PGCPS ALGEBRA 1 CR (SUMMER 2021) 793023

Solve the equation

Use the equation solver to find the value of x that

makes the mathematical statement true.

1. For parentheses:

Distribute

O 0.5

0Bx93 94-03-17

63x93 126-17

• 17x

17x

O 0.5

2 If necessary

Combine Terms

O 0.87

O 1.5

23 Bx9326

-93 -93

2388

- 119

• 238

• 238

2. Apply properties:

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Multiply

Divide

05

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1 of 10

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

Answer:

Step-by-step explanation:

The answer is D 28 degrees

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

Answer:

Step-by-step explanation:

the answer is a)

Let's start with proving that side AB is parallel to side CD

First off, let's find the slope of line AB. So we'll use the slope formula.

[tex]A = (x_1,y_1) = (2,-1)\\\\B = (x_2,y_2) = (1,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{1 - 2}\\\\m = \frac{3 + 1}{1 - 2}\\\\m = \frac{4}{-1}\\\\m = -4\\\\[/tex]

The slope of AB is -4.

Now let's find the slope of line CD.

[tex]C = (x_1,y_1) = (6,5)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 5}{7 - 6}\\\\m = \frac{-4}{1}\\\\m = -4\\\\[/tex]

The slope of CD is also -4.

Recall that parallel lines always have equal slope (but different y intercepts).

This proves that AB is parallel to CD.

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

We'll follow the same steps to show that AD is parallel to BC.

Find the slope of AD

[tex]A = (x_1,y_1) = (2,-1)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-1)}{7 - 2}\\\\m = \frac{1 + 1}{7 - 2}\\\\m = \frac{2}{5}\\\\[/tex]

Now find the slope of BC

[tex]B = (x_1,y_1) = (1,3)\\\\C = (x_2,y_2) = (6,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 3}{6 - 1}\\\\m = \frac{2}{5}\\\\[/tex]

We get 2/5 each time, so these lines are parallel as well.

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

In short, the first section shows that AB is parallel to CD. The second section proved that AD is parallel to BC.

Because we have two pairs of parallel opposite sides, we can say that ABCD is a parallelogram.

Edit: I have attached the diagram below.

Answer:

676,131

Step-by-step explanation:

L.C.M of 75,125 and 225,

=>676,125

Leaves a remainder 6 means,

=>676,125 + 6

=>676,131

That means,

When you divide 676,131 by 75,125 or 225,

You get remainder 6 .

That is why we add 6 to the L.C.M

Answer:

the real answer is

2X/19

[tex] - \frac{2}{5} [/tex]

Answer:

5.1

Step-by-step explanation:

[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]

0.4663 * 11 = x

x = 5.1293

x = 5.1

The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.

Slope formula: (y2 - y1) / (x2 - x1)

Point 1: (0,4)

Point 2: (2,8)

(8 - 4) / (2 - 0)

4 / 2

2

The average rate of change from x = 0 to x = 2 is 2.

Hope this helps!

The value of x is 40°

Answer:

Solution given:

In triangle BCE

<C+<B+<E=180°[sum of interior angle of a triangle]

<C+60°+x°=180°

<C=180°-60°-x°

<C=120°-x°

again

<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]

2x=120-x

2x+x=120°

3x°=120°

x°=120°/3°

x°=40°

Now we have to,

find the required value of x.

Then in ∆ BCE,

By sum of interior angle of a triangle.

→ <C+<B+<E = 180°

→ <C+60°+x = 180°

→ <C = 180-60-x

→ <C = 120-x

Now by the exterior angle of,

A cyclic quadrilateral is equal to the opposite interior angle.

→ <A = <C

→ 2x = 120-x

→ 2x+x = 120

→ 3x = 120

→ x = 120/3

→ x = 40°

Hence, 40° is the value of x.

Answer:

x = 13.75

Step-by-step explanation:

a right-angled triangle.

so, we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90 degree angle).

so, in our case

17² = 10² + x²

289 = 100 + x²

189 = x²

x = 13.75

Answer: b and d

Step-by-step explanation:

edge21/22

Answer:

5

Step-by-step explanation:

because line PF DIVIDED LINE BPA INTO TWO EQUAL HALF THEREFORE LINE BP IS EQUAL TO LINE AB WHICH IS EQUAL TO 5

The required value of the PV is 12 in the triangle DEF where p is the incenter.

Given; Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle.

In expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in the triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.

From image given,

PW = 12

So by the property of the incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV

PV = 12

Therefore, the required value of the PV is 12 in triangle DEF where p is the incenter.

Learn more about incenter here:

brainly.com/question/27868922

#SPJ2

Answer:

g(2)=1

Step-by-step explanation:

We need to use the second definition of the function since x=2

g(2) = 2^3 -9(2)^2 +27(2) -25

      = 8-9(4) +54 -25

     = 8-36+54-25

     = 1

Answer:

(1,-5)

Step-by-step explanation:

4x + 2y = -6

-3x -2y = 7

in this case you can just add the two items together

x = 1

4(1) + 2y = -6

2 y = -10

y = -5

Answer:

The answer to this would be B.) 4.7 cm

Step-by-step explanation:

Arch = (Angle/360)(2[tex]\pi[/tex]r)

= (45/360)(2[tex]\pi[/tex]6)

= (0.125)(12[tex]\pi[/tex])

=1.5[tex]\pi[/tex]

≈4.71cm (assuming [tex]\pi[/tex] = 3.14)

Since an arch of a circle is just part of the circumference, you just need to multiply the circumference by the measure of the arch's angle divided by 360 (the angle measure of a circle).

Answer:

8/15

Step-by-step explanation:

Since this is a right triangle

tan C = opp side / adjacent side

tan C = 8/15

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

The cost of the tomato sauce for one potion given the cost per ounce is $1.30.

Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.

In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.

$0.37 x 3.5 = $1.30

To learn more about multiplication, please check: https://brainly.com/question/13814687

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 – 9x

Add 9x to each side

x - 42+9x = 98 – 9x+9x

10x-42 = 98

Add 42 to each sid

10x-42+42 = 98+42

10x = 140

Divide by 10

10x/10 =140/10

x = 14

Step-by-step explanation:

sin X = 37/64

sin X = .578

X = sin ^-1 (.578)

X = 35.3°

hope it's correct

Answer:

Step-by-step explanation:

Let n be the smallest of the three numbers. Then

n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)

Solve for n :

3n + 3 = 5 (n - 21)

3n + 3 = 5n - 105

2n = 108

n = 54

Then the three numbers are 54, 55, and 56.

Answer:

false

Step-by-step explanation:

If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"

Answer: False

Step-by-step explanation:  When x is at least 2, x would be greater than or equal to 2.  X cannot be less than 2.  So, it should be x >= 2.

Hope this helped.

Answer:

A model is an estimate of a data set.

A useful model can be used to make predictions.

Step-by-step explanation:

There are various models used in mathematics which are used to predict variables. The regression model is used to predict the relation between two variables. There are various other models which help to predict the future events and outcome of these events.

Answer:

- 0.25

Step-by-step explanation:

Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.  

Answer:

I'm assuming that "why" is not part of this problem so this too is not answerable

Answer:

9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.

Step-by-step explanation: