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3 years ago

The numbers -1/5 and -5 are 'negative reciprocals.' True or False?

Mathematics

1 answer:

Maslowich3 years ago

7 0

Answer:

False

Step-by-step explanation:

The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.

-1/5 + -5= -5 1/5

Hope this helps and you understand negative reciprocals more for future problems ahead.

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Select the correct answer.

Marat540 [252]

I just did it it’s 212

5 0

3 years ago

The police department uses a formula to determine the

laiz [17]

9514 1404 393

Answer:

78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

d = 88

0.0015r^2 +r = 88

0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077

The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

8 0

2 years ago

Express the equation x = 10 and y = -3 as a linear equation in two variables

34kurt

Answer:

For x = 10:

$x + 0y - 10 = 0$

For y = - 3:

$0x + y + 3 = 0$

Step-by-step Explanation:

Before we start let's recall the formula for the linear equations.

$ax + bx = c$

So first let's solve for x=10:

$x = 10$

Move 10 to the other side.

$x - 10 = 0$

As there is no y given we will simply write 0y.

$x + 0y - 10= 0$

Now let's solve for y=-3:

$y = - 3$

Move -3 to the other side.

$y + 3 = 0$

As there is no x given we will simply write 0x.

$0x + y + 3 = 0$

If this answer helped you, give this answer a heart, rate it and if you could then please mark it brainliest. Thanks!

8 0

1 year ago

100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

$A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.$

4 0

3 years ago

Read 2 more answers

Subtract.<br> (9x2+3x+6)–(8x2+3)

max2010maxim [7]

Answer:

x^2 +3x +3

Step-by-step explanation:

(9x^2+3x+6)–(8x^2+3)

Distribute the negative sign

(9x^2+3x+6)–8x^2-3

Combine like terms

9x^2–8x^2+3x+6–8x^2-3

x^2 +3x +3

3 0

3 years ago