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3 years ago

Find the distance between the points (-1/2,-8) and (-1/2,-2)

Mathematics

2 answers:

Lana71 [14]3 years ago

5 0

Answer:

$d = 6$

Step-by-step explanation:

-To determine the distance, use the Distance Formula to help you solve this problem:

$d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}$

Apply points $(-\frac{1}{2}, -8)$ and $(-\frac{1}{2}, -2)$ for the distance formula:

$d = \sqrt{(-\frac{1}{2} + \frac{1}{2})^2 + (-2 + 8)^2}$

Then, solve:

$d = \sqrt{(-\frac{1}{2} + \frac{1}{2})^2 + (-2 + 8)^2}$

$d = \sqrt{0^2 + (6)^2}$

$d = \sqrt{0 + 36}$

$d = \sqrt{36}$

$d = 6$

So, the distance is 6.

m_a_m_a [10]3 years ago

4 0

Answer:

distance between those points is 6 units.

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Pls someone explain this to me Thank u.

WITCHER [35]

Answer:

a) a= 60

c) a= 135

d) a= 40

f) a= 115

g) a= 37

i) a= 130

Step-by-step explanation:

If you see a little square at the angle, this means that the angle is a right angle, which means that it is 90°.

Let's look at Q5a.

a) a° +30°= 90°

a°= 90° -30°

a°= 60°

a=60

Questions 5b has the same concept.

The sum of the angles on a straight line is 180°. The abbreviation used for this is (adj. ∠s on a str. line).

Let's look at Q5c.

c) a° +45°= 180° (adj. ∠s on a str. line)

a°= 180° -45°

a°= 135°

a= 135

Question 5d uses the same concept too.

Let's look at Q5d.

d) 90° +50° +a°= 180° (adj. ∠s on a str. line)

a°= 180° -90° -50°

a°= 40°

a= 40

Vertically opposite angles are equal. The abbreviation written for this is (vert. opp. ∠s).

Use this for questions 5f and 5g.

f) a°= 115° (vert. opp. ∠s)

a= 115

g) a°= 37°

a= 37

The sum of angles on a point is 360°. This will help you solve questions 5h and 5i.

i) 140° +90° +a° = 360° (∠s at a point)

a° +230°= 360°

a°= 360° -230°

a°= 130°

a= 130

7 0

4 years ago

What’s the domain and range

IrinaK [193]

Step-by-step explanation:

the domain is the interval or set of all valid x-values for the function.

and the range is the interval or set of all valid y-values (functional result values) for the function.

so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.

now, what result values (y-values) are possible ?

we see, that the smallest functional value is y = -2.

and from there all y-values up to +infinity are possible.

so, the range is [-2, +infinity).

please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.

and infinity is not a value. hence they are not included in such intervals.

6 0

3 years ago

The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference betw

Alchen [17]

Let $x$ represent Mandy's age and $y$ represent Sandy's.

From the first statement we have:
$5x=2y$

From the second statement we have:
$2*(x + 8) = 1*(y + 8)$

So we need to solve this system of equations:
$\left \{ {{5x=2y} \atop {2(x+8)=y+8}} \right.$

Express $y$ from first equation equation:
$2y=5x$
$y=\frac{5}{2}x$

Replace found value in second equation and solve the resulting equation:
$2(x+8)=\frac{5}{2}x+8$
$2x+16=\frac{5}{2}x+8$
$2x-\frac{5}{2}x=8-16$
$-\frac{1}{2}x=-8$
$\frac{1}{2}x=8$
$x=8*2=16$

Replace found value in first equation and solve the resulting equation:
$5*16=2y$
$2y=80$
$y=40$

So, Mandy is 16 years old and Sandy is 40 years old. The difference between their ages is 40 - 16 = 24 years.

6 0

4 years ago

Which option is a better deal? 12 ounces of cereal for $2.99 or 17ounces of cereal for $3.52

masya89 [10]

Answer:

17 ounce cereal

Step-by-step explanation:

It is only a 53. cent difference so the better option would be the 17 ounce bag

8 0

3 years ago

What is the value of 3 + (-1/4)² ÷ 1/2? A. 6 1/8 B. 21 1/8 C. 7 D. 3 1/8

Amiraneli [1.4K]

3 + (-1/4)² ÷ 1/2
= 3 + 1/16 * 2
= 3 + 1/8
= 3 1/8

answer

D. 3 1/8

6 0

3 years ago