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3 years ago

PQ and RS are two lines that intersect at point T, as shown below:

Mathematics

2 answers:

Leokris [45]3 years ago

6 0

Answer:

B. Angle PTR and angle PTS are supplementary angles.

Step-by-step explanation:

photoshop1234 [79]3 years ago

5 0

Answer:

B. Angle PTR and angle PTS are supplementary angles.

Step-by-step explanation:

You might be interested in

Taxicab Ride

lara [203]

Answer: Carlton's cabs is the cheaper option if she wants to travel 15 miles.

Step-by-step explanation:

A linear relationship can be written as:

c = a*n + b

where a is the slope (in this case, the rate per mile), n is the number of miles driven by the taxi, and b is the y-axis (in this case, the initial cost) intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for each table we only need to take two points and construct the linear equation:

Treveon's Taxis:

We can use the two points (1, $5.25) and (3, $9.75)

Then the rate per mile, or the slope, will be:

a = ($9.75 - $5.25)/(3 - 1) = $2.25

This means that each mile costs $2.25

Then the equation will be written as:

c = $2.25*n + b

To find the value of b, we can just replace one of the points in the equation. For example, I will se the point (1, $5.25) this means that we need to replace n by 1, and c by $5.25

Then:

$5.25 = $2.25*1 + b

$5.25 - $2.25 = b

$3 = b

Then the initial cost here is $3.

And the equation will be:

c = $2.25*n + $3.

Carlton's Cabs:

Same approach as before, here I will use the points (1, $7.00) and (3, $10.50)

Then the rate per mile will be:

a = ($10.50 - $7.00)/(3 - 1) = $1.75

The rate per mile is $1.75 (is cheaper than in the previous case)

Then at the moment, the equation is:

c = $1.75*n + b

To find the initial cost, we do the same as before, here i will use the point (1, $7.00)

$7.00 = $1.75*1 + b

$7.00 - $1.75 = b

$5.25 = b

The initial cost here is $5.25

And the equation will be:

c = $1.75*n + $5.25

Now, which one is cheaper for 15 miles?

We only need to replace n by 15 in both equations, and see in which one the cost is lower:

Treveon's Taxis:

c(15) = $2.25*15 + $3 = $36.75

Carlton's Cabs:

c(15) = $1.75*15 + $5.25 = $31.5

Then Carlton's Cabs is a better option if you want to travel 15 miles.

6 0

3 years ago

What is the slope of the line that passes through the points (4, 10) and (1,10)?

Y_Kistochka [10]

Answer:

Step-by-step explanation:

We have two points so we can use the sloe formula

m = (y2-y1)/(x2-x1)

= ( 10-10)/(1-4)

= 0/ -3

= 0

4 0

3 years ago

Read 2 more answers

The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros o

earnstyle [38]

• First way to solve:
We'll manipulate the expression of the equation:

$y=x^3-3x^2+16x-48\\\\ y=x^2(x-3)+16(x-3)\\\\ y=(x-3)(x^2+16)$

If we have y=0:

$x-3=0~~~or~~~x^2+16=0\\\\ x=3~~~or~~~x^2=-16\\\\ x=3~~~or~~~x=\pm\sqrt{-16}\\\\ x=3~~~or~~~x=\pm4i$

Then, the function has one real zero (x=3) and two imaginary zeros (4i and -4i).

Answer: B

• Second way to solve:

The degree of the function is 3. So, the function has 3 complex zeros.

Since the coefficients of the function are reals, the imaginary roots are in a even number (a imaginary number and its conjugated)

The function "has only one non-repeated x-intercept", then there is only one real zero.

The number of zeros is 3 and there is 1 real zero. So, there are 2 imaginary zeros.

Answer: B.

3 0

3 years ago

find the equation of the perpendicular bisector of the line segment joining the points (3,8) and (-5,6).

IgorLugansk [536]

Answer:

y = - 4x + 3

Step-by-step explanation:

The perpendicular bisector is positioned at the midpoint of AB at right angles.

We require to find the midpoint and slope m of AB

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)