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4 years ago

Points A(–3, –2) and C(4, 5) are the endpoints of a diagonal of a square. Give the coordinates of the other two vertices.

Mathematics

1 answer:

blagie [28]4 years ago

6 0

Answer:

B(4,-2) D(-3,5)

Step-by-step explanation:

you must graph the points and project the lines in X and Y until they intersect and form a square

I attached an image

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Why is one called the multiplicative identity? HELP!!!!

Serjik [45]

The Multiplicative Identity Property. This means that you can multiply 1 to any number... and it keeps its identity! The number stays the same!

7 0

4 years ago

Devin owes $26,000 in students loans for college. The interest rate is 8.75% and the loan will be paid off over 15 years. How mu

Nonamiya [84]

Using simple interest, it is found that Devin will pay $60,125 altogether.

The amount paid in <u>simple interest</u> is:

$A = P(1 + rt)$

In which:

P is the principal.
r is the interest rate, as a decimal.
t is the time, in years.

In this problem:

Owes $26,000 in student loans, thus $P = 26000$
Interest rate of 8.75%, thus $r = 0.0875$
Paid off in 15 years, thus $t = 15$ .

The amount he will pay is of:

$A = P(1 + rt)$

$A = 26000[1 + 0.0875(15)]$

$A = 60125$

Devin will pay $60,125 altogether.

A similar problem is given at brainly.com/question/13176347

4 0

2 years ago

Anybody can help me?

lapo4ka [179]

The proportional graph that corresponds to M = 3n is: Graph C.

<h3>What is a Proportional Graph?</h3>

The constant of proportionality, k, of a proportional graph is given as, y/x. The graph is expressed by the equation, y = kx.

The equation given, M = 3n, represents a proportional relationship where k = 3.

Using a point on graph C, (400, 1,200):

k = 1,200/400

k = 3

Therefore, the graph that corresponds to the situation is: C.

Learn more about proportional graph on:

brainly.com/question/14314106

#SPJ1

7 0

2 years ago

Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will

makkiz [27]

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added. This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole. For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water. This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

3 0

3 years ago

Read 2 more answers

Can someone help me?

Savatey [412]

Answer:

4.5>2.89

Step-by-step explanation:

This question is asking for the comparison between the values of both numbers. 4.5 is greater than 2.89, and this can be written as 4.5>2.89

6 0

3 years ago