25. Simplify the following expression.


Question 25 please

25. Simplify The Following Expression.Question 25 Please

Answers

Answer 1

I hope this helps you

25. Simplify The Following Expression.Question 25 Please
Answer 2

Answer:

3  -√5

Step-by-step explanation:

(√5 + 1) / (2 + √5)

Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is  2 - √5.

By doing this we rationalise the denominator:

= (√5 + 1 ) *  ( 2 - √5) /  (2 + √5)(2 - √5)

= (√5 + 1 ) *  ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)

= (2√5 - 5 + 2 - √5) / (4 - 5)

= (√5 - 3) / -1

= 3  -√5


Related Questions

What is the quotient of 6/7 divided by 3/14

Answers

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14           (we cancelled 3 with 6)

=  2×2                (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

Answer:

[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]

Step-by-step explanation:

Hope this helps you!! ( BTW this means / Divide ).

13/4-1=

2 1/4
1 1/2
2 1/2
1 1/4

Answers

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

What is the y-intercept of the function f(x)=4 - 5x?
-5
-4
4
5

Answers

Answer:

b = 4

Step-by-step explanation:

Use the slope-intercept form  y = m x + b  to find the y-intercept  b .

Answer:

C: 4

Step-by-step explanation:

Triangle ABC is rotated 180° using the origin as the center of rotation.

Answers

Answer:

The third answer- a reflection over the x axis then a reflection over the y axis

Answer:the answer is C

Step-by-step explanation:I took the test

Please help ASAP

These box plots show the number of electoral votes won by the democratic and republican candidates for the elections 1984 through 2012

Answers

Answer:

A.

Step-by-step explanation:

The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.

367.5 - 181 = 186.5

356 - 170.5 = 185.5

Answer:

A

Step-by-step explanation:

Which expression is equivalent to −(4−3)?Which expression is equivalent to −(4−3)?

Answers

Answer: −22+3

Step-by-step explanation:

Answer:

−22+3

Step-by-step explanation:

HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?

R0, 90°
R0, 180°
Ro, 270°
RO, 360°​

Answers

Answer: Choice C,  Ro, 270

270 degree counterclockwise rotation around the origin

=============================================================

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

Answer:

c

Step-by-step explanation:

PLEASE I NEED HELP!!. i don't know how to do this.

Answers

Answer:

∠ FGE = 52.5°

Step-by-step explanation:

The secant- secant angle is half the difference of the measures of the intercepted arcs, that is

∠ FGE = [tex]\frac{1}{2}[/tex] (arc BD - arc FE )

           = [tex]\frac{1}{2}[/tex] × (135 - 30)°

           = [tex]\frac{1}{2}[/tex] × 105°

           = 52.5°

find the area of the figure below. round your answer to the nearest tenth​

Answers

Step-by-step explanation:

Area 1 = the rectangle

8×3=24cm²

Area 2= semi circle

3.14r² 314/100×4×4 = 50.24cm²

add. 24+50.24 = 74.24cm² ( 10th)

= 74.2

The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°

Answers

Answer:

Triangle 1: 90°, 20°

Triangle 2: 20°, 90°

Step-by-step explanation:

According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.

to make it easier to explain you can say. Number 1 box is 57 number 2 box is77 something like that

Answers

Answer:

Box 1=5 Box2=6 Box3=8 Box4=200

Step-by-step explanation:

Answer:

Step-by-step explanation:

No.of balloons each will get = 5

no.of greeting cards = 6

no.of apples in each basket = 8

no. of words = 200words

hope it helps

What are the constants in the expression below? Select three options.
12+x-3.7-8y+1/3

-8

-3.7

1/3

x

12

Answers

Answer:

12, -3.7, ⅓

(2nd, 3rd and 5th option)

Step-by-step explanation:

Constants are numbers without any variables with it.

x and y are the variables here.

-8 is the coefficient of y and hence it is not a constant.

*the value of a constant will not change

Note that the constant includes the symbol too, hence it is -3.7 and not 3.7.

Answer: 2nd 3rd and 5th option hope this helps  

Step-by-step explanation:

a number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How does this frequency compare to the expected frequency based on the probability of the number cube landing on an even number?

Answers

Answer:

The frequency is 3 more than expected

Step-by-step explanation:

There are 3 favourable outcomes: {2, 4, 6}

There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}

probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2

If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected

Find the area of the triangle. a) 225 units2 b) 75√3 units2 c) 150√3 units2 d) 27.5√3 units2

Answers

Answer:

Thus, area of triangle is [tex]225/\sqrt{3}[/tex]

Step-by-step explanation:

Area if triangle is given by 1/2( base*height)

Given

Height = 15 units

also one angle is given as 30 degrees

we know Tan of any angle is  ratio of perpendicular and base

[tex]tan\alpha = perpendicular /base[/tex]

lets calculate tan 30 in the given triangle

we will take the smaller triangle containing angle 30 degrees and right angle

perpendicular will be half of base of triangle

base will be side with length 15 units

tan30 = perpendicular/15

[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]

Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]

so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Full full triangle

height = 15 units

base =  [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]

5n+6+(−7n) answer olz

Answers

Answer:

-2n + 6

Step-by-step explanation:

When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6

Based on the graph of which statement is true?

A. The inverse of f exists.

B. The inverse of f does not exist.​

Answers

You need to attach the graph :)

Answer:

A

Step-by-step explanation:

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °

Answers

Answer:

[tex]mGH=80^\circ[/tex]

Step-by-step explanation:

Circle F and J are congruent.

[tex]\angle DFE \cong \angle GJH[/tex]

Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

[tex]mGH=\angle DFE = 80^\circ[/tex]

The measure of arc GH is 80 degrees.

Answer:

Arc GH=80°

Step-by-step explanation:

Edge 2020

Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form

Answers

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

Think of a number, multiply it by 6 and increase the product by 7. It will equal a number, multiplied by 2 and
then increased by 6. What number is it?
1
4
1
10
ent
1
8

Answers

Answer:

x = -1/4

Step-by-step explanation:

Step 1: Write out 1st equation

6x + 7

Step 2: Write out 2nd equation

2x + 6

Step 3: Set equal to each other

6x + 7 = 2x + 6

Step 4: Solve

4x + 7 = 6

4x = -1

x = -1/4


Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.

The bank will convert the euros into pounds using £1 =
1.1452 euros.

The bank deducts a fee of £0.89 from her savings account
for this conversion.

How much money does Jana now have in her bank
account?

Answers

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

                           Pls mark my ans as brainliest :)

If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1​

Answers

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

Please help me ASAP (Each choose is Yes/No)

Answers

Answer:

MARK me brainliest please

Step-by-step explanation:

yes

yes

no

no

yes

Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025

Answers

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

WILL MARK BRAINIEST IF CORRECT!!!

1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?

Answers

Answer:

Look below

Step-by-step explanation:

8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out

8x= 8 boxes

At least 25= no less than 25 students

-15= the 15 that threw them out

x=boxes

the people= All real numbers

HOPE THIS HELPS!!!

Answer:

1 2 3 4

Step-by-step explanation:

Solve 2x+2>10

A. x < 4
B. x > 4
C. x > 6
D. x < 6

Answers

Answer:

B

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =

Answers

Hey there!

Answer:

2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.

Step-by-step explanation:

Recall that the transformation form of a logarithmic function is:

y = ±alog(b(x-h))+k

Given g(x) = -5logx-8:

Negative in front of equation: reflection over the x-axis

'a' value of 5: expanded vertically by a factor of 5

'k' value of -8: translated 8 unit(s) down.

what is y=2/3x-4 graphed

Answers

Answer:

Please see attached

Step-by-step explanation:

PLEASE HELP!!!! 5. POINTS EACH.

Answers

Answer:

question 3: 1/3 question 4: 5/7 question 5: 2/3

Answer:

1/3

5/7

2/3

Step-by-step explanation:

The numbers greater than 4 on a fair dice are 5 and 6.

2 numbers out of 6 or 2/6

2/6 = 1/3

Total parts = 7 + 12 + 18 + 5 = 42

12 are orange marbles.

42 - 12 = 30

30 marbles are red, yellow, and purple.

30/42 = 15/21 = 5/7

The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.

4 numbers out of 6 total numbers.

4/6 = 2/3

Solve -8x+4 ≤ 36

A. x ≥ -4
B. x ≤ 4
C. x ≥ 4
D. x ≤ -4

Answers

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4

f(x) = x2. What is g(x)?

Answers

Answer:  C

Step-by-step explanation:

f(x) = x²

g(x) has the same vertex as   f(x) but is wider so has a vertical stretch by a factor of (1/3).

g(x) = (1/3)x²

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