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3 years ago

What is the equation of the line that passes through (-3,4) and (3,8)

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

$y = \frac{2}{3} x + 6$

Step-by-step explanation:

$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{8 - 4}{3 - ( - 3)} \\ m = \frac{4}{6} = \frac{2}{3} \\ slope = \frac{2}{3} \\ using \: point \: slope \: form \\ y - y1 = m(x - x1) \\ y - 8 = \frac{2}{3} (x - 3) \\ y - 8 = \frac{2}{3}x - 2 \\ y = \frac{2}{3} x + 6$

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Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the me

DiKsa [7]

Answer:

Option D is correct.

The measure of $\angleWYX = 150^{\circ}$

Step-by-step explanation:

$\triangle WXY$ is isosceles and $\angle YWX$ and $\angle YXW$ are base angles.

Isosceles Triangle:

A triangle with two equal sides, and two congruent base angles that means the angles are equal

By the definition, the base angles are equal i.e, $m\angle YWX=m\angle YXW$

Since, YZ bisects $m\angle WYX$

Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles

then, $\angle WYX =2\angle XYZ$ or

Substitute the value of $\angle XYZ=(15x)^{\circ}$ ;

$\angle WYX =2(15x)^{\circ} = (30x)^{\circ}$

The sum of measures of these three angles of triangle WXY is equal to the 180 degree.

In triangle WXY we have;

$\angle YXW+\angle WYX+\angle YWX=180^{\circ}$

Substitute the value of $m\angle YWX=m\angle YXW=(2x+5)^{\circ}$ and $\angle WYX=(30x)^{\circ}$ in above formula:

$2\angle YXW+30x=180^{\circ}$ or

$2\cdot(2x+5)+30x=180^{\circ}$

Simplify:

$4x+10+30x=180^{\circ}$

Combine like terms ;

$34x+10^{\circ}=180^{\circ}$ or

$34x=170^{\circ}$

Simplify;

$x= \frac{170}{34} =5^{\circ}$

Substitute the value of x in $\angle WYX$ ;

$\angleWYX = (30x)^{\circ} = 30 \cdot 5 = 150^{\circ}$

Therefore, the measure of $\angleWYX = 150^{\circ}$

7 0

2 years ago

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Find the secant of both angle A and angle B.

Harlamova29_29 [7]

The secant of an angle is <span>the ratio of the hypotenuse to the shorter side adjacent to an acute angle. It is the reciprocal of cosine function. Therefore, the correct answer from the choices is option B.

sec A = 26/24 =13/12
sec B = 26/10 = 13/5
</span>

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2 years ago

Perform matrix subtraction to find the values of w,<br> x, y, and z.

fenix001 [56]

Answer:

w = ⇒ 21

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Step-by-step explanation:

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3 years ago

Identify the properties to solve to equation.

galina1969 [7]

Answer:

Distributive

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Step-by-step explanation:

Hope this helps!

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2 years ago

C is the correct answer right?

enyata [817]

C is the correct answer :)

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3 years ago

What is the equation of the line that passes through (-3,4) and (3,8)​

What is the equation of the line that passes through (-3,4) and (3,8)