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3 years ago

Help pls! simplify -6 x^{2} ÷ 12 - 2(-7) a. -17 b. 35 c. -35 d. 11

Mathematics

1 answer:

Mariana [72]3 years ago

5 0

Answer:

Step-by-step explanation:

Given: $\frac{-6^{2}}{12} -2(-7)$

Using PEDMAS rule to solve it.

Now, simplifying:

We first open parenthesis which is (-7) = -7

= $\frac{-6^2}{12}-2\times -7$

Now, we evaluate the exponent which is $-6^2=-36$

Next, we divide -36 by 12 to get -3

= $\frac{-36}{12}-2\times -7 \\= -3 -2\times -7$

Next, we multiply -2 and -7 to get 14

= $-3 + 14$

Lastly, we add -3 and 14 to get 11

= $11$

∴ Answer is 11

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Can please send answers with step

lawyer [7]

Answer:

A. 14 Sq.cm

Step-by-step explanation:

The area of the circle is 56 cm Sq.

Half of it is 28 Sq.cm

If you combine the 2 triangles it will make an area of 7sq.cm

then the Curved shaded part is also 7sq.cm together of the shaded part will create a quarter of the whole figure

56/4 Sq.cm

= 14Sq.cm

Thank you!!

Mark me as brainliest :>>>

6 0

3 years ago

Problem: 2x+3 (x-4)=x-20

monitta

Let's solve your equation step-by-step.2x+3(x−4)=x−20Step 1: Simplify both sides of the equation.2x+3(x−4)=x−20Simplify: (Show steps)5x−12=x−20Step 2: Subtract x from both sides.5x−12−x=x−20−x4x−12=−20Step 3: Add 12 to both sides.4x−12+12=−20+124x=−8Step 4: Divide both sides by 4.4x/4=−8/4x=−2Answer: x=−2

6 0

3 years ago

Tony was Challenged to a half-court shooting competition. For every half-court shot that he makes, he will earn 20 points. For e

Mkey [24]

Answer:

Tony make 4 half-court shots and misses 16 half-court shots.

Step-by-step explanation:

Given:

Points earned for every successful, half-court shots = $20$

Points deducted for missing the shots = $5$ or $-5$

Total number of shots in the game = $20$

Final points earned by Tony = $0$

According to the question:

Let the number of successful half-court shot be $x$

And the number of shots missed be $20-x$

So,

In terms of points we can re-write it as:

⇒ $20(x)-5(20-x) =0$

⇒ $20x-100+5x=0$

⇒ $25x-100=0$

⇒ $25x-100+100=100$

⇒ $25x=100$

⇒ $\frac{25x}{25} =\frac{100}{25}$

⇒ $x=\frac{100}{25}$

⇒ $x=4$

Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16

6 0

3 years ago

The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?

OleMash [197]

Answer:

The equation of the parabola is $y = -12\cdot x^{2}$ .

Step-by-step explanation:

Since the directrix is of the form $y = a$ , the parabola is vertical. The vertex of the parabola ( $V(x,y)$ ) is the midpoint between the focus ( $F(x,y)$ ) and a point of the directrix ( $P(x,y)$ ), that is to say:

$V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y)$ (1)

If we know that $F(x,y) = (0, -3)$ and $P(x,y) = (0, 3)$ , then the coordinates of the vertex of the parabola:

$V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)$

$V(x,y) = (0, 0)$

The vertex factor ( $p$ ) is the distance of the focus with respect to the vertex:

$p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]}$ (2)

If we know that $F(x,y) = (0, -3)$ and $V(x,y) = (0, 0)$ , then the vertex factor is:

$p = \sqrt{0^{2}+(-3)^{2}}$

$p = -3$

The equation of the parabola in the vertex form is described below:

$y - k = 4\cdot p \cdot (x-h)^{2}$ (3)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$h, k$ - Coordinates of the vertex.

If we know that $(h,k) = (0, 0)$ and $p = -3$ , then the equation of the parabola is $y = -12\cdot x^{2}$ .

6 0

2 years ago

Round 392 to the nearest ten

Bezzdna [24]

Nearest 10 is according to the last digit.
if the digit is >5, it +1 to the tenth digit. If it's <5, it will be reduced to 0.

for your case, 392, 2 < 5, therefore rounded up to nearest tenth is 390.

5 0

3 years ago

Read 2 more answers