Ask question

Ask question

All categories

3 years ago

14

Solve for y- 6y-1.5x=8

1 answer:

VARVARA [1.3K]3 years ago

8 0

$6y-1.5x=8\qquad\text{add 1.5x to both sides}\\\\6y=1.5x+8\qquad\text{divide both sides by 6}\\\\y=\dfrac{1.5}{6}x+\dfrac{8}{6}\\\\y=\dfrac{15}{60}x+\dfrac{4}{3}\\\\\boxed{y=\dfrac{1}{4}x+\dfrac{4}{3}}$

You might be interested in

11th grade geometry:

Aliun [14]

Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base $SB$ is 8.89 units.

<u>Formula for the Area of triangle</u>, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. <em>(Rounded to the nearest unit)</em>

3 0

3 years ago

What is the sign of the larger absolute value

Anna11 [10]

> this is the sign for the larger absolute value

8 0

3 years ago

Suppose that LMN is isosceles with base LN suppose that M

ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

$m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ$

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

$LM=MN$ (Given)

$m\angle N=m\angle L=(2x+36)^\circ$ (Base angles of an isosceles triangle are equal)

Now,

$m\angle L+m\angle M+m\angle N=180^\circ$

$(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ$

$(7x+89)^\circ=180^\circ$

$(7x+89)=180$

On further simplification, we get

$7x=180-89$

$7x=91$

$x=\dfrac{91}{7}$

$x=13$

The value of x is 13. Using this value, we get

$m\angle L=(2(13)+36)^\circ$

$m\angle L=(26+36)^\circ$

$m\angle L=62^\circ$

Similarly,

$m\angle M=(3(13)+17)^\circ$

$m\angle M=(39+17)^\circ$

$m\angle M=56^\circ$

And,

$m\angle N=m\angle L$

$m\angle N=62^\circ$

Therefore, the measure of angles are $m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ$ .

5 0

3 years ago

1200 people visited a museum. 240 of the visitors were children. what percent of the visitors were children?

sergeinik [125]

Answer:

20 percent

Step-by-step explanation:

To find the percentage that were children, we take the number of children over the total and multiply by 100%

There are 240 children and 1200 total people

240/1200 * 100%

.2*100%

20%

5 0

3 years ago

Read 2 more answers

"let v be the event that a computer contains a virus, and let w be the event that a computer contains a worm. suppose p(v) = 0.1

morpeh [17]

Here we might have to find p(v intersection w) and for that we use the following formula

p(v U w) = p(v)+p(w)-p(v intersection w)

And it is given that p(v) =01.3 , p(w) = 0.04 and p(v U w ) = 0.14 .

Substituting these values in the formula, we will get

0.14 = 0.13 +0.04 -p(v intersection w)

p(v intersection w) =0.13 +0.04 -0.14 = 0.03

So the required answer of the given question is 0.03 .

7 0

2 years ago