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Leokris [45]
3 years ago
9

Can someone help me out

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0
<h3>x intercepts are (-1,0) and (-11,0)</h3>

This can be shortened to "x intercepts are -1 and -11" since in every case, the y value is always 0 for any x intercept. There's no need to state the y coordinate since it's always 0.

We find this by solving (x+1)(x+11) = 0 for x using the zero product property

(x+1)(x+11) = 0

x+1 = 0 or x+11 = 0

x = -1 or x = -11

=================================

<h3>The y intercept is (0,11). </h3>

This is the result of computing y = (0)^2+12(0)+11. Due to how easy it is to work with 0, we basically just erase the  (0)^2+12(0) portion and we're left with 11 as our y intercept. This means you can erase the x^2+12x portion of the original equation to get the same result.

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Put the following equation of a one into a slope -intercept form, simplifying all fractions.
dusya [7]

Answer:

y = -4/3x -9

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

8x+6y = -54

Subtract 8x from each side

8x+6y-8x = -8x-54

6y = -8x-54

Divide each side by 6

6y/6 = -8x/6 -54/6

y = -4/3x -9

5 0
2 years ago
Read 2 more answers
A rock is dropped from a bridge 320 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t
Marina86 [1]

Answer:

The rock will take about 4.5 seconds to reach the river

Step-by-step explanation:

* lets study the situation of the rock

- The rock is dropped means the initial velocity is zero

- The motion is free fall under earth gravity

- The rock dropped from a bridge 320 feet above the river

- The equation of the pathway is h = -16t² + 320

- When the rock reach to the ground the height will be zero

* Now lets substitute h by zero in the equation to find t

∵ h = -16t² + 320

∵ h = 0

∴ 0 = -16t² + 320 ⇒ add 16t² to both sides

∴ 16t² = 320 ⇒ divide both sides by 16

∴ t² = 320/16 = 20

∴ t² = 20 ⇒ take √ for both sides

∴ t = √20 = 2√5 ≅ 4.5 seconds

* The rock will take about 4.5 seconds to reach the river

4 0
3 years ago
Write each of the below number in an ascending order.<br> 1.5 1.75 2.07 2.8
34kurt

Answer:

1.5, 1.75, 2.07, 2.8

Step-by-step explanation:

Ascending order means to have the smallest value first and going up to the largest.

8 0
2 years ago
Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandt
Pachacha [2.7K]

Answer:

a = 9.849

b = 20.25

c = 491.03

Step-by-step explanation:

By using Pythagoras theorem in the right triangle BDC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

BC² = BD² + DC²

a² = 9² + 4²

a = \sqrt{(81+16)}

a = \sqrt{97}

a = 9.8489

a ≈ 9.849 units

By mean proportional theorem,

\frac{\text{DC}}{\text{BD}}=\frac{\text{BD}}{\text{AD}}

AD × DC = BD²

b × 4 = 9²

b = \frac{81}{4}

b = 20.25 units

BY Pythagoras theorem in ΔADB,

AB² = AD² + BD²

c² = b² + 9²

c² = (20.25)² + 9²

c² = 410.0625 + 81

c = 491.0625

c = 491. 063 units

6 0
3 years ago
Show working please!
Nina [5.8K]
You do -2 plus 4. Answer is 2.
Then do 2-(-2) which is 0.
The final answer is 2.
7 0
3 years ago
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