Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15

Answer:

the base is 8 cm

Step-by-step explanation:

basically, we need to set up a system of equations.

if we know the area of a triangle is 1/2bh, and that h = b + 5, (because we want them to equal one another in the equation), we can then make two different equations and substitute the h for b.

1/2bh = 52 and h = b+5

subsitute in the (b+5) for the h in the first equation to get

(1/2)(b)(b+5) = 52

multiply both sides by two to get rid of the 1/2

b)(b+5) = 104

now multiply the bs together!

b^2 + 5b = 104

If you know how to factor, we can make this

b^2 +5b -104 and then

(b+13)(b-8) = 0

solve for b to get b = -13, 8, and -13 isn't a real distance, so the only option for b is 8 square centimeters.

Plugging this back into the original equations to get the height (and checking that it is actually right,) we get a height of 13.

When you plug in the 13 and 8 into the area equation, you get

(8)(13)(1/2) = 52

52 = 52

so it works!

lmk if anything is confusing- i know I kind of breezed by the factoring part, but if you have a calculator you can keep dividing 104 by random numbers until you get the right difference if you get kind of lost. The formula

[-b+-sqrt(b^2-4ac)]/2a is another way you could always get the right answer, (from the form Ax^2 + Bx + C), but it's pretty time consuming and I'm not sure whether you've actually learned that yet..

hope that helps! :)

Answer:

Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

9514 1404 393

Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).

Answer:

36-54i

Step-by-step explanation:

(9+9i)(-1-5i)

v

-9-9×5i-9i-9i×5i

v

-9-45i-9i-45i^2

v

-9-45i-9i-45×(-1)

v

(-9)-45i-9i+(45)

v

36(-45i)(-9i)

v

36-54i

Answer:

-101

Step-by-step explanation:

An addition sign in front of the negative number means to subtract that number.

Another way to write -37 + (-64) is:

-37 - 64

-37 - 64 = -101

Answer:

the Highest common factor (HCF)of 8,12,24 is 4

Answer:

Angel V = 74

I hope it's helps you

Answer:  x=9

Step-by-step explanation:

x-(-6)=15

first the subtraction sign and the negative sign becomes a plus sign

x+6=15

  -6  -6

Next you subtract 6 from both sides of the equation. And that leaves you with

x=9

Answer:

4 is bigger than 3

Step-by-step explanation:

4 is bigger than 3

But

-3 is bigger than - 4

Step-by-step explanation:

200m:1.4km

200m:1400m

1:7

Answer:

25d + 100

Step-by-step explanation:

I will call "d" the days passed

25d + 100

Answer:

-9x+20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Rearrange the equation making x the subject

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )

2y = x - 3 ( add 3 to both sides )

2y + 3 = x

Change y back into terms of x with x being the inverse function, that is

y = 2x + 3 → B

Answer:

9.6 × 10  6

Step-by-step explanation:

(7.584 × ) ÷ (7.9 × 10²)

This gives;

×    = 0.96 ×

Simplifying further gives;

9.6 ×  = 9.6 ×

Answer:

About 613 pounds

Step-by-step explanation:

1 : 2.20462262

278 : 612.885089

612.885089 --> 612.89 --> 612.9 --> 613

Answer:

y = 5x + 2

Step-by-step explanation:

Add 10x to both sides

2y = 10x + 4

Divide both sides by 2

y = 5x + 2

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

Step-by-step explanation:

The equation of line which passes through these points is determined by:

p(x1,y1)=(-1/2,4) p(x2,y2)=(1/2,6)

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - 4}{6 - 4} = \frac{x + \frac{ 1}{2} }{ \frac{1}{2} + \frac{1}{2} } \\ \frac{y - 4}{2} = \frac{2x + 1}{2} \\ 2(2x + 1) = 2(y - 4) \\ 4x + 2 = 2y - 8 \\ 4x - 2y + 2 + 8 = 0 \\ 4x - 2y + 10 = 0[/tex]

Note:if you need to ask any question please let me know.

Answer:

78 meter 360meters 600 meters

hope you do not mind expressing this on in English ‍♂️

Answer:

11/9

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

    = ( 9 - -2)/(1 - -8)

    = ( 9+2)/ (1+8)

    = 11/9

Answer:

It is

[tex]{ \underline{ \sf{y = - \frac{3}{2}x - 3 }}}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \sf{y = mx + c}}[/tex]

m is the slope

c is the y-intercept

[tex]y = - \frac{ 3}{2} x - 3[/tex]

Answer:

try It would be number 81

Step-by-step explanation:

Abc= 110

ceo=70

dbe=110 or 120

and abe= 60 70 or 81

Answer:

ABC=112 degrees

DBE=112 degrees

ABE=68 degrees

Step-by-step explanation:

CBD=ABE

ABE=68 degrees

First let's take these as X,

ABC=DBE=X(Vertically opposite angles)

ABC+DBE+CBD+ABE=360(angles around a point)

   x  + x     +68   +68  =360

      2x        +136        =360

                       2x       =360-136

                       2x       =  224

                             x    =112 degrees

therefore;

   ABC=112 degrees

   DBE=112 degrees

Answer and Step-by-step explanation:

First, distribute the numbers outside of the parenthesis to the numbers on the inside.

-12x - 9 + 24x + 4 = 43

Combine like terms.

12x - 5 = 43

Add 5 to both sides.

12x = 48

Divide by 12 on both sides of the equation.

x = 3 <- This is the answer.

#teamtrees #PAW (Plant And Water)

Leave any questions you have, put it in the comments below :)

Answer:

D.

Step-by-step explanation:

Answer: 8 hours= $128      40 hours= $640

Step-by-step explanation:

$48.00 divided by 3 = $16.00 an hour. so 16x8=128 and 16x40=640