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3 years ago

What is the value of the first term in the following arithmetic sequence? -9,-2,5,12

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

Answer:

Step-by-step explanation:

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On a coordinate plane, a line goes through (0, negative 1) and (3, 1). a point is at (negative 3, 0). what is the equation of th

Vitek1552 [10]

Required Equation is $y = \frac{2x}{3}+2$

Given: A line passing through $({x}_1,{y}_1)$ and $({x}_2,{y}_2)$

Slope = $\frac{(y_2 - y_1)}{(x_2 - x_1)}$ = $\frac{( 1 - (-1))}{(3 - 0)}= \frac{2}{3}$

Equation of line is:

$Y_1(x) = \frac{2}{3}x + b$

Where b is y intercept

for value of b

$Y_1(0) = -1 = \frac{2}{3}*0 + b = b$

⇒ b = -1

and Equation of line is:

$Y_1(x) = \frac{2}{3}x + (-1)$

For another parallel line that passes through the point (-3,0)

$Y_2(x)= \frac{2}{3}x + c$

$Y_2(-3) = 0 = {2}{3}*-3 + c = -2 + c = 0$

c = 2

then the equation is:

$Y_2(x) = \frac{2}{3}x + 2$

To learn more, visit:

brainly.com/question/14013431

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5 0

2 years ago

Beth has a 75% discount coupon for an appliance store. She sees a new refrigerator that she wants to buy. After the 75% discount

marta [7]

The original price was $233.33 .

7 0

3 years ago

What is 113.09 rounded to the nearest tenth

ycow [4]

113.10
because the 9 is greater than 5

6 0

3 years ago

On a sunny day, cindy notices that her shadow is 21 inches long. if it is 75 inches from the top of her head to the end of the s

Ray Of Light [21]

Cindy is 72 inches long. Imagine it like a right triangle. Her shadow is the base, she is the side, and the distance between her head and the end of the shadow is the diagonal line connecting the two. Use the Pythagorean theorem to find how tall cindy is.

a²+b²=c²        a=21, the length of the shadow
                       b= ? cindy's height
                     c= 75, the distance from her head to the edge of the shadow
21²+ b²=75²
441 +b² = 5625
-441         -441
------         -------
0             5184
b² = 5184
√b² =√5184
b= 72

hope it helps

5 0

3 years ago

Dylan delivers parcels.

vovikov84 [41]

Answer:

Dylan delivered 140 parcels on Wednesday.

Step-by-step explanation:

On Wednesday:

On Wednesday, he delivered x parcels.

Thursday:

10% more than Wednesday, so 100 + 10 = 110% of x = 1.1x

Friday:

50% pless than on Thursday, so 100 - 50 = 50% of 1.1x = 0.5*1.1*x.

THis is equals to 77. So

$0.5*1.1x = 77$

$x = \frac{77}{0.5*1.1}$

$x = 140$

Dylan delivered 140 parcels on Wednesday.

5 0

3 years ago