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Brut [27]
3 years ago
15

A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?

Mathematics
2 answers:
Alik [6]3 years ago
8 0

Answer:

k = 6

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (4 - 8)/(-10 - 6)

m = -4/-16

m = 1/4

y = 1/4x + b

Step 2: Find <em>b</em>

4 = 1/4(-10) + b

4 = -5/2 + b

b = 13/2

Step 3: Rewrite equation

y = 1/4x + 13/2

Step 4: Find <em>k</em>

y = 1/4(-2) + 13/2

y = -1/2 + 13/2

y = 12/2

y = 6

Reika [66]3 years ago
8 0

Answer: 6

Step-by-step explanation:

As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.

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An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)
tresset_1 [31]

bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.

\bf a_n=(-1)+(n-7)(-4)\implies a_n=-1+(-4n+28)\implies a_n=27-4n

4 0
3 years ago
Read 2 more answers
Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?
IgorC [24]
Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

    3a - a = 18
    2a = 18
    a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

    3a
    3(9)
    27

Answer:
Jim is 27 years old.
6 0
3 years ago
The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with
zloy xaker [14]

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

\rm CPI_t=\dfrac{C_t}{C_0}\times 100

Here \rm C_t is the cost of market basket in current period and \rm C_0 is the cost of market basket in the base period.

Cost of market basket in current period is

\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9

Cost of market basket in 1983 is,

\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8

Substitute all the values in the formula

\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

3 0
2 years ago
Find the volume of the rectangular prism below. Answer as a mixed number not a decimal.
dangina [55]

Answer:

242 2/3in^3

Step-by-step explanation:

The formula is l*w*h. So if you multiply all of them you'll get  242 2/3.

4 0
3 years ago
12x+15y=-45 put into slope-intercept form, simplify all fractions.
Karo-lina-s [1.5K]

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

7 0
2 years ago
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