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3 years ago

7

What is the value of x? x= ____ units

2 answers:

alekssr [168]3 years ago

6 0

We have similar triangles RST ,TSR and TRQ.The triangles are similar to each other .

Similar triangles have sides in proportion.

In similar triangles TQR and TRS:

$\frac{TR}{ST} =\frac{TQ}{TR}$

Or,

$\frac{x}{9} =\frac{16}{x}$

Cross multiplying

$x^{2}=16(9)$

$x^{2}=144$

Taking root

x=12.

Vera_Pavlovna [14]3 years ago

3 0

∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144

∴ x = √144 = 12

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Factor completely. 12x4+18x3+45x2 Enter your answer in the box.

lukranit [14]

QUESTION 1

The given expression is

$12x^4+18x^3+45x^2$

The greatest common factor is $3x^2$ .

We factor to obtain;

$3x^2(4x^2+6x+15)$

QUESTION 2

The given quadratic equation is

$x^2+6x-72=0$

We split the middle term to obtain

$x^2+12x-6x-72=0$

Factor by grouping;

$x(x+12)-6(x+12)=0$

$(x+12)(x-6)=0$

Use zero product property;

$(x+12)=0\:\:or\:\:(x-6)=0$

$x=-12\:\:or\:\:x=6$

QUESTION 3

The given system of equation is

$3x+4y=-8$

$7x-3y=6$

If we multiply $3x+4y=-8$ by 3, we obtain;

$9x+12y=-24$

If we multiply $7x-3y=6$ by 4 we obtain;

$28x-12y=24$

Adding the last two equations will give us;

$37x=0$

The y-variable is eliminated.

Answer:Multiply 3x+4y=−8

by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.

6 0

3 years ago

Number 3 plzzzzzzzzz

zhenek [66]

Answer:

A

Step-by-step explanation:

I'm pretty sure some smart guy in Greece noticed this but:

Since 4 + 8 = 12, thats the only option where 2 of the smaller sides add up to the big one. I don't know much of the reasoning behind this but my math teacher showed it to us by using Popsicle sticks to make triangles. You can try it if that helps you think about it. Apparently, if you add up the 2 smaller sides, then it HAS to be more than the biggest side.

5 0

3 years ago

Read 2 more answers

Solve 9x + 3 = -33 . PLEASE HELP ME IT WILL MAKE MY DAY

ValentinkaMS [17]

$: \implies \sf 9x + 3 = - 33$

$: \implies \sf 9x = - 33 - 3$

$: \implies \sf 9x = - 36$

$: \implies \sf x = \dfrac{ - 36}{9} = - 4$

$\therefore \sf x = -4$

8 0

3 years ago

Read 2 more answers

Levens and frank shared a pizza levens ate 1/2 and frank ate 1/6 how much more did levens eat than Frank?

bezimeni [28]

Answer:

the answer is 9

Step-by-step explanation:

3 0

3 years ago

A donut machine makes small glaze donuts the diameter of each doughnut is 8 cm. What is the circumference of each doughnut creat

kotegsom [21]

Answer:

50.29 cm

Step-by-step explanation:

Given:

Diameter of each doughnut = 8 cm

To find: circumference of each doughnut

Solution:

Circumference refers to the boundary of a geometric figure.

A doughnut has the shape of a circle.

Let r represents the radius of the circle.

Diameter of each doughnut = 8 cm

Radius of each doughnut (r) = Diameter/2

$=\frac{8}{2}\\ =4 \,\,cm$

Circumference of each doughnut $=\pi r^2\\$

Put $r=4\,\,,\pi=\frac{22}{7}$

So, circumference = $=\frac{22}{7} (4)^2$

$=\frac{352}{7} \,\,cm\\=50.29\,\,cm$

4 0

3 years ago