What is one of the solutions to the following system? Y-3=x, x2-6x+13=y

Answer:

6.5

Step-by-step explanation:

If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.

If In triangle PQR, PQ = 13, QR = 14, and PR = 15.  M is the midpoint of QR.  PM is: 12 cm.

In △PQR

M=Midpoint of side QR

PM =Median of the  iangle

Using Apollonius theorem

PQ ² +PR ² =2PM ² +2QM ²

13²+14²=2PM ² +2(1/2QR) ²

169+196=2PM ²+2(6)²

169+196=2PM ²+2(36)

365=2PM ²+ 72

2PM ²=293

Divide both side by 2

PM ²=293/2

PM ²=146.5

PM=11.97 cm

PM=12 cm (Approximately)

Therefore PM is 12 cm.

Learn more about Triangle PQR here:https://brainly.com/question/1270564

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Answer:

true

Step-by-step explanation:

hectometer is 100 meters,

thus 6 hectometers is equal to 600 meters, and the statement is true

Answer:

∠ CDB = 45°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

∠ CDB = 0.5 × BC = 0.5 × 90° = 45°

Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime

Step-by-step explanation:

Answer:

y+48degrees

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given the 2 equations

6x + 3y = 9 → (1)

2x + 3y = 1 → (2)

Subtracting the 2 equations term by term eliminates the y- term

Subtract (2) from (1) term by term, that is

(6x - 2x) + (3y - 3y) = 9 - 1

4x = 8 ( divide both sides by 4 )

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (2)

2(2) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

The solution is x = 2, y = - 1 → A

Answer:

the answer for this question is -30

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:

24*m + 40 ≤ 256

B)  Solving the previous equation:

24*m ≤ 256 - 40

m ≤ 216/24

m ≤ 9

Answer:

-1(2+x)

Step-by-step explanation:

in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x

Answer:

(-1)·2+(-1)·ₓ = -1 (2+x)

Step-by-step explanation:

distributive property: ab +ac = a(b+c)

in this case a=-1, b =2, c =x so

(-1)·2+(-1)·ₓ = -1 (2+x)

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

Answer:

6x = 30

Step-by-step explanation:

6x

Let x = 5

6*5 = 30

6x = 30

________________________________

Hey!!!

Solution,

X=5

Now,

6x

=6*5

=30

So the right answer is 30.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

______________________________

Answer:

1. 1350

2.2700

Step-by-step explanation:

Answer:

B. (6, 5)

Step-by-step explanation:

On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).

No other answer choices match up to the points in the table.

I hope this helps :))

Answer: 4.97 ft

Step-by-step explanation:

h = V / pi r^2

h = 250 / 3.14 x 4^2

Answer:

[tex] \frac{15}{13} [/tex]

Step-by-step explanation:

gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of line

[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]

Answer:

9.3 acres per pound

Step-by-step explanation:

93/10

Answer:1256

Step-by-step explanation:

You need to find the area which is Area=3.14xradiusxradius

So in short hand A=3.14x20x20 which is 1256 feet

Answer:

Step-by-step explanation:

y - 1 = -2(x + 3)

y - 1 = -2x - 6

y - 1 + 1 = -2x - 6 + 1

y = -2x - 5

Answer:

The two numbers are 24 and 40

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Answer:

If BCDE is congruent to OPQR then BE is congruent to RO

Answer: 12

Step-by-step explanation:

The circle is 360 degrees in total

360/6 = 60

72/6 = 12

Answer:

13 ounces

Step-by-step explanation:

Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.

We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.

This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.

The answer is 13 ounces. Hope this helps!

Answer:

Josh's 9.00

Bagel cost 0.70

Ice cream 2.50

9.00–2.50=6.50

6.50

[tex]6.50 \div 0.70 7[/tex]

=10

Answer:

D. 125

Step-by-step explanation:

Given

[tex](\frac{1}{5})^{-3}[/tex]

Required

Find Equivalent

From law of indices

[tex](\frac{1}{a})^{-x} = \frac{1}{(\frac{1}{a})^{x}}[/tex]

So,

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})^{3}}[/tex]

Expand denominator

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})*(\frac{1}{5})*(\frac{1}{5})}}[/tex]

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{125})}}[/tex]

Split expression on the right and side

[tex](\frac{1}{5})^{-3} = 1/{(\frac{1}{125})}}[/tex]

Convert divide (/) to multiplication (*)

[tex](\frac{1}{5})^{-3} = 1*{(\frac{125}{1})}}[/tex]

[tex](\frac{1}{5})^{-3} = 1*125[/tex]

[tex](\frac{1}{5})^{-3} = 125[/tex]

Hence, [tex](\frac{1}{5})^{-3}[/tex] is equivalent to 125

Answer:

890

Step-by-step explanation:

Well, first we should put 1.1 kg into grams (1 kg = 1000g)

1.1kg= 1100g

[tex]1100-470= 630[/tex] this is how much was added by the marbles

630/ # of marbles gives the mass of each marble

[tex]\frac{630}{6} = 105[/tex]

each marble has a mass of 105 g

1100- 2m(marble)=

1100-2*105

1100-210=

890

Answer:

890 grams

Step-by-step explanation:

Remember that one kilogram is equal to 1000 grams. Therefore, 1.1 kilograms is equal to 1,100 grams. (remember 0.1 means one tenth, and one tenth of 1000 is 100)

1,100 grams is the total measure of the jar with the marbles. Subtract the weight of the jar, 470 grams, to find the measure of the marbles.

1100 - 470 = 630

Now, we can divide 630 grams by the total number of marbles, 6, to find the weight of each marble.

630/6 = 105.

Therefore, each marble weighs 105 grams.  

Now, we know that two marbles were removed from the jar that weighs 1100 grams.

Multiply 105 by 2 to find the number of grams that were taken out of the jar:

105*2 = 210

Now, we subtract 210 from 1100

1100 - 210 = 890 grams

Hope this helps :)

Answer:

13

Step-by-step explanation:

6 - 2(-1) + | -5 |

The absolute value means take the non-negative value

6 - 2(-1) + 5

Multiply

6 +2 + 5

Add

8+5

13

Answer:

  106 1/7

Step-by-step explanation:

The line ...

  ī = 106.142857143

tells you the mean of the dataset is 106 1/7.

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

Answer:

1. 18.84cm

2. 10 Pennies

Step-by-step explanation:

Question 1:

Circumference Formula = 2 x π x radius

We will substitute π for 3.14 so the circumference = 2 x 3.14 x radius

The radius is 3 so the circumference = 2 x 3.14 x 3

2 x 3.14 x 3 = 18.84cm

Question 2:

20% as a decimal is 0.2

To find the answer just find 20% of 50

50 x 0.2 = 10

Therefore 10 pennies were minted before 2000