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3 years ago

What would be the distance traveled if you traveled 48 mph for 6 1/2 hours

Mathematics

2 answers:

nordsb [41]3 years ago

7 0

Answer: 312

Step-by-step explanation:

48 * 6= 288

Half of 48 is 24

24+ 288= 312

vichka [17]3 years ago

5 0

Answer:

312 m

Step-by-step explanation:

Speed = distance/time

6½ = 13/2

48 = distance ÷ (13/2)

Distance = 48 × 13/2

= 312

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Through(-2,-3); parallel to 3x+2y=5

Vilka [71]

Step-by-step explanation:

Hey there!

Firstly find slope of the given equation.

Given eqaution is: 3x + 2y = 5.......(i)

Now;

$slope(m1) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y}$

$or \: m1 = \frac{ - 3}{2}$

Therefore, slope (m1) = -3/2.

As per the condition of parallel lines,

Slope of the 1st eqaution (m1) = Slope of the 2nd eqaution (m2) = -3/2.

The point is; (-2,-3). From the above solution we know that the slope is (-3/2). So, the eqaution of a line which passes through the point (-2,-3) is;

(y-y1) = m2 (x-x1)

~ Keep all values.

$(y + 3) = \frac{ - 3}{2} (x + 2)$

~ Simplify it.

$2(y + 3) = - 3x - 6$

$2y + 6 = - 3x - 6$

$3x + 2y + 12 = 0$

Therefore, the eqaution of the line which passes through the point (-2,-3) and parallel to 3x + 2y= 5 is 3x + 2y +12 =0.

Hope it helps...

8 0

3 years ago

Read 2 more answers

Haben knows that the angle of elevation from the top of a rock formation to a stake in the ground 50 feet from its base is 42°.

Murrr4er [49]

Answer:

The height of the rock formation is $45.02\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$tan(42\°)=h/50$

solve for h

$h=50*tan(42\°)=45.02\ ft$

4 0

3 years ago

Read 2 more answers

Which graph represents a function

Tema [17]

The correct answer is c

8 0

3 years ago

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

By comparing both areas, we can conclude that LMN has a larger area

3 0

3 years ago

Simplify: (25 + 17) – |37 – 13| A. 15 B. 18 C. 20 D. 21

vaieri [72.5K]

First we solve modulus

| 37-13| =|24|= 24

Now solving Bracket

25+17 = 42

Therefore, 42 - 24 = 18

3 0

3 years ago

Read 2 more answers