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3 years ago

Gianna skied three times farther than Xavier. Xavier skied four miles. How far did Gianna ski?

Mathematics

2 answers:

lana [24]3 years ago

7 0

4x3=12 Gianni skied 12 miles

forsale [732]3 years ago

6 0

4X3= 12, therefor Gianna skied 12 miles.

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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

Answer-

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

Solution-

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

3 years ago

Which system is equivalent y=-2x^2 y=x-2

german

The wording of your question suggests that there were answer choices. Mind sharing them?

The system y=-2x^2 y=x-2 would be best written as:

y=-2x^2
y=x-2 If you subst. x-2 for y in the first equation, you'll get:
x-2 = -2x^2, or 2x^2 + x - 2 = 0.

7 0

3 years ago

Read 2 more answers

HELP PLEASEEEEEE NO LINKS PLEASE 20PTS!!!!

nevsk [136]

Answer:

$x = 5$

Step-by-step explanation:

$3x + 11 = 26$

$3x = 15$

$x = 5$

5 0

3 years ago

Can some one help me

il63 [147K]

Answer:

5/6

Step-by-step explanation:

Dividing fractions:

Step 1: Rewrite the first fraction as it is.

Step 2: Replace the division sign with a multiplication sign.

Step 3: Flip the second fraction.

Step 4: Multiply the fractions and reduce the product if necessary.

Let's use the rule of dividing fractions on your problem.

Step 1: Rewrite the first fraction as it is.

$\dfrac{5}{8}$

Step 2: Replace the division sign with a multiplication sign.

$\dfrac{5}{8} \times$

Step 3: Flip the second fraction.

$\dfrac{5}{8} \times \dfrac{4}{3}$

Step 4: Multiply the fractions and reduce the product if necessary.

To multiply fractions, multiply the numerators together, and multiply the denominators together.

$\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}$

We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.

$= \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6}$

5 0

3 years ago

I NEED HELP!!!!! PLZ I NEED IT BEFORE AT 9!!!!!!

Jet001 [13]

At least we're both struggling with the same type of math ; -;

4 0

3 years ago