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3 years ago

NASA launches a rocket at

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

Answer:

the height is : 2365.48 m

Step-by-step explanation:

hello :

h(t) = − 4.9 t 2 + 211 t + 94 .

the vertex of this parabola is : (-b/2a , h(-b/2a) when : a= -4.9 and b=211

-b/2a = -(211)/2(-4.9) = 21.53

h(21.53) = -4.9(21.53)²+211(21.53)+94 = 2365.48 m

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A young woman wants to make at least $200 a week and can't work no more than 30 hours a week. she works at the library for $8 an

Bas_tet [7]

Let, Number of Hours in Library = x
Number of Hours in babysitting = y

Inequality would be: x + y = 30 ;
& 8x + 6y ≥ 200

b) Solving: Multiply first equation by 6,
6x + 6y ≥ 180
Subtract it from 2nd equation,
2x ≥ 20
x ≥ 10

Now, substitute it in 1st equation,
10 + y = 30
y = 20

Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!

Hope this helps!

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3 years ago

What is the slope of a line perpendicular to the given line plz

stiks02 [169]

Answer:

it should be the negative repirocal of -2 so 1/2

6 0

2 years ago

Read 2 more answers

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

Can someone help me with these both

Anna [14]

Hello,
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles.

Abbreviations:
SSS = Side-Side-Side
SAS = Side-Angle-Side
ASA = Angle-Side-Angle
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg

* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work.

(9.) ASA
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side)
(13.) ASA
(14.) SAS
(15.) HL

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3 years ago

Which is an incorrect rounding for 53.864? 54 53.87 50 53.9

Semenov [28]

Answer: 50

Step-by-step explanation:

4 0

2 years ago