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Gwar [14]
1 year ago
15

What is the y-intercept of the line that passes

Mathematics
1 answer:
lara [203]1 year ago
5 0

The slope is

\frac{-13-31}{1-(-10)}=-4

So, the equation is

y+13=-4(x-1)

The y-intercept is when x=0, so

y+13=-4(0-1) \\ \\ y+13=4 \\ \\ \boxed{y=-9}

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Is 9.59166304663 a rational or irrational number.
uranmaximum [27]

it’s a rational number

4 0
2 years ago
Read 2 more answers
Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1
maxonik [38]
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3

The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)

Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
7 0
3 years ago
A cube has a surface area of 3/2. What's the volume?
Cloud [144]

Answer:

C

Step-by-step explanation:

Assume the surface area = 6x²

6 is the number of faces and x is the length of the cube

so 3/2 = 6x²

Divide by 6

1/4 = x²

Square root both sides

1/2 = x

Volume is : l×w×h

so 1/2 × 1/2 × 1/2 = 1/8

5 0
3 years ago
Read 2 more answers
A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
Butoxors [25]

Answer: = ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 65.3

Standard deviation r = 5.2

Number of samples n = 36

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

65.3 +/-1.645(5.2/√36)

65.3 +/-1.645(0.86667)

65.3+/- 1.4257

65.3+/- 1.4

= ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

4 0
3 years ago
How do i solve for x and what is the answer
kiruha [24]

Answer:

(4+8)(4) = (x) 3

Step-by-step explanation:

The picture shows two secants intersecting at a point outside the circle.  A beautiful pattern for this is:  along each secant, the product (multiply) the <em>entire</em> secant by the <em>outside</em> part is the same.

(entire secant)(outside part) = (entire secant)(ouside part)

(4+8)(4) = (x)(3)

4 0
3 years ago
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