Write an equation and point slope form for the given point and slope:Point: (4,-6)Slope: 2

Mathematics

1 answer:

irina1246 [14]3 years ago

4 0

Answer:

$\displaystyle y + 6 = 2(x - 4)$

Explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

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malfutka [58]

Answer:27 divided by 3 to get 9 or add 3 repetitively to get 27 or 3x=27

Step-by-step explanation:

7 0

3 years ago

Can someone please help me and explain if you can

nadezda [96]

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

We are given the values of ∠4 $(-2x+94)$ and ∠8 $(-5x+139)$ .

Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also $-2x+94$ .
∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

$-2x+94=-5x+139$

Solve for x. Subtract 94 from both sides:

$-2x+94-94=-5x+139-94\\\\-2x=-5x+45$

Add 5x to both sides:

$-2x+5x=-5x+5x+45\\\\3x=45$

Divide both sides by 3:

$\frac{3x}{3} =\frac{45}{3} \\\\x=15$

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

$x=15\\\\-2(15)+94\\\\-30+94\\\\64$