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3 years ago

The quadratic formula gives which roots for theequation 3x² + 3x =2?

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

5 0

Answer: the person above is correct

Step-by-step explanation: APEX

tiny-mole [99]3 years ago

3 0

Answer:

The exact values of roots:

$x_{1}=\frac{-3+\sqrt{33}}{6}$

$x_{2}=\frac{-3-\sqrt{33}}{6}$

Approximation:

$x_{1}\approx0.457$

$x_{2}\approx -1.457$

Step-by-step explanation:

$3x^2 + 3x =2\\3x^2 + 3x -2=0$

Using the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-3\pm \sqrt{3^2-4\cdot \:3\left(-2\right)}}{2\cdot \:3}$

$x=\frac{-3\pm\sqrt{33}}{2\cdot \:3}$

$x=\frac{-3\pm\sqrt{33}}6}$

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Find the values of x and y. The diagram is not to scale.

Aleksandr [31]

Step 1

<u>Find the value of x</u>

we know that

$(x-1)\°=74\°$ -------> by corresponding angles, because the given lines are parallel

Solve for x

$(x-1)\°=74\°\\x=74+1 \\ x=75\°$

Step 2

<u>Find the value of y</u>

we know that

$(x-1)+40+(y-2)=180$

substitute the value of x and solve for y

$(75-1)+40+(y-2)=180$

$74+40-2+y=180$

$112+y=180$

$y=180-112$

$y=68\°$

therefore

<u>the answer is the option B</u>

$x=75\°, y=68\°$

8 0

3 years ago

Read 2 more answers

Martin is cleaning the tires of his bicycle. He notices that his bicycle tire has a radius of 8 inches. How much bigger is the a

algol [13]

Strange question, as normally we would not calculate the "area of the tire." A tire has a cross-sectional area, true, but we don't know the outside radius of the tire when it's mounted on the wheel.

We could certainly calculate the area of a circle with radius 8 inches; it's

A = πr^2, or (here) A = π (8 in)^2 = 64π in^2.

The circumference of the wheel (of radius 8 in) is C = 2π*r, or 16π in.

The numerical difference between 64π and 16π is 48π; this makes no sense because we cannot compare area (in^2) to length (in).

If possible, discuss this situatio with your teacher.

8 0

3 years ago

HELP ASAP will give BRAINLIEST

tester [92]

Hey there! I'm happy to help!

The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.

13x+1+5x+4=54

We combine like terms

18x+5=54

We subtract 5 from both sides.

18x=49

We divide both sides by 18.

x=2.7222222....

Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.

5(2.722....)+4=17.61111....... or 17 11/18.

Have a wonderful day and keep on learning! :D

3 0

2 years ago

You make skateboard ramps by cutting

Fynjy0 [20]

The estimated number of ramps that can be cut from the board in discuss is; 6 ramps which is a reasonable assumption provided that each ramp is about 2 feet long.

b). The number of ramps that can be cut from the 12 1/2 feet long board is 6 and hence, the length of wood left is; 1/2.

<h3>What is the number of ramps that can be cut from the 12 1/2 feet long board?</h3>

It follows from the task content that skateboard ramps are made from a 12 1/2 feet long ramp.

Consequently, on the assumption that the quantity by measure of length of the board required to make one skateboard ramp is 2 feet, it follows that the estimated number of ramps that can be made from the board is; 12/2 = 6 skateboard ramps.

Ultimately, the amount of wood which is left over upon making the ramps is; 12 1/2 - 12 = 1/2.

Read more on division;

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4 0

1 year ago

The figure of Circle A shown below has diameter PR which intersects QS at point B and the measurements shown. Calculate the foll

nata0808 [166]

The figure is an illustration of the relationship between the angles in a circle and arc

<h3>The measure of angle PSQ</h3>

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives

∠PSQ = 0.5 * 130

∠PSQ = 65

Hence, the measure of ∠PSQ is 65 degrees

<h3>The measure of arc QR</h3>

A semicircle measures 180 degrees.

This means that:

QR + PQ = 180

So, we have:

QR = 180 - PQ

Substitute 130 for PQ

QR = 180 - 130

QR = 50

Hence, the measure of QR is 50 degrees

<h3>The measure of arc RS</h3>

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70

Hence, the measure of RS is 70 degrees

<h3>The measure of angle AQS</h3>

In (a), we have:

∠PSQ = 65

This means that:

∠PSQ = ∠PSB = 65

So, we have:

∠PSB = 65

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180 ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180

∠SBP + 100 = 180

This gives

∠SBP = 80

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

This gives

AQS = 180 - (180 - 80) - (180 - 130)

Evaluate

AQS = 30

Hence, the measure of AQS is 30 degrees

<h3>The measure of arc PS</h3>

A semicircle measures 180 degrees.

This means that:

PS + RS = 180

This gives

PS = 180 - RS

Where RS = 70

So, we have:

PS = 180 - 70

Evaluate

PS = 110

Hence, the measure of arc PS is 110 degrees

Read more about circles and arcs at:

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6 0

2 years ago