Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.<br> 16x0 + 2x2 .y-1

Please look at number 10. from the slope and write the equation for me

kompoz [17]

Answer:

y = 8x + 38

Step-by-step explanation:

To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)

y = mx + b

y = 8x + b

6 = 8(-4) + b

6 = -32 + b

+32 +32

38 = b

So using our slope and our intercept we have our slope intercept

y = mx + b

y = 8x + 38

Hope this helps :)

7 0

2 years ago

Read 2 more answers

How to write 625,087,435 in expanded form

kati45 [8]

625,087,435

600,000,000 + 20,000,000 + 5,000,000 + 80,000 + 7,000 + 400 + 30 + 5

6 0

2 years ago

A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t

madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap $=50+(\frac{20}{100}\times 50)$

second lap $= 50 + 10$

second lap $= 60\ sec$

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

$Third\ lap = 60 + (\frac{20}{100}\times 60)$

$Third\ lap = 60+2\times 6$

$Third\ lap = 60+12$

$Third\ lap = 72\ sec$

Time taken for 3 laps is equal to sum of all three laps time.

$Tiem\ taken\ for\ 3\ lap = 50+60+72$

$Tiem\ taken\ for\ 3\ lap = 182\ sec$

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

6 0

3 years ago

Keelie has a triangular-shaped card. The lengths of its sides are 3.9 cm, 5.2 cm, and 6.5 cm. Is the card a right triangle?

alexdok [17]

Answer:

Yes

Step-by-step explanation:

Since the longest side is 6.5 cm, so let it be hypotenuse c.

Verifying by right angle formula

c^2=a^2+b^2

(6.5)^2=(3.9)^2+(5.2)^2

42.25=15.21+27.04

42.25=42.25

Hence the given triangle is a right angles triangle

3 0

2 years ago

Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leap

stepladder [879]

Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

The height of the dolphin after t seconds is given by:

$h(t) = -16t^2 + 96t - 128$

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which $h(t) = 0$ it crosses the surface upwards, and then the second time for which $h(t) = 0$ it crosses the surface downwards.