Please answer I need help

What does x2+11x+18 equal

OLEGan [10]

Answer:

x =(11-√193)/2=-1.446

x =(11+√193)/2=12.446

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

This is so confusing all of it makes no sense

Tom [10]

Answer:

D). $4\sqrt{2}$

Step-by-step explanation:

STEP 1a: Find the last angle of the triangle. ( which is angle A)

$A+90+45=180$

STEP 1b: Solve the equation for A by adding 90 and 45.

$A+135=180$

STEP 1c: Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

$A=180-135$

STEP 1d: Subtract 135 from 180.

$A=45$

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

$cos(A)=\frac{adj}{hyp}$

STEP 2c: Substitute the name of each side into the definition of the cosine function.

$cos(A)=\frac{b}{c}$

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

$b=c*cos(A)$

STEP 2e: Substitute the values of each variable into the formula for cosine.

$b=8*cos(45)$

STEP 2f: Cancel the common factor of 2.

$a=4\sqrt{2}$

HOPE THIS HELPS!

4 0

2 years ago

Read 2 more answers

A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

8 0

3 years ago

Simplify -|-5 + 2|. A.-7 B.-3 C.3 D.7

larisa86 [58]

You're answer is (B).-3.

-|-5+2|

-5+2=-3

=|-3|

=-3

5 0

2 years ago

Alex, Hans and Stan saved up some money to buy a tent for a camping trip. Stan saved 60% of the price. Alex saved 40% of what wa

Ivenika [448]

Answer:

What is the smallest number you can form with the given cards? ... Alex, Hans and Stan saved money to buy a tent for a camping trip. Stan ... Alex saved 40 % of what was left of the price.

4 0

2 years ago