Find the area of right triangle def,round to nearest tenth if necessary D(-6,-1),E(1,-3),F(3,4)
HELP

Answers

Answer 1

Answer:

Step-by-step explanation:

Two of the legs will be at right angles to each other and have negative reciprocal slopes. Area will be half of the product of these two legs.

slope of DE (-3 - (-1)) / (1 - (-6)) = -2/7

slope of EF (4 - (-3)) / (3 - 1) = 7/2

so these two are perpendicular

check the DF line to be certain

slope of DF (4 - (-1)) / (3 - (-6)) = 5/9

Length of DE =  √(-2² + 7²) = √53

Length of EF = √(7² + 2²) = √53

Area of triangle

A = ½√53√53 = 26.5 units²


Related Questions

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

Step-by-step explanation:

ΔABD ≅ ΔACD    {A S A congreunt}

∠ADB ≅ ∠ADC   {CPCT}

∠ADB + ∠ADC = 180   {linear pair}

2∠ADB = 180

∠ADB = 180/2

∠ADB = 90

∠ADB = ∠ADC = 90.

So, now we can use Pythagorean theorem to find x

x² = 8² - 2²

   = 64 - 4 = 60

x = √60

Plz help show by step by step

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply :

[tex] - 5 + {3}^{3} \times 4 - 2 + (8 - 3) \times 6 \div 2 + 3[/tex]

[tex] - 5 + 27 \times 4 - 2 + 5 \times 3 + 3[/tex]

[tex] - 5 + 108 - 2 + 15 + 3[/tex]

[tex]126 - 7[/tex]

[tex]119[/tex]

-4 1/5 minus (-13 1/10)

Answers

Answer:

(-4 1/5) - (-13 1/10) = 8.9

If you want to EVALUATE IT than the answer is 107.42.

Step-by-step explanation:

I need help I have to get this done by tomorrow

Answers

Answer:

204768

Step-by-step explanation:

You just need to multiply 3762 with 54

An item has a listed price of $70. If the sales tax rate is 3%, how much is the sales tax (in dollars)?

Answers

3% of 70 means "0.03 x 70" which is 2.1.

The sales tax is $2.10.

a. Which two lines are parallel?
b. Which line is perpendicular to Line A ?

Line A; y=3x +6 Line B: y =6-3x
Line C: y=17-x/3 Line D: y= 3x-1/3​


Please I need help!!!!

Answers

Step-by-step explanation:

line A and D are parallel because they have the same koeficient 3=3

line C is perpendicular to line A because

k1*k2=-1

3*(-1/3)=-1

which is a true statement

Answer:

a) Line D is parallel to line A

b) Line C is perpendicular to line A

Step-by-step explanation:

Line A has a slope of 3 and y intercept of 6

Line C is perpendicular to A as perpendicular lines have negative reciprocal slopes. Slope of C is -1/3

Line D is parallel to A as parallel lines have identical slopes but different y intercepts. Slope of D is 3 and y intercept is -1/3

Line B mirrors Line A over the y axis. It's slope is the negative of A and it has an identical y intercept.

1/4X - 8 + 12 = -3/4X + 5 Solve for X

Answers

Answer:

x = 1

Step-by-step explanation:

I'm going to convert this to decimal to make it easier to type

Since x = 1, there is no need to include it in the equation

1/4 - 8 = -7.75 + 12 = 4.25

-0.75 + 5 = 4.25

Answer:

By simplifying both sides of the equation, then isolating the variable.

X=1

Step-by-step explanation:

1/4*1-8+12=-3/4*1+5

Work out the value of x. And give a reason for your answer

Answers

Answer:

x = 120°

The triangle is an equilateral triangle and all the angles in an equilateral triangle equal 60°.

Straight lines have 180° angles.

180 -  60 = 120

X=120 just took the test

2 3/4 gallons in 3 2/3 minutes

Answers

Step-by-step explanation:

2 3/4 gallons in 3 2/3 minutes

equal to :

11/4 ÷ 11/3 =

11/4 × 3/11 =

3/4 gallons per minutes

or

0.75 gpm

2 3/4=11/4gallons3 2/3=11/3 min

Speed

11/4÷11/311/4×3/113/4gallons per minute

149
2.89
10. A jar of olive oil is priced at $15.18 for 6.6 ounces. What is the price of one ounce of olive
oil?

Answers

Answer:

$2.30

Step-by-step explanation:

Price- $15.18

Ounces- 6.6

$15.18 ÷ 6.6

=$2.30

Factor the expression completely: x^4-81

Answers

Answer:

Step-by-step explanation:

Identity used: [tex]a^{2}-b^{2} = (a + b)(a -b)[/tex]

81 = 9*9 = 9²

a = x^2 and  b =9

Then again 9 = 3*3.In this way, (x² - 9 ) can be again factored

[tex]x^{4} - 81 = (x^{2})^{2}-9^{2}\\\\=(x^{2} + 9)(x^{2} - 9)\\\\=(x^{2}+9) (x^{2} -3^{2})\\\\= (x^{2} + 9}(x+3)(x-3)[/tex]

im back again, even harder this time;

james has 13 marbles his freind steal all 13 marbles. how much can james get a lawsuit on his freind for?

a.) nothing ._.
b.) 6 potatoes :/
c.) $10 :D
d.) detention with miss trunchbull from matilda >:(
e.) big boy slap O_O

Answers

Answer:

D

Step-by-step explanation:

Definitely needs to serve some detention with Miss Trunchbull.

Indeed, The Correct Answer Is D.

Help please. Thank you if you do

Answers

im so sorry i dk.............

4+g=14 answer please

Answers

Answer:

4+g=14

g=14-4

g=10

Step-by-step explanation:

please mark me as brainlest

So you have 4+g=14
We can view this as 4+?=14
The question is just asking for a number that you can add to make the given value
So that in this case would be 10
I hope this helped :)

?????????????????? Please

Answers

Answer:

the answer is the third one

Step-by-step explanation:


Help with my math homework due next week quick please

Answers

a) [tex]-4\geq x\geq -1[/tex]

x <= -4 and x >= -1

b) [tex]2<x\leq 4[/tex]

x > 2 and x <= 4

c) [tex]3 > x > 9[/tex]

x < 3 and x > 9

d) [tex]-5 \leq x < 0[/tex]

x >= -5 and x < 0

Hope this helps!

Can someone tell me the answers

Answers

Answer:

exploration is the answer I got

I got Exploration. I think it’s right

Find an equation of a line that passes through the points (-2,-4) and (2,-6)

Answers

Answer:

y = -2/4x -5

Step-by-step explanation:

Assuming that the answer will be in slope intercept form, and not standard form. It would go a little like this:

Finding the slope:

y2 - y1/x2 - x1

-6 - (-4) / 2 -(-2)

-6 + 4 / 2 + 2

-2/4

Simplifying further, the slope would be: -1/2

The slope would be -1/2.

Now, checking desmos, the equation would be: y = -2/4x -5.

Can someone help me it’s due!!sorry if it’s not bright!!!

Answers

Answer:

2:1

Step-by-step explanation:

to make the smaller triangle turn into the bigger triangle, each side has to be multiplied by a factor of 2. double the little triangle and you will get the bigger one

HELLPPPPPPPPPPP


The graphs of functions f(x) and g(x) = f(x)+k


The value of k is ____?

Answers

Answer:

2

Step-by-step explanation:

f(x) starts at the orgin, (0, 0), and g(x) starts at (0, 2)

With this information we can decide that k is 2 as it moved the line up 2

(hope this helps, I see that is Canvas, good luck!)

What is the solution for this set of equation (2r-3)-4=37

Answers

Answer:

(2r-3)-4=37

or,(2r-3)=37+4

or,2r-3=41

or,2r=41+3

or,2r=44

or, r= 44/2

hence , r= 22

i don't know how to do math lol​

Answers

Answer:

Ima guess 60

Step-by-step explanation:

9514 1404 393

Answer:

  60°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles:

  100° = 40° +∠B

  60° = ∠B . . . . . . . . . . . . . subtract 40° from both sides

Write an equation for a line parallel to y = − 2 x + 4 and passing through the point ( 2 , 1 )

Answers

Answer:

x=2y

Step-by-step explanation:

y=-2x+4 is perpendicular to the line which passes through (2,1). We know that we can use the formula y=mx+c to find the gradient of the line with the equation y=-2x+4, which will give you -2. The product of the gradient of two perpendicular lines is always -1. So the gradient of the line which passes through (2,1 ) is -½.

Now,to find the equation of the line,we use the formula y-y1=m(xx1)which will give you the answer 2y=x when solved.

I need help please with the work?

Answers

Answer with Step-by-step explanation:

m<A=m<J=20

In JOE,

80+20+m<O=180[Angles of a trinagle]

m<O=80=m<M

m<E=m<Y=80

1.3 x 9.16? Multiplying decimals​

Answers

One option (that I would use):

Ignore the decimals and multiply 13 x 916.

    9 1 6

  x    1 3

 2 7 4 8

 9 1 6 0

1 1 9 0 8

OK, now take into account there were a total of three digits to the right of decimal points (3, 1, and 6), so your answer also needs three digits to the right of your decimal point.

Answer 11.908

HELPP PLSS URGENT PLSS

Answers

Answer:

pc wuidorn8

Step-by-step explanation:

-5 + 9x4-2+(8-3)x6 divide 2 +3

Answers

It's a fraction. At the numerator we have : -5+9×4-2+(8-3)×6 = -5 + 36 -2 + 5×6 = -5 +36-2 +30= 31-2+30 = 29+30= 59

59/2 = 29.5 +3 = 32.5

If you flip three fair coins, what is the probability that you’ll get two tails and one head in any order?

Answers

Step-by-step explanation:

1/ 3 is the probability of getting one head

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my
middle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. What
number am I?

Answers

Answer:

865

Step-by-step explanation:

Let the 3-digit number is abc = 100a + 10b + c.

We have:

100a + 10b + c - 100c - 10b - a = 297b = a - 6a = 2c - 2

Simplify the first equation:

99a - 99c = 297a - c = 3a = c + 3

Solve for c by substitution:

2c - 2 = c + 32c - c = 3 + 2c = 5

Find a:

a = 3 + 5 = 8

Find b:

b = 8 - 2 = 6

The number is:

865

What is the length of segment BC?
14
100
196
10

Answers

10 ….. x z z. Z z z z
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