Area Model (x+2)(x+2) x 2 2
I'm supposed to solve the area code ​

Answer:

[tex] {x}^{2} + 14x - 15 = 0 \\ {x}^{2} - x + 15x -15 = 0 \\ x(x - 1) + 15(x - 1) = 0 \\ (x - 1)(x + 15) = 0 \\ \boxed{x = 1} \\ \boxed{x = - 15}[/tex]

Answer:

5. 1) C. 3/2·x + y = 2 ↔ y = -3/2·x + 2

6. 2) A. y = -2/3·x + 2 ↔  2·x + 3·y = 6

7. 3) D. y = 3/2·x + 2 ↔  y = 3/2·x + 2

8. 4) E. y = 2·x + 2 ↔  -6·x + 3·y = 6

9. 5) B. 3·x + y = 6 ↔  y = -3·x + 6

10. 6)  y = 5/4·x - 10, and y = 5/4·x - 11

11. 7)  y = -8·x + 15 and y = -8·x + 16

12. 8) 4·x + y = 7 and 4·x +  y = 6

13. 9) No

14. 10) Yes

Step-by-step explanation:

Two equations will have an infinitely many solutions when that represent the same equation

5. 1) C. 3/2·x + y = 2 is the same equation as  y = -3/2·x + 2

6. 2) A. y = -2/3·x + 2 is the same equation as  2·x + 3·y = 6 (divide by 3 and make y the subject of the equation)

2·x/3 + 3·y/3 = 6/3 = 2

y = -2/3·x + 2

7. 3) D. y = 3/2·x + 2 is the same equation as  y = 3/2·x + 2

8. 4) E. y = 2·x + 2 is the same equation as  -6·x + 3·y = 6

-6·x/3 + 3·y/3 = 6/3 = 2

y = 6·x/3 + 2 = 2·x + 2

9. 5) B. 3·x + y = 6 is the same equation as  y = -3·x + 6

3·x + y = 6

- 3·x + 3·x + y  = -3·x + 6

y = -3·x + 6

Two straight line equations of the form, y = m·x + c, will have no solutions if they represent parallel lines and therefore, have equal slopes, m and different "y" intercepts, c

10. 6)  For y = 5/4·x - 10, we have the slope, m = 5/4 and the "y" intercept c = -10

Therefore, the equation that will make a system with "no solution" has the same value for "m" and a different value for "c" such as y = 5/4·x - 11

11. 7) For y = -8·x + 15,  similarly we have a system with "no solution" as follows;

y = -8·x + 15 and y = -8·x + 16

12. 8) For 4·x + y = 7, a system with "no solution" can be written as follows;

4·x + y = 7

∴  y = - 4·x + 7 which gives;

y = - 4·x + 7 and y = - 4·x + 6

From y = - 4·x + 6, we have;

4·x +  y = 6

The system with "no solution" can therefore also be written as follows;

4·x + y = 7 and 4·x +  y = 6

13. 9) No the sum of the two numbers and the result forms a function  with the sum of the two numbers being the inputs of the function and their value, 8 being the output of the function and therefore, the input of a function can not have multiple outputs which are 8 and 10 which makes it not possible

14. 10) Yes, by the definition of a function, it is possible for two different inputs to a function to have the same output, therefore, given that the operation performed on the two inputs are different, the two inputs can be considered as different an can have he same output

For example, we have 8 + 0 = 8 and 8 - 0 = 8.

Answer:

a) 3 sec

b) 39 feet

Step-by-step explanation:

a) b(0) = -16(b)² + 50(0) + 3

    b(0) = 3

b) b(2) = -16(2)² + 50(2) + 3

   b(2) = -64 + 100 + 3

   b(2) = 36 + 3

Answer:

Radius

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

eeeeeeeeeetrhdhhwhejehr

Answer:

Area= 12 units squared, Perimeter= 16.12899

Step-by-step explanation:

[tex]AC= \sqrt{(4-0)^{2}+ (0+4)^{2}} = 4\sqrt{2}[/tex]

[tex]AB= \sqrt{(0-4)^{2}+ (2-0)^{2} } = 2\sqrt{5}[/tex]

[tex]BC= \sqrt{(0-0)^{2}+ (2+4)^{2} }= 6[/tex]

So, perimeter= [tex]4\sqrt{2} + 2\sqrt{5} +6= 16.12899[/tex]

[tex]Area= \frac{1}{2}bh\\[/tex]

        [tex]= \frac{1}{2}BC\sqrt{(4-0)^{2}+(0-0)^{2} }[/tex]

         [tex]= 12[/tex] [tex]units^{2}[/tex]

Answer:

0.03

Step-by-step explanation:

Calculation for What number did Michael used

Using this formula

Number used=Number of Product recorded/Number multiplied

Let plug in the formula

Number used =0.012/0.4

Number used =0.03

CHECK: 0.4*0.03=0.012

Therefore the number that Michael used is 0.03

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Step-by-step explanation:

Answer:

21) Angle A = 44 degrees

22) Angle A = 23 degrees

Step-by-step explanation:

The angles inside of every triangle always add up to 180 degrees, you can use this trigonometric identity to solve for x values:

Problem 21)

X + 59 + X + 51 + 84 = 180

2x + 194 = 180

2x = -14

x = -7

now solve for angle A:

Angle A = x + 51 = -7 + 51 = 44 degrees

Problem 22)

The square symbol inside a triangle denotes a 90 degree angle. Setting the angles equal to 180 degrees, you can find angle A again.

90 + x + 37 + x + 67 = 180

2x + 194 = 180

2x = -14

x = -7

now solve for angle A:

Angle A = -14 + 37 = 23 degrees

Answer:

$4.25

Step-by-step explanation:

Answer:

The price of 17 minutes call = $4.25

Step-by-step explanation:

Given

Thus,

The unit rate can be calculated

Unit rate = $1.25 / 5 minutes

Unit rate  = $0.25 per minute

So,

The price of one minute call = $0.25

The price of 17 minutes call = 0.25 × 17

                                               = $4.25

Therefore, the price of 17 minutes call = $4.25

Answer:

I think It is D

Answer:

It's D.

Step-by-step explanation:

I'm pretty sure about the answer.thank u

Answer: (x + 2)2+(y-7)2 = 16

The solution of the given expression (7/45 x 9/49) is 1/35.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 7/45 x 9/49. The expression will be simplified as below,

E = 7/45 x 9/49

E = 1 / 5 x 1 / 7

E = 1 / ( 5 x 7 )

E = 1 / 35

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Answer:

The amount is $2137.24 and the interest is $237.24.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A = P[tex](1+\frac{x}{y} )nt[/tex]

A = total amount P = principal or amount of money deposited, r = annual interest rate n

= number of times compounded per year t = time in years In this example we have

P = $1900 , r = 4% , n = 1 and t = 3 years

After plugging the given information we have

A = 1900 [tex](1+\frac{0.04}{1})^{1*3}[/tex]

A = 1900 · 1.0[tex]4^{3}[/tex]

A = 1900 · 1.124864

A = 2137.24

STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we

have:

A = P + I

2137.24 = 1900 + I

I = 2137.24 − 1900

I = 237.24

Answer:

5b - 0.9b, distributive property

Step-by-step explanation:

The expression that is used to find the price of 5 loaves of bread is given by :

5(b-0.18b)

We need to rewrite the above expression.

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

Here, a = 5, b = b and c = -0.18b

5(b-0.18b) = 5(b) + 5(-0.18b)

= 5b - 0.9b

So, the equivalent expression is 5b - 0.9b. The distributive property was used to rewrite the expression.

Answer:

Solution,

<TWR = <PWQ = 128° [Vertically opposite angles]

<TWS = 128°-31° = 97° = [tex]\frac{97\pi ^{c}}{180}[/tex] = ∝

Arc TS (l) = ?

Radius (r) = 4.5mm

Now,

[tex]\alpha = \frac{l}{r} \\or, \frac{97\pi ^{c}}{180} = \frac{l}{4.5} \\or, l = \frac{(97\pi)(4.5) }{180} = \frac{436.5\pi }{180}[/tex]≈ 7.61mm

The required measure of the arc TS is given as 7.61 mm.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
In the diagram,
∠TWR = ∠PWQ
∠TS + 31 = 128
∠TS = 97°

Now,
Arc = angle × radius
Arc = 97 × π /180 × 4.5
Arc =  7.61 mm

Thus, the required measure of the arc TS is given as 7.61 mm.

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Answer:

A is ur answer

Step-by-step explanation:

a^2 + b^2 = c^2

c = 20

A.) Correct

u = 10√3

v = 10

u^2 + v^2 = c^2

10 = √100

√100 • √3 = √300

√300^2 + 10^2 = c^2

300 + 100 = c^2

400 = c^2

√400 = √c^2

20 = c

B.) Incorrect

u = 20√3

v = 10

u^2 + v^2 = c^2

20 = √400

√3 • √400 = √1200

√1200^2 + 10^2 = c^2

1200 + 100 = c^2

1300 = c^2

√1300 = √c^2

√1300 ≈ 36

C.) Incorrect

u = 20√3

v = 10√2

u^2 + v^2 = c^2

20√3 = √1200

10√2 = √200

u^2 + v^2 = c^2

√1200^2 + √200^2 = c^2

1200 + 200 = c^2

1400 = c^2

√1400 = √c^2

√1400 ≈ 37

D.) Incorrect

u = 10√3

v = 10√2

u^2 + v^2 = c^2

10√3 = √300

10√2 = √200

u^2 + v^2 = c^2

√300^2 + √200^2 = c^2

300 + 200 = c^2

500 = c^2

√500 = √c^2

√500 ≈ 22

Answer:

7 tarts

Step-by-step explanation:

1st step: find half of 9 1/3 = 28/3 x 1/2 = 14/3

2nd step: divide 14/3 by 2/3 so you multiply by the reciprocal of the 2nd fraction

14 x 3 = 7

3       2

Answer:

7 tarts

Step-by-step explanation:

First, lets make 9 1/3 into a full fraction. You can multiply 9x3 and add it to the numerator, which makes the fraction 28/3. Then it says half of the amount. "of" means to multiply, so lets do 28/3 x 1/2. We should get 28/6. Now, since each tart has 2/3 cups of blueberries, we should divide our fraction by 2/3 to find the amount of tarts. So 28/6 divided by 2/3. We can use KCF on 2/3 which makes the equation into 28/6 x 3/2. Finally, we should get 84/12, which simplified is 7.

Answer: I think Yes.

Step-by-step explanation:

Answer:

simply divide the numerator and denominator by 4 (the GCF). So, 1232 = 12÷432÷4 = 38. Thus, 1232 is equivalent to 38 in the reduced form. (*) The factors are numbers that multiply each other to get another number.Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

We can simplify the ratio 12 : 32 by dividing both terms by the greatest common factor (GCF).

The GCF of 12 and 32 is 4.

Divide both terms by 4.

12 ÷ 4 = 3

32 ÷ 4 = 8

Therefore:

12 : 32 = 3 : 8

I hope this helped, If this is wrong then I'm sorry but I think this is accurate.

Answer: -4

Step-by-step explanation:

Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = [tex]\frac{1}{5}*50[/tex]

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = [tex]\frac{1}{2}*50[/tex]

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

Answer: -9

Step-by-step explanation: 117 divided by -13 = -9

-1053 divided by 117 = -9

common ratio=-9

Answer:

$30,000 down payment is 15% of purchase price

$80,000 down payment would be 40% of purchase price

Step-by-step explanation:

x = percent of purchase price

30,000 = 200,000x

3/20 = x

3/20 = 15/100 = 15%

80,000 = 200,000x

8/20 = x

8/20 = 40/100 = 40%

Answer:

Step-by-step explanation:

What is the rate in miles per gallon:

gallons used:           28        39        42

miles;                      628.4  947.7  1020.6

The answer is below

Solution:

A linear function is a function in the form:

y = mx + b; where y is a dependent variable, x is an independent variable, m is the rate of change of y with respect to x, and b is the initial value of y when x is zero.

From the table, we are given the gallon used to cover a distance in miles. To calculate the rate, we can select two points from the table. Using the points in the form (miles, gallons used): (628.4, 28) and (1020.6, 42) we get:

[tex]m=\frac{1020.6-628.4}{42-28}\\\\m=28\ miles\ per\ gallon[/tex]

Answer:

0.5

Step-by-step explanation:

Answer:

0.5= 1/2

Explanation:

Hope that helps

Combine multiplied terms into a single fraction

Multiply the numbers

Subtract  7  from both sides of the equation  

Simplify  

Multiply all terms by the same value to eliminate fraction denominators

Answer:

y=-1x+3

Step-by-step explanation:

Answer: Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, you multiply the tops and bottoms separately to get your answer.

Step-by-step explanation: