(5x² - 8x + 1) + (2x2 - 4x - 11)

The value of 'a' will be 8.

And, The value of side PQ will be 28 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle PQR ≅ Triangle XYZ

Now,

Since, Triangle PQR ≅ Triangle XYZ

So, we get;

Measure of PQ = Measure of XY

Substitute the given values of sides, we get;

Measure of PQ = Measure of XY

⇒ 3a + 4 = 5a - 12

Solve for a as;

⇒ 3a + 4 = 5a - 12

⇒ 3a - 5a = - 12 - 4

⇒ - 2a = - 16

⇒ 2a = 16

⇒ a = 8

Hence, Measure of PQ = 3a + 4

                                    = 3 × 8 + 4

                                    = 24 + 4

                                    = 28

Thus, The value of 'a' will be 8.

And, The value of side PQ will be 28 units.

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Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

3(a - 1) + 2a = a + 1

Step 2: Solve for a

Distribute 3: 3a - 3 + 2a = a + 1

Combine like terms: 5a - 3 = a + 1

Subtract a on both sides: 4a - 3 = 1

Add 3 on both sides: 4a = 4

Divide both sides by 4: a = 1

Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

Answer:

-2.5 is correct answer

Answer:

well definitely the  graph is y= -6x + 15 so the graph of -6x is transformed up 15 units on the y axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 8.3x + 8.1

To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x

That's

8.3x + 8.1 = 65.37

Subtract 8.1 from both sides

That's

8.3x + 8.1 - 8.1 = 65.37 - 8.1

8.3x = 57.27

Divide both sides by 8.3

[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]d=\frac{f+4}{3}[/tex]

Step-by-step explanation:

3d - 4 = f

add 4 to both sides

3d = f + 4

divide both sides by 3

d = f/3 + 4/3

Answer:

c/20  cups

Step-by-step explanation:

Number of students in the baking club = 10

If each student made 2 cakes

then total cakes prepared by the students = 10 × 2 = 20

If total amount of flour used to prepare 20 cakes = c cups

and amount of flour used to prepare one cake = n cups

Then amount of flour used to prepare 20 cakes = 20n

Therefore, total amount of flour c = 2n

or n =  c/20

Amount of flour used for one cake =  c/20 cups

Answer:

the answer is c/20 cups!

Step-by-step explanation:

Yay you did great good job

$2050

$20000×1.05×1.05 =

= $20000×1.05²

= $20000×1.1025

= $22050

$22050 - $20000 = $2050

The interest earned for a 2-year period is $2050

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,

We know that,

[tex]A = P(1+r)^t[/tex]

A = amount

P = principal

r = rate

t = time

Putting all the values in the formula,

A = 20000(1+0.05)²

A = 20000(1.05)²

A = 20000×1.1025

A = 22050

Interest earned = Amount - Principal

= 22050 - 20000

= 2050

Hence, the interest earned for a 2-year period is $2050

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Answer:

hhrnfg

Step-by-step explanation:

jsfd

Answer:

A. SAS

Step-by-step explanation:

[tex] In\:\triangle ABM \:\&\:\triangle CBM\\

\overline{AB} \cong \overline{CB}.... (given) \\

\angle ABM \cong \angle CBM....(given) \\

\overline{BM} \cong \overline{BM}.... (common) \\

\therefore \triangle ABM \:\cong\:\triangle CBM..... (SAS\: Postulate) [/tex]

Answer:

Step-by-step explanation:

B is between A and C so:

AB + BC = AC

7x - 2 + 3x + 1 = 59

10x - 1 = 59

      +1     +1

 10x  = 60

÷10      ÷10

  x = 6

AB = 7x - 2 = 7×6 - 2 = 42 - 2 = 40

Answer:

f(x)=x-5 is a linear function

Step-by-step explanation:

so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.

The answer is 16 cm approx.

Diameter= 2[tex]\sqrt{a/pi}[/tex]

=>2[tex]\sqrt{201 / 22/7}[/tex]

=>2[tex]\sqrt{201*7/22}[/tex]

=>15.997.......

=> 16 approx

Hope this helps you!!

Answer:

The diameter of the circle  is 16

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius

[tex]\pi r^{2} = 201[/tex]   =   [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)

[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex]   cross out 3.14 leaves you with [tex]r^2[/tex]  and divide 201/3.14= 64.01

[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex]  square root 64.01 which equals 8

Diameter = [tex]2r[/tex]    2(8) = 16

To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298

Answer:

24.070

Step-by-step explanation:

twenty-four and seventy thousandths

24

and means change from integers to fractions

24 70/1000

or as a decimal

24.070

Answer:

38

Step-by-step explanation:

v=u+at

v=16+11(2) Do multiplication first

v=16+22

v=38

Answer:

38

Step-by-step explanation:

1. Plug in the each number for its variable to get v = 16 + 11 x 2

2. Multiply 11 and 2 to get 22

3. add 16 to 22 to get 38

Answer:

20 seconds.

Step-by-step explanation:

Divide 4000 by 200.

Answer:

Step-by-step explanation:

-6(5-7s) = 20

-30 + 35s = 20

Add 30 both sides

35s = 50

Divide by 35 both sides

S=1.4

Answer:

-318

Step-by-step explanation:

2^5 - 7^3

25 - 343

= -318

Answer:

[tex]\boxed{\tt -311}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]g^5-h^3[/tex]

and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].

Substitute 2 in for g and 7 in for h.

[tex](2)^5-(7)^3[/tex]

Evaluate the exponents.

⇒ 2⁵= 2*2*2*2*2= 32

[tex]32-(7)^3[/tex]

⇒7³= 7*7*7=343

[tex]32-343[/tex]

Subtract 343 from 32.

[tex]-311[/tex]

The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

Answer: 1/3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using the trig. identity

sin²x + cos²x = 1

Given

[tex]\frac{sin^4x-cos^4x}{sin^2x-cos^2x}[/tex]

[tex]sin^{4}[/tex]x - [tex]cos^{4}[/tex]x ← is a difference of squares and factors as

(sin²x - cos²x)(sin²x + cos²x), then fraction becomes

= [tex]\frac{(sin^2x-cos^2x)(sin^2x+cos^2x)}{sin^2x-cos^2x}[/tex] ← cancel (sin²x - cos²x) on numerator/ denominator

= sin²x + cos²x

= 1

Answer:

8.66 ft

Step-by-step explanation:

A square is a shape that has an equivalent length and breadth across it’s cross section.

What this means is that measuring the length across the top and bottom will yield the same length value.

Thus, mathematically, let’s call the measured height h

The square of this height gives the area

thus;

h^2 = 75

h = √75

h = 8.660254037844

This is approximately 8.7 to one decimal place

Answer:

12

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

count the spaces between the two numbers

The number line is the representation of numbers in real order.

The number line can be assumed as:

-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10

       (Cedric)                                              (Rebecca)  

The straight-line distance between the two friends, in meters, is 11 meters.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

On a school playground, a math teacher draws a number line with values from 10 to 10.

The distance between each consecutive number is 1 meter.

We can assume the number line to be as,

-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10

       (Cedric)                                              (Rebecca)  

The distance between Cedric and Rebecca.

= 4 - (-7)

= 4 + 7

= 11

Thus,

The straight-line distance between the two friends, in meters, is 11 meters.

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Step-by-step explanation:

Straight line = 180 °

5x + 78 = 180

5x = 180 - 78

5x = 102

x = 20.4

and y = 78 ° because y is an opposite angle of 78 °

Answer:

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Step-by-step explanation:

Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Answer:

what was your question?