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Lera25 [3.4K]
3 years ago
6

Is the line through points P(0, –9) and Q(2, –8) perpendicular to the line through points R(1, 4) and S(3, 3)? Explain

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
6 0
If the gradient of one line is m, then any line that's perpendicular to it must have a gradient \frac{-1}{m}. Calculate the gradients of both lines, and see if they are related like this!
Serjik [45]3 years ago
3 0
The quickest way to tell if a line is perpendicular is to find the slope, so you'll need to get the slope for both lines

PQ = ((-8) - (-9))/(2 - 0) = 1/2

and, for reference, a perpendicular slope is the negative reciprocal of the original (so we're looking for -2)

RS = (3 - 4)/(3 - 1) = -1/2

so, no, these two lines aren't perpendicular because the slope of RS is only the negative of PQ, not the negative <em>reciprocal</em>.
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A family of four spent $104 for tickets to a concert on Friday and they spent $140 for tickets to dinner theater on Saturday.Wha
BigorU [14]

Answer:

$61

Step-by-step explanation:

To determine the cost per person to attend these events, you have to add the cost of the tickets for the concert plus the cost of the tickets for dinner theater. After finding the total amount that was spent, you have to divide this by 4 that is the number of people:

Total cost= $104+$140

Total cost= $244

Cost per person= $244/4

Cost per person= $61

According to this, the cost per person to attend these events is $61.

5 0
3 years ago
Read 2 more answers
Find the value of x.<br> х= 2<br> х= 3<br> х= 33<br> х= 52
nlexa [21]

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ QRT is an external angle, thus

∠ QRT = ∠ RTS + ∠ RST, substitute values

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

6 0
3 years ago
Consider the sequence below. What is the 10th term of the sequence?
ahrayia [7]

Answer:

the right answer is a) 23

Step-by-step explanation:

because when we analyze the sequence it is observed that all the numbers are added the value of 3, therefore when arriving at position 10 the sum is 23

7 0
3 years ago
Drag each tile to the correct box.
mr_godi [17]

Answer:

-2.76

-2.57

-2.5

-1.85

-1.58

2.5

2.85

Hopefully this is what you mean. Have a nice day!

Step-by-step explanation:

7 0
3 years ago
Find the equation of the line passing through the points A (2,1) B (7,9)
Bezzdna [24]
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{9 - 1}{7 - 2} = \frac{8}{5} = 1\frac{3}{5}
              y - y₁ = m(x - x₁)
               y - 1 = 1³/₅(x - 2) Point - Slope Form
               y - 1 = 1³/₅(x) - 1³/₅(2)
               y - 1 = 1³/₅x - 3¹/₅
                 + 1           + 1
                    y = 1³/₅x - 2¹/₅ Slope - Intercept Form
         -1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
          -1³/₅x - y = -2¹/₅
     -1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
           1³/₅x - y = 2¹/₅ Standard Form
         1³/₅(0) - y = 2¹/₅
                0 - y = 2¹/₅
                    -y = 2¹/₅
                    -1    -1
                     y = -2¹/₅ Y - Intercept
               (x, y) = (0, -2¹/₅)
7 0
3 years ago
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