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3 years ago

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

2 answers:

6 0

Y = mx + b
slope(m) = -2
(6,8)...x = 6 and y = 8
now we sub and find b, the y int
8 = -2(6) + b
8 = -12 + b
8 + 12 = b
20 = b
so ur equation is : y = -2x + 20

adoni [48]3 years ago

5 0

Answer with explanation:

Slope of Line= -2

The line passes through the point , (6,8).

⇒Equation of line passing through point , (a,b) having slope ,m is

y -b = m (x -a)

⇒≡Equation of line passing through point , (6,8) having slope ,-2 is

→y -8 = -2× (x -6)

→y -8 = -2 x + 12⇒⇒ Using Distributive property of multiplication with respect to Subtraction

→2 x + y= 12 + 8

→2 x + y=20

Required Equation of line.

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PRE-FINAL REVIEW

densk [106]

The equation that can be used to represent total tickets sales is 2170 = 5s + 2f + 10a

<h3>Equation</h3>

let

Number of students tickets = s
Number of faculty tickets = f
Number of alumni tickets = a

Expression for number of students tickets sold;

s = f + 15

Expression for number of faculty tickets sold;

f = 2a

Expression for number of alumni tickets sold;

f = 2a

a = f/2

Cost of students tickets = $5
Cost of faculty tickets = $2
Cost of Alumni tickets= $10
Total revenue = $2170

2170 = 5s + 2f + 10a

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5 0

2 years ago

Simplify the following algebraic expression:<br> 4+3 [6z - 5(6 +2z)]

Tatiana [17]

$\huge\text{Hey there!}$

$\huge\text{4+3 [6z - 5(6 +2z)]}$

$\huge\text{4+(3)(6z)+(3)(-5(6+2z))}\\\\\rightarrow\huge\text{4+18z+(-30z)+(-90)}$

$\huge\text{\bf{Combine the like terms if you have any.}}$

$\huge\text{Like term \#1: 10z \& -30z}\\\\\\\huge\text{Like term \#2: 4 \& -90}$

$\huge\text{18z + (-30z) + (4 + (-90))}$

$\huge\text{18z + (-30z) = -12z}\\\\\\\huge\text{4 + (-90) = -86}$

$\boxed{\boxed{\huge\text{Answer: -12z + (-86)}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago

Read 2 more answers

Solve -3x2 + 30x - 90 = 0.

FrozenT [24]

$-3x^{2}+30x-90=0 \\ \\ x^{2}-10x+30=0 \\ \\ \Delta=(-10)^{2}-4*1*30=100-20=-20 \\ \\ \sqrt{\Delta}= \sqrt{-20}=i \sqrt{20} =2i \sqrt{5} \\ \\ x_{1}= \frac{10-2i \sqrt{5} }{2} = 5-i \sqrt{5} \\ \\ x_{2}= \frac{10+2i \sqrt{5} }{2} = 5+i \sqrt{5}$

6 0

3 years ago

Let “a” represent Andrew’s age TODAY. Write an expression to represent the situation. Andrew’s age in 4 years.

serious [3.7K]

Answer: 4a

Explanation If ‘a’ represents his age today, and you have to find his age in four years you take 4 multiplied a. (4 x a) putting it together and you would get 4a

7 0

3 years ago

Jose takes a job that offers a monthly starting salary of $2200 and guarantees him a monthly raise of $105 during his first year

vodka [1.7K]

Answer:

$3355

Step-by-step explanation:

Since the job offers starting salary of $2200 and monthly raise of $105 during his first year of training.

∴ a = 2200 and d = 105

Since the general form of A.P is,

a, a + d, a + 2d, a + 3d, ............. $a_{n}$

Where, $a_{n}$ is the last term of A.P or his monthly salary at the end of his training and n is the number of terms in a series.

So, the A.P is:

2200, 2200 + 105, 2200 + 2(105) ......... $a_{n}$

2200, 2305, 2410 ............ $a_{n}$

Since there is 12 month in a year therefore, n = 12.

$a_{n} = a + (n - 1) d\\$

. $a_{n}$ = 2200 + ( 12 - 1) × 105

= 2200 + 11 × 105

= 2200 + 1155

= 3355

∴ . $a_{n}$ = 3355

So the monthly salary of Jose at the end of his training is 3355$.

8 0

3 years ago