All categories

4 years ago

Help me. I don't understand. Please help me find X and IK

Mathematics

1 answer:

sertanlavr [38]4 years ago

6 0

Answer:

$x=4\\\\y=6\\\\IK=47$

Step-by-step explanation:

Two Tangent Theorem: Tangents which meet at same point are equal in length.

Here tangents at J and H meet at I.

$Hence\ HI=IJ\\\\y^2-10=4y+2\\\\y^2-4y-12=0\\\\y^2-6y+2y-12=0\\\\y(y-6)+2(y-6)=0\\\\(y-6)(y+2)\\\\y\ can\ not\ be\ negative\ as\ in\ that\ case\ IJ\ will\ be\ negative.\\\\Hence\ y=6\\\\IJ=4y+2=4\times 6+2=26\\\\\\\\Tangents\ at\ J\ and\ L\ meet\ at\ K.\ Use\ two\ tangent\ theorem.\\\\JK=KL\\\\5x+1=6x-3\\\\6x-5x=1+3\\\\x=4\\\\JK=5x+1=5\times 4+1=21\\\\\\IK=IJ+JK=26+21\\\\IK=47$

You might be interested in

Help with this!!plz. Asap

gizmo_the_mogwai [7]

Hey there! :D

So, we know that there are 3 z's and 3 6's.

3*z= 3z

6*3= 18

3(z+6) <== equivalent expression

3z+18 <== equivalent expression

z is by itself. It shouldn't combine. It should stay the same. 6 as a unit is separate from z.

Choices "B" and "E" are correct.

I hope this helps!
~kaikers

5 0

4 years ago

catriona earned 16 more stickers than Peter. she earned 35 stickers. how many stickers did Peter earn?

expeople1 [14]

Answer:

Step-by-step explanation:

If Catriona has 16 more stickers than Peter than the only thing you have to do is subtract and find the difference

5 0

4 years ago

Please solve this for me thank you!

melamori03 [73]

Answer:

620.14

Step-by-step explanation:

Original Equation:

$\frac{4y}{1.025^4}+y-2y(1.05)^2=1500$

Calculate exponents

$\frac{4y}{1.103812890625}+y-2y(1.1025)=1500\\$

Simplify:

$3.6238025791990193084270042653997y + y - 2.205y = 1500$

Add like terms

$2.4188025791990193084270042653997y \approx 1500$

Divide both sides by 7.012

$y\approx 213.91$ $y\approx620.14$

6 0

2 years ago

Read 2 more answers

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

4 years ago

Find the area of a circle with a diameter of \color{green}{4}4start color green, 4, end color green. Either enter an exact answe

Oxana [17]

Answer:

the area of the circle is 4π

Step-by-step explanation:

The computation of the area of the circle is shown below:

As we know that

The area of the circle = πr^2

where

diameter = 4

So radius = diameter ÷ 2

= 4 ÷ 2

= 2

Now the area of the circle is

= π × 2^2

= 4π

hence, the area of the circle is 4π

8 0

3 years ago