Segment EA is an altitude of triangle DEF. Find the area of the triangle.

Please help me with both questions!!!!

Naya [18.7K]

Answer:

Step-by-step explanation:

16.

points are (0,-3),(2,1),(4,-3)

eq. of line through (0,-3) and (2,1) is

y+3=\frac{1+3}{2-0}(x-0)

or y+3=2x

2x-y=3

as the line is dotted so either < or >.

consider 2x-y>3

put x=0,y=0

0>3

which is not possible .

(0,0) does not satisfy the inequality

Hence shaded region is the required region.

now eq of line through (2,1)and (4,-3) is

y-1=\frac{-3-1}{4-2}(x-2)

y-1=-2(x-2)

y-1=-2x+4

2x+y=5

it is also a dotted line so either < or >

consider 2x+y<5

put x=0,y=0

0<5

which is true.

so (0,0) satisfy this inequality.

so the two inequalities are

2x-y>3

and 2x+y<5

17.

consider the points (0,4),(2,3),(4,4)

eq. of line through (0,4) and (2,3) is

y-4=\frac{3-4}{2-0}(x-0)

y-4=-1/2(x)

2y-8=-x

or x+2y=8

as the line is solid

so either≤ or ≥

consider x+2y≥8

put x=0,y=0

0≥8

which is impossible.

(0,0) does not satisfy the graph.

which is true as graph lies above the line.

again eq. of line through (2,3) and (4,4) is

y-3=\frac{4-3}{4-2}(x-2)

y-3=1/2(x-2)

2y-6=x-2

x-2y=-4

consider x-2y≤-4

put x=0, y=0

0≤-4

which is impossible.

so (0,0) does not satisfy the graph.

so inequality is true as shaded portion is above and left of the line.

so two inequalities are

x+2y≥ 8

and x-2y≤-4

5 0

3 years ago

Solving systems of Equations Word Problems - CLASSWORK

dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

$y=10x+20$

For x=7 hours

substitute

$y=10(7)+20=90$

The cost is $90

4 0

3 years ago

Calculeaza diferenta nr 824532 si 698845 apoi dubleaza rezultatul.

natita [175]

Răspuns:

693860

Explicație pas cu pas:

Diferența dintre: 824532 și 698845

824532 - 698845 = 125687

Dublând rezultatul, r:

2 * 125687 = 251374

Pentru a obține: 3 * 315078 = 945234

Numărul care trebuie adăugat la r, în altul pentru a obține 945234 este:

945234 - 251374 = 693860

Prin urmare, 693860 trebuie adăugat la 251374 pentru a obține (3 * 315078)

4 0

3 years ago

What is the slope of the line?

3241004551 [841]

Answer:

-4/5

Step-by-step explanation:

Two points that I see are not decimals are (-3,1) and (2,-3)

y1-y2/x1-x2= slope

-3-1/2-(-3)= -4/5

5 0

3 years ago

A box has four cards numbered 1 to 3 and four Hong will toss a coin wants and record the toss as heads or tails then he will ran

Papessa [141]

Answer:

Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}

O(Card 3 Chosen) = {H3, T3}

Step-by-step explanation:

A sample space is the set containing all the possible outcomes or results that can occur during an event. In this case the sample space will contain 8 outcomes, and it will be as follows:

<u>Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}</u>

Now, it is clear from the sample space that there are total two outcomes in sample space, in which the card numbered 3 is chosen. They are:

<u>O(Card 3 Chosen) = {H3, T3}</u>

where, O represents Outcomes.

4 0

3 years ago