Estimate: 67times85 plzz help me out with my home work!!

MAXImum [283]

Answer:

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Step-by-step explanation:

5 0

4 years ago

What is the number of square units in the area of the triangle is vertices are points A ( 2,0), B( 6,0) and C (8,5)

lakkis [162]

From points (2, 0) and (6, 0), you can get base = 6 - 2 = 4.

From point (8, 5), you get a height of length 5.

A = bh/2 = 4 * 5/2 = 10

Area = 10 square units

3 0

3 years ago

Use a graphing tool to solve the system. {13x+6y=−30x−2y=−4 Which ordered pair is the best estimate for the solution to the syst

Gnoma [55]

13x+6y = -30................y = -5 -13x/6
x−2y=−4...................... y = x/2 +2 

If we graph both lines we can get the solution of the system (point of intersection)

The best estimate is (x,y) = (-2.625, 0.688)

8 0

3 years ago

Read 2 more answers

PLS HELP! YOU WILL GET A GOOD DEED:*

nasty-shy [4]

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

4 0

3 years ago

Read 2 more answers

Solve for x 0=3x^2+3x+7

Aloiza [94]

Answer:

x =(3-√-75)/-6=1/-2+5i/6√ 3 = -0.5000-1.4434i

x =(3+√-75)/-6=1/-2-5i/6√ 3 = -0.5000+1.4434i

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

0-(3*x^2+3*x+7)=0

Step by step solution:

Step 1:

Equation at the end of step 1 :

0 - (( $-3x^{2}$ + 3x) + 7) = 0

Step 2:

Pulling out like terms:

2.1 Pull out like factors:

$-3x^{2}$ - 3x - 7 = -1 • ( $3x^{2}$ + 3x + 7)

Trying to factor by splitting the middle term

2.2 Factoring $3x^{2}$ + 3x + 7

The first term is, $3x^{2}$ its coefficient is 3 .

The middle term is, +3x its coefficient is 3 .

The last term, "the constant", is +7

Step-1 : Multiply the coefficient of the first term by the constant 3 • 7 = 21

Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is 3 .

-21 + -1 = -22

-7 + -3 = -10

-3 + -7 = -10

-1 + -21 = -22

1 + 21 = 22

3 + 7 = 10

7 + 3 = 10

21 + 1 = 22

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 3 :

$-3x^{2}$ - 3x - 7 = 0

Step 3:

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = $-3x^{2}$ -3x-7

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.5000

Plugging into the parabola formula -0.5000 for x we can calculate the y -coordinate :

y = -3.0 * -0.50 * -0.50 - 3.0 * -0.50 - 7.0

or y = -6.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = $-3x^{2}$ -3x-7

Axis of Symmetry (dashed) {x}={-0.50}

Vertex at {x,y} = {-0.50,-6.25}

Function has no real roots

Solve Quadratic Equation by Completing The Square

3.2 Solving $-3x^{2}$ -3x-7 = 0 by Completing The Square .

Multiply both sides of the equation by (-1) to obtain positive coefficient for the first term:

$3x^{2}$ +3x+7 = 0 Divide both sides of the equation by 3 to have 1 as the coefficient of the first term :

$x^{2}$ +x+(7/3) = 0

Subtract 7/3 from both side of the equation :

$x^{2}$ +x = -7/3

Now the clever bit: Take the coefficient of x , which is 1 , divide by two, giving 1/2 , and finally square it giving 1/4

Add 1/4 to both sides of the equation :

On the right hand side we have :

-7/3 + 1/4 The common denominator of the two fractions is 12 Adding (-28/12)+(3/12) gives -25/12

So adding to both sides we finally get :

$x^{2}$ +x+(1/4) = -25/12

Adding 1/4 has completed the left hand side into a perfect square :

$x^{2}$ +x+(1/4) =

(x+(1/2)) • (x+(1/2)) =

(x+(1/2))2

Things which are equal to the same thing are also equal to one another. Since

$x^{2}$ +x+(1/4) = -25/12 and

$x^{2}$ +x+(1/4) = (x+(1/2))2

then, according to the law of transitivity,

(x+(1/2))2 = -25/12

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x+(1/2))2 is

(x+(1/2))2/2 =

(x+(1/2))1 =

x+(1/2)

Now, applying the Square Root Principle to Eq. #4.2.1 we get:

x+(1/2) = √ -25/12

Subtract 1/2 from both sides to obtain:

x = -1/2 + √ -25/12

√ 3 , rounded to 4 decimal digits, is 1.7321

So now we are looking at:

x = ( 3 ± 5 • 1.732 i ) / -6

Two imaginary solutions :

x =(3+√-75)/-6=1/-2-5i/6√ 3 = -0.5000+1.4434i

or:

x =(3-√-75)/-6=1/-2+5i/6√ 3 = -0.5000-1.4434i

6 0

3 years ago