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rosijanka [135]
3 years ago
12

A line that passes through th epoints (2,3) and (b,7) is parallel to the line y = -2x + 17. Find the value of b

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

Answer:

b = 0

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 2x + 17 is in this form with slope m = - 2

• Parallel lines have equal slopes, hence

slope of line through the 2 points is - 2

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)

m = \frac{7-3}{b-2} = \frac{4}{b-2}, hence

\frac{4}{b-2} = - 2 ( cross- multiply )

- 2(b - 2) = 4

- 2b + 4 = 4 ( subtract 4 from both sides )

- 2b = 0 ⇒ b = 0



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A restaurant chef bought potatoes at four different stores. The table shows the amount of the potatoes she bought at each store
hichkok12 [17]

Answer:

The way to answer this question is to find out the price per pound potato by dividing the amount the restaurant chief paid by the number of pounds bought.

Your question lacks details on the pounds bought in the other stores so I will assume these figures and you can use it as a reference.

Restaurant B - 2 pounds

Restaurant C - 12 pounds

Restaurant D - 5 pounds

Price per pound

Restaurant A = 6.60/8

= $0.83

Restaurant B = 3.50/2

= $1.75

Restaurant C = 9.75/12

= $0.82

Restaurant D = 4.80/8

= $0.96

<u><em>Restaurant C </em></u><em>has the lowest price per pound for potatoes. </em>

3 0
3 years ago
One factor of 7x2 + 33x – 10 is
stiv31 [10]

7x^{2} +33x-10=0

\implies 7x^{2} +35x-2x-10=0\\\implies7x(x+5)-2(x+5)=0\\\implies (7x-2)(x+5)=0

7x - 2 = 0\\\implies \boxed{\bold{x = \frac{2}{7} }}

x+5=0\\\implies \boxed{\bold{x=-5}}

6 0
3 years ago
A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili
Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

Let X be the number of mistake

P(X

P(6\leq X\leq 20)=0.53

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. P(X>20)

P(X>20)=1-P(X\leq 20)

P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))

P(X>20)=1-(0.26+0.53)

P(X>20)=1-(0.79)

P(X>20)=0.21

b. A student makes 6 or more mistakes

i.e. P(X\geq 6)=1-P(X

P(X\geq 6)=1-0.26

P(X\geq 6)=0.74

c. A student makes at most 20 mistakes

i.e. P(X\leq 20)=1-P(X>20)

Using 'a' part  P(X>20)=0.21

P(X\leq 20)=1-0.21

P(X\leq 20)=0.79

d. Which two of these three events are​ complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0
3 years ago
Read 2 more answers
I'm really bad at these questions
Diano4ka-milaya [45]

Answer:

30 centimeters^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

A= (b*h)/2

In this triangle, the base is 12 cm. The height is 5 cm, since it forms a right angle with the base.

b= 12 cm

h= 5 cm

A= (12 cm * 5 cm) / 2

Solve inside the parentheses first. Multiply 12 cm and 5 cm.

A= (60 cm^2) / 2

Divide 60 cm^2 by 2

A= 30 cm ^2

The area of the triangle is 30 square centimeters.

6 0
3 years ago
Read 2 more answers
Which is one way to check 102÷6=17
posledela
D is the correct answer i think
5 0
3 years ago
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