All categories

3 years ago

What is the distance between the points (-2, 4) and (10, -1)?

Mathematics

1 answer:

Anarel [89]3 years ago

4 0

Answer:

Step-by-step explanation:

D=(-2-10)2 + (4-(-1))2

=(-12)2 + (5)2

=144 + 25

=169 then put under radical

then the answer is 13

You might be interested in

Can someone please help me??? Its urgent. 15 Points.

maxonik [38]

Answer:

The measure of arc ABC is 180 + x ⇒ 1st answer

Step-by-step explanation:

Let us revise some notes about the arcs of a circle

The measure of an inscribed angle is half the measure of its subtended arc
The measure of the central angle is equal to the measure of its subtended arc
If two tangents intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs

∵ CD and AD are two tangents to the given circle

∵ They intersected at point D out side the circle

∵ The measure of ∠ADC = x°

- By using the 3rd note above

∵ The intercepted arcs are arc ABC and arc AC

∴ x° = $\frac{1}{2}$ (measure of arc ABC - measure of arc AC)

- Multiply both sides by 2

∴ 2 x = (measure of arc ABC - measure of arc AC)

- Add measure of arc AC in both sides

∴ 2 x + measure of arc AC = measure of arc ABC ⇒ (1)

∵ The measure of a circle is 360°

∵ The arcs ARC and AC is formed the circle

∴ Measure of arc ABC + measure of arc AC = 360°

- Subtract measure of arc ABC from both sides

∵ Measure of arc AC = 360 - measure of arc ABC ⇒ (2)

- Substitute (2) in (1)

∴ 2 x + 360 - measure of arc ABC = measure of arc ABC

- Add measure of arc ABC to both sides

∴ 2 x + 360 = 2 measure of arc ABC

- Divide both sides by 2

∴ x + 180 = measure of arc ABC

∴ The measure of arc ABC is 180 + x

5 0

3 years ago

Read 2 more answers

Question 5 of 8 -

Ilya [14]

Answer:

8 x 2.48 = 19.84

Step-by-step explanation:

We need to find the product for the expression 8 x 2.48.

First no is 8 and second no is 2.48

Product means to multiply.

We can write 2.48 as $\dfrac{248}{100}$

i.e.

$8\times \dfrac{248}{100}\\\\=\dfrac{1984}{100}$

Now, apply decimal after 9. So,

8 x 2.48 = 19.84

Hence, the correct option is (b).

7 0

3 years ago

Does anybody know how to do that

irinina [24]

Answer:

how to do what? there is no question attached

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

X/3-15=-2 solve for x

Otrada [13]

Answer:

x = 45

Step-by-step explanation:

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

x/3-(15)=0

Step 1 : Simplify

$\frac{x}{3}$

Equation at the end of step 1 :

$\frac{x}{3}$ - 15 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

$15=\frac{15}{1} =\frac{15*3}{3}$

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

$\frac{x-(15*3)}{3} =\frac{x-45}{3}$

Equation at the end of step 2 :

$\frac{x-45}{3} =0$

Step 3 :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

$\frac{x-45}{3}*3=0*3$

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-45 = 0

Solving a Single Variable Equation :

Solve : x-45 = 0

Add 45 to both sides of the equation :

x = 45

One solution was found :

x = 45

3 0

3 years ago

After substituting, what is the first step when evaluating 4y+9/7 when y=8

kenny6666 [7]

Answer:

multiply 4 and 8 to get 32

Step-by-step explanation:

After substituting, the expression is ...

4·8 +9/7

The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...

32 + 9/7

Now, you can do the division:

32 + (1 2/7)

And, finally, the addition:

33 2/7

___

Or, you could skip the division and go straight to adding a whole number and a fraction:

(32·7 +9)/7 = (224+9)/7 = 233/7

7 0

4 years ago