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3 years ago

What are the coordinates of the point that is one half the distance between A(−3, −5) and B(2, 7)?

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

$(\frac{-1}{2},1)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

A (-3, -5)

B (2, 7)

Step 2: Find midpoint

Substitute: $(\frac{-3+2}{2},\frac{-5+7}{2})$
Add: $(\frac{-1}{2},\frac{2}{2})$
Divide: $(\frac{-1}{2},1)$

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48 girls, 41 boys, and 5 teachers sat in the gym. Write the ratio of girls to boys in three ways.

Anika [276]

Answer:

Step-by-step explanation:

The answer is D because the question is asking for girls to boys. So anything that has 5 in it is wrong because it isn't asking for teachers, which eliminates A. So since it is asking girls to boys the number order has to be 48 then 41 because it is asking for girls first then to boys. So that makes B wrong. When it comes to the fraction part of the ratio the first number it is asking for (which is girls) always goes on top. So that eliminates C which leaves only answer to be D.

7 0

2 years ago

Type the correct answer in the box. Round off your answer to the nearest integer.

Mkey [24]

Answer:

∠ p ≈ 59°

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD to find DB

DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )

DB = $\sqrt{61}$

---------------------------------------

Using the cosine ratio in right triangle DBC

cos p = $\frac{adjacent}{hypotenuse}$ = $\frac{DC}{DB}$ = $\frac{4}{\sqrt{61} }$ , thus

p = $cos^{-1}$ ( $\frac{4}{\sqrt{61} }$ ) ≈ 59°

6 0

3 years ago

Help please ASAP thanks!

ludmilkaskok [199]

A. 55%
because you have to add 21 and 45 then you divide the answer -66- by how much 2 hours is in minutes. The you get 0.55, so it equals 55%

7 0

2 years ago

Read 2 more answers

Write the equation of a line that has a slope of -3 and goes through the point (5,7).

ss7ja [257]

Answer:

The equation of the line would be D) y - 7 = -3(x -5)

Step-by-step explanation:

In order to find this, we must first start with the base form of point-slope form.

y - y1 = m(x - x1)

Now we put the slope in for m and the point in for (x1, y1)

y - 7 = -3(x - 5)

6 0

3 years ago

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours

uysha [10]

Answer:

$\$(990-t)$

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

$t+y=90$

$y=90-t$ -----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

$z=10t+11y$ ----> equation B

substitute equation A in equation B

$z=10t+11(90-t)$

$z=10t+990-11t$

$z=990-t$

therefore

The expression for the combined total dollar amount is $(990-t)

3 0

2 years ago