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2 years ago

What are the x- and y-intercepts of a line that passes through (5, 18) with a slope of 2?

Mathematics

1 answer:

WINSTONCH [101]2 years ago

6 0

18=2(5)+b
b=8 y intercept is 8

0=2(x)+8
-8=2x
x=-4
X intercept is -4

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Four friends were born in consecutive years. The sum of their

zimovet [89]

Answer:

Step-by-step explanation:

Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.

Now we add the 4 expressions and set the sum equal to 94.

x + x + 1 + x + 2 + x + 3 = 94

4x + 6 = 94

4x = 88

x = 22

The youngest one is 22.

The oldest one is

x + 3 = 22 + 3 = 25

Answer: 25

4 0

2 years ago

If the length of a side of an<br> equilateral triangle is x, what is half of the perimeter?

nataly862011 [7]

Answer:

3/2 x

Step-by-step explanation:

length of a side of an equilateral triangle is x

The perimeter is

P = 3s where s is the side length

P = 3x

1/2 of the perimeter

1/2 (3x)

3/2 x

4 0

2 years ago

Solve this equation using elimination distribution or substitutionX^2=11x-10

Tema [17]

Answer:

it either x = 10 or x = 1

Step-by-step explanation:

8 0

2 years ago

Which line is perpendicular to AB line 1 line 2 line 3 line 4

marshall27 [118]

Line 1 is perpendicular

6 0

2 years ago

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t2 + 20t + 6 where t is the

makkiz [27]

$f(t)=h=-16t^2+20t+6

$

a=-16, b=20, c =6

Δ= $b^2-4ac=20^2-4*(-16)*6=400+384=784$

$\sqrt{Δ}=\sqrt{784}=28$

max:

$p=-\frac{b}{2a}=-\frac{20}{-32}=\frac{20}{32}=\frac{5}{8}$

max heigh: $h=-16(\frac{5}{8})^2+20*\frac{5}{8}+6=-16\frac{25}{64}+\frac{100}{8}+6$

$h=-\frac{25}{4}+\frac{50}{4}+6=\frac{-25+50+24}{4}=\frac{49}{4}$

$h=\frac{49}{4}$ at $t=\frac{5}{8}s$

will fall down at t:

$t=\frac{-20-28}{-32}=\frac{-48}{-32}=\frac{3}{2}=1.5$

$t=1.5s$

8 0

2 years ago