calculate total cups estimated for 20 guests

= 20 guests * 2 cups/guest
= 40 cups needed for guests


STEP 3:
subtract the difference between step 1 and step 2 to find leftover punch

= 128 cups - 40 cups
= 88 cups leftover

OR

GALLONS LEFTOVER
= 88 ÷ 16 cups/gallon= 5 1/2 gallons


ANSWER: There will be 88 cups or 5 1/2 gallons of punch leftover.

Hope this helps! :)
4 0
4 years ago
-3(3 - 10x)<br> Please Solve
BARSIC [14]
Since it is an expression and not an equation, you would just have to distribute the -3 to the two inside the parentheses.
The answer is -9 + 30x
3 0
3 years ago
Read 2 more answers
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