2. What is the value of win this equation? 5w+ 3 = 9

How to find the point that is equidistant from (5,-5) and (1,1)

torisob [31]

<h3>Answer: (3, -2)</h3>

Explanation:

Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)

The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.

Add them up: 5+1 = 6

Divide by two: 6/2 = 3

The x coordinate of the midpoint is x = 3

Repeat for the y values -5 and 1

Add: -5+1 = -4

Divide in half: -4/2 = -2

The y coordinate of the midpoint is y = -2

So the midpoint is M = (x,y) = (3,-2)

If you were to use the distance formula, you would find that

distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)

This is what it means to be "equidistant" (aka "equally distant")

7 0

3 years ago

Hurry!! Worth 10 points

Solnce55 [7]

Answer:

7 - 2x

Step-by-step explanation:

We start with

-2x + 7

And we can separate the terms

(-2x) (+7)

and move them around

(+7) (-2x)

7 - 2x is an equivalent expression.

7 0

2 years ago

Below, the two-way table is given for a class

Nataliya [291]

Answer:

2/7 = 29% (nearest percent)

Step-by-step explanation:

Calculate the totals and add them to the table:

$\begin{array}{| c | c | c | c | c | c |}\cline{1-6} & \sf Freshman & \sf Sophmore & \sf Juniors & \sf Seniors & \sf Total \\\cline{1-6} \sf Male & 4 & 6 & 2 & 2 & 14\\\cline{1-6} \sf Female & 3 & 4 & 6 & 3 & 16\\\cline{1-6} \sf Total & 7 & 10 & 8 & 5 & 30\\\cline{1-6}\end{array}$

Probability Formula

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student is male

Use the given table to calculate the probability that the student is male:

$\sf \implies P(B)=\dfrac{14}{30}$

And the probability that the student is a freshman and male:

$\implies \sf P(A \cap B)=\dfrac{4}{30}$

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

Conditional Probability Formula

The probability of A given B is:

$\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}$

Substitute the found values into the formula:

$\implies \sf P(Freshman|Male)=\dfrac{\dfrac{4}{30}}{\dfrac{14}{30}}=\dfrac{4}{14}=\dfrac{2}{7}=0.28571...=29\%$

Therefore, the probability that the student is a freshman given they are male is 29% (nearest percent).

Learn more about conditional probability here:

brainly.com/question/28028208

brainly.com/question/23957743

8 0

1 year ago

Three added to four times a number is equal to five less than six times the number

LiRa [457]

Answer:

C: 4

Step-by-step explanation:

4x+3=6x-5

Add five to both sides

4x+8=6x

Subtract both sides by 4x

8=2x

Divide both sides by 2

X=4

3 0

3 years ago

Read 2 more answers

Help, I need answer ASAP

Kryger [21]

Step-by-step explanation:

HL states that a hypotenuse and leg of a right triangle must be congruent, so you would need to know the hypotenuses are congruent and a leg is congruent. For 6, You're only given 2 sides instead of 3, and since this is a Side-Side-Side Postulate, you must have the third sides be congruent. For 7, Angle-Side-Angle requires to known congruent angles and a side in between them, so you would need to know that angle I is congruent to angle L. Lastly, Side-Angle-Side needs two sides and an angle between them, so you would need to know that side JI is congruent to HD. HI is already congruent to itself by the Reflexive Property, so you only need to know JI ≅ HD.

3 0

2 years ago