When the factors of a trinomial are (x + p) and (x + q) then the constant term

Interior and Exterior Triangle Angles

Luden [163]

Sum of two interiors=exterior

$\\ \rm\bull\rightarrowtail 2x-3+2x+15=7x-18$

$\\ \rm\bull\rightarrowtail 4x+12=7x-18$

$\\ \rm\bull\rightarrowtail 3x=30$

$\\ \rm\bull\rightarrowtail x=10$

m<GHI=2(10)-3=17

6 0

1 year ago

Can anyone please help me with this? i need a step by step explanation please! very appreciated:)

EastWind [94]

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

5 0

2 years ago

Read 2 more answers

In which graph do all of thw indicated points have x-coordinates that satisfy x <-3

Helga [31]

You would have to choose a graph with all x coordinates equaling less than negative 3

your answer would have to be to have all x coordinates to the left of -3 on the x axis

your answer is A :)

5 0

3 years ago

Read 2 more answers

Pls answer giving brainleist

astra-53 [7]

Answer:

The last 3 are OR inequalities

Step-by-step explanation:

Because they are not meeting the center, they are going opposite directions.

Hope This works.

8 0

2 years ago

The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 mi

Orlov [11]

Answer:

a) 0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

b) 0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

c) 0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

d) 0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

Step-by-step explanation:

Problems of normally distributed distributions are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 51200, \sigma = 8200$