Write the equation of a line with a slope of 7 and a y-intercept of -3. Put the equation in slope-intercept form.

What is the y-intercept of the line graphed on the grid? A) -1 B) 2 C) -2 D) 1

GalinKa [24]

-2 is the y-intercept
Hope this helps:)

3 0

3 years ago

The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. Wha

valkas [14]

The answer is 0.3413 because Explanation:

z=x−uσ, where u=6 0andσ=10.

Therefore the probability student finish the test between 50 to 60 minutes is,

P(50≤x≤60)=P(50−6010≤z≤60−6010)

P(−1≤z≤0)=P(z≤0)−P(z≤−1)

=0.5000−0.1587=0.3413

3 0

3 years ago

Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)

Artemon [7]

The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.

So, we can make the equation $y=2x+b$ . We need to find b, and put b in.

To find b, put in the numbers of y and x.

$10=2(-1)+b$

Solve for b:

$10=-2+b\\b=10+2\\b=12$

Now replace b in the original equation with 12 and that will be the answer:

The answer is $y=2x+12$ .

5 0

3 years ago

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C