All categories

3 years ago

What is the slope of the line that passes through the points (5,-4) and (7,-4).

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

the slope is 0

Step-by-step explanation:

the slope is zero because to find the slope the equation is the second y - the first y over the second x - the first x to it would be -4 - -4 which is 0 over 7-5 which is 2 so it would be 0/2 and that is 0. You can also tell because if you mark them down on a graph, the line would be completely horizontal with a slope of 0

You might be interested in

What is the domain of F(x)=9-x??<br> F F(x) >9<br> G All real numbers<br> H-3 1 x59

Julli [10]

I’m pretty sure it’s h because the lines meet in the x axis

8 0

3 years ago

Name and describe two theorems that you can use to prove two triangles are congruent?

Triss [41]

Answer:

The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.

Step-by-step explanation:

found this on varsitytutors.com

7 0

3 years ago

Does (3, 3) make the equation y = x true?

Vadim26 [7]

Answer:

yes

Step-by-step explanation:

Substitute the points into the equation

y =x

3=3

This is true so (3,3) is a solution

7 0

3 years ago

The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

7 0

3 years ago

1/4b^2+ 4bc + 16c?<br> Answer?

Charra [1.4K]

Answer:

1/4b^2+ 4bc + 16c?=4

Step-by-step explanation:

STEP

Simplify —

Equation at the end of step

((— • b2) + 4bc) + 16c

STEP

Equation at the end of step 2

(—— + 4bc) + 16c

STEP

Rewriting the whole as an Equivalent Fraction

3.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

4bc 4bc • 4

4bc = ——— = ———————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b2 + 4bc • 4 b2 + 16bc

———————————— = —————————

4 4

Equation at the end of step

(b2 + 16bc)

——————————— + 16c

STEP

Rewriting the whole as an Equivalent Fraction

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

16c 16c • 4

16c = ——— = ———————

1 4

STEP

Pulling out like terms

5.1 Pull out like factors :

b2 + 16bc = b • (b + 16c)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

b • (b+16c) + 16c • 4 b2 + 16bc + 64c

————————————————————— = ———————————————

4 4

3 0

3 years ago