7r−

s

15

​

7, r, minus, start fraction, 15, divided by, s, end fraction when r=3r=3r, equals, 3 and s=5s=5s, equals, 5.

Answer:

[tex]f( - 9) = - 3 |( - 9) + 5| = - 3 | - 4| \\ = - 3 \times 4 = - 12[/tex]

Answer:

[tex]-(\frac{3}{7})^3[/tex]

Step-by-step explanation:

Since we see that 3/7 is multiplied by itself three times, we can use exponents as a shorter way to write this. The expontent tells us how many times the base number, 3/7, is multiplied by itself.

[tex]-1 * (\frac{3}{7})^3[/tex]= [tex]-1 * \frac{3}{7} * \frac{3}{7} * \frac{3}{7}[/tex]

We then multiply by -1 to (3/7)^3 to get the exact answer.

[tex]-(\frac{3}{7})^3[/tex]

Answer:

28.914

Step-by-step explanation:

Answer:

y=4-3x

Step-by-step explanation:

Hope this helps!!!

Answer:

the range in interval notation is (-4, 4).

Step-by-step explanation:

"Range" refers to the set of numbers that contains all possible values of y that a given function can take on.  In this diagram we see that the smallest possible y-value is -4 and the largest is +4, not inclusive (the set does not contain either -4 or +4).  Thus, the range in interval notation is (-4, 4).

The direct distance from the school to the library, travelled by Alice can be

found using Pythagoras's theorem.

The number of miles Britney travelled more than Alice is; 8 miles

Reason:

The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can

be found with the formula;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

The above formula can be obtained using Pythagoras's theorem.

The distances travelled by Britney are;

Distance from the school to the mall = [tex]\sqrt{(10 - 10)^2 + (6 - (-4))^2}[/tex] = 10

Distance from the mall to the library = [tex]\sqrt{(-14 - 10)^2 + (6 - 6)^2}[/tex] = 24

Total distance travelled by Britney = 24 miles + 10 miles = 34 miles

The distance travelled by Alice is from the school to the library, which

gives; Alice's distance = [tex]\sqrt{(10 - (-14))^2 + (-4 - 6)^2}[/tex] = 26

Distance travelled by Alice from the school to the library is 26 miles

The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles

Therefore;

Britney traveled 8 miles more than Alice

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Answer:

1 dozen = 12 units

7 dozen = 12 × 7 = 84 units

Correct unit price = 103.32 ÷ 84 = $1.23

The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.

The price he calculated is for the price for 1 dozen, not 1 unit

Step-by-step explanation:

Answer:

D. x = 12

Step-by-step explanation:

Answer:

soit n un nombre entier quelconque; 2n sera pair et 2n+1 sera impair.

1) (2n)² = 4n² = 2 * 2n²

2) (2n+1)² = 4n² + 4n + 1 = 2*(2n² + 2n) + 1

3) 2n + 2m = 2*(n+m)

la somme de 2 nombres pairs est paire

(2n + 1) + (2m + 1) = 2n + 2m + 2 = 2 *(n + m + 1)

la somme de 2 nombres impairs est paire

Step-by-step explanation:

Answer:

Answer is 33

Step-by-step explanation:

If x equals 3, then the equation simplifies to 6 squared - (9/3)

9 divided by 3 is 3, then 6 squared is 36.

36-3 = 33. Hope this helps!

Answer:

Well to calculate percentage decrease

(Starting value- ending value / starting value)* 100

so 30-18=12

12/30= 2/5

2/5*100= 200/5

40 percent

Now thats the amount lost so

100%-40%=60%

60% reduction

Answer:

hello

Step-by-step explanation:

there is my answer

hope it helps

Answer:

I personally have no idea how to do this but quizlet might have the answer

Sorry hope this helps though

Step-by-step explanation:

Answer:

Step-by-step explanation:

Properties of an Isosceles Triangle

(Most of this can be found in Chapter 1 of B&B.)

Definition: A triangle is isosceles if two if its sides are equal.

We want to prove the following properties of isosceles triangles.

Theorem: Let ABC be an isosceles triangle with AB = AC.  Let M denote the midpoint of BC (i.e., M is the point on BC for which MB = MC).  Then

a)      Triangle ABM is congruent to triangle ACM.

b)      Angle ABC = Angle ACB (base angles are equal)

c)      Angle AMB = Angle AMC = right angle.

d)      Angle BAM = angle CAM

Corollary: Consequently, from these facts and the definitions:

Ray AM is the angle bisector of angle BAC.

Line AM is the altitude of triangle ABC through A.

Line AM is the perpendicular bisector of B

Segment AM is the median of triangle ABC through A.

Proof #1 of Theorem (after B&B)

Let the angle bisector of BAC intersect segment BC at point D.  

Since ray AD is the angle bisector, angle BAD = angle CAD.  

The segment AD = AD = itself.

Also, AB = AC since the triangle is isosceles.

Thus, triangle BAD is congruent to CAD by SAS (side-angle-side).

This means that triangle BAD = triangle CAD, and corresponding sides and angles are equal, namely:

DB = DC,

angle ABD = angle ACD,

angle ADB = angle ADC.

(Proof of a).  Since DB = DC, this means D = M by definition of the midpoint.  Thus triangle ABM = triangle ACM.

(Proof of b) Since angle ABD = angle ABC (same angle) and also angle ACD = angle ACB, this implies angle ABC = angle ACB.

(Proof of c) From congruence of triangles, angle AMB = angle AMC.  But by addition of angles, angle AMB + angle AMC = straight angle = 180 degrees.  Thus 2 angle AMB = straight angle and angle AMB = right angle.

(Proof of d) Since D = M, the congruence angle BAM = angle CAM follows from the definition of D.  (These are also corresponding angles in congruent triangles ABM and ACM.)

QED*

*Note:  There is one point of this proof that needs a more careful “protractor axiom”.  When we constructed the angle bisector of BAC, we assumed that this ray intersects segment BC.  This can’t be quite deduced from the B&B form of the axioms.  One of the axioms needs a little strengthening.

The other statements are immediate consequence of these relations and the definitions of angle bisector, altitude, perpendicular bisector, and median.  (Look them up!)

Definition:  We will call the special line AM the line of symmetry of the isosceles triangle.  Thus we can construct AM as the line through A and the midpoint, or the angle bisector, or altitude or perpendicular bisector of BC. Shortly we will give a general definition of line of symmetry that applies to many kinds of figure.

Proof #2 (This is a slick use of SAS, not presented Monday.  We may discuss in class Wednesday.)

The hypothesis of the theorem is that AB = AC.  Also, AC = AB (!) and angle BAC = angle CAB (same angle).  Thus triangle BAC is congruent to triangle BAC by SAS.

The corresponding angles and sides are equal, so the base angle ABC = angle ACB.

Let M be the midpoint of BC.  By definition of midpoint, MB = MC. Also the equality of base angles gives angle ABM = angle ABC = angle ACB = angle ACM.  Since we already are given BA = CA, this means that triangle ABM = triangle ACM by SAS.

From these congruent triangles then we conclude as before:

Angle BAM = angle CAM (so ray AM is the bisector of angle BAC)

Angle AMB = angle AMC = right angle (so line MA is the perpendicular bisector of  BC and also the altitude of ABC through A)

QED

Faulty Proof #3.  Can you find the hole in this proof?)

In triangle ABC, AB = AC.  Let M be the midpoint and MA be the perpendicular bisector of BC.

Then angle BMA = angle CMA = right angle, since MA is perpendicular bisector.  

MB = MC by definition of midpoint. (M is midpoint since MA is perpendicular bisector.)

AM = AM (self).

So triangle AMB = triangle AMC by SAS.

Then the other equal angles ABC = ACB and angle BAM = angle CAM follow from corresponding parts of congruent triangles.  And the rest is as before.

QED??

Yes, This statement is valid.

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

Given that;

The two sides of a triangle are congruent.

Then, In ΔABC;

⇒ AB ≅ BC

So, ΔABC is isosceles.

Now,

Since, The two sides of a triangle are congruent.

We know that;

In a triangle if two sides are equal then it is an Isosceles triangle.

So, The given statement '' ΔABC is isosceles'' is valid.

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Answer:

c: 35/2

Step-by-step explanation:

70/4 = 35/2

35/2 is the simplest answer and how much Jacob earns for each yard he mows.

Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

    A domain can not have multiple ranges. A range can have multiple domains though.

The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.

In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

y = 7x + 35, x members joining the fitness club and y is cost.

(a) As you can see from the equation, y depends on the value of x,

(b) Calculate the amount of x = 6 (as given)

y = 7 × 6 + 35

y = 42 + 35

y = $77

The domain of the function is 6 and the range is 77.

(c) Yes, as we put the values in x, y also changes, so it is a function.

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plug the points into y2-y1/x2-x1:

[tex] \frac{7 - 7}{8 - 0} [/tex]

Now do the subtraction on both the bottom and top:

[tex] \frac{7 - 7 }{8 - 0} = \frac{0}{8} [/tex]

0 divided by a number will equal 0, so the slope is 0.

Answer:

GIVEN :

SOLUTION :

[tex] \large{ \tt{A \times B = \{ \: 1 \:, 2 \: ,3 \} \: \times \: \{ \: i, \: o ,\: u \}}}[/tex]

[tex] \large{ \tt{= \{ \: (1 \:, i \: ) \: (1 \: ,o \: ) \: (1 \: ,u \: ) \: (2 \:, i) \: (2 \: ,o \: ) \: (2 \:, u) \: (3 \:, i) \: (3 \:, o) \: (3 \: ,u) \}}}[/tex]

-Hope I helped! ~

Please feel free to leave any comments if any! :)

Step-by-step explanation:

3x3x3x3x3x3 = 3^6

3x3x3 = none

6x6x6 = 6^3

6+6+6 = 6x3

3 + 6 = none

3+3+3+3+3+3 = none

Answer:

For box 3^6:

3×3×3×3×3×3

For box 6^3:

6×6×6

For box 6×3:

6+6+6

3+3+3+3+3+3

For None:

6+3

3×3×3

Hope this helps! Brainliest would be really appreciated!

Answer:

The answer is 9/10.

Step-by-step explanation:

Step 1: 3/4/5/6. This means, 3/4 is being divided by 5/6 and so you write it in that form. Take this for an example. 2/4 divided by 3 is 2/4/3.

Step 2: 3/4 ÷ 5/6. This is because, we want the question to be easy to simplify. Also, we want to write the division question as a multiplication problem. And this sign ( / ) means to divide.

Step 3: 3/4 × 6/5. This is because in Maths, when a fraction is dividing another fraction, that fraction is reciprocated ( the fraction at the right side.) Reciprocated here means the denominator is made the numerator and the numerator is made the denominator.

Step 4: 3/2 × 3/5. How? We cancelled out. 2 goes into 4 twice and into 6 thrice.

Step 5: 9/10. We multiplied 3/2 × 3/5 to get 9/10.

The expression that could be used to calculate the perimeter of the following circle is 2π(5)

The perimeter is also known as the circumference of a circle. The formula for calculating the perimeter of a circle is expressed as;
C =2πr

where

r is the radius of the circle

Determine the radius

r = 10/2

r = 5cm

Substitute

C = 2π(5)

Hence the expression that could be used to calculate the perimeter of the following circle is 2π(5)

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Answer:

y = 0x - 5 or just y = -5

Step-by-step explanation:

use the slope intercept equation

y2 - y1

x2 - x1

- 5 - 9 = 14

-3 + 3 = 0

14 / 0 = 0

so the slope is undefined

take one of the points (let's use -3, -5) and plug that in the slope intercept form (y = mx+b)

so -5 = 0(-3)+b

0 • 3 = 0 so the b (or y intercept) equals -5

so the equation is y = -5

[tex]\frac{2a}{3} +13, \:a=15[/tex]

Step 1: Substitute [tex]a[/tex] for 15

[tex]\frac{2(15)}{3} +13[/tex]

Step 2: Solve

15 × 2 = 30

[tex]\frac{30}{3} +13[/tex]

30 ÷ 3 = 10

[tex]10 +13[/tex]

10 + 13 = 23

The evaluation of the expression is 23.

Answer:

15 minutes

Step-by-step explanation:

725 - 710 = 15

PLEASE MARK ME BRAINLIEST!!!!

Answer:

23

Step-by-step explanation:

69 divided be 3

= 23

step 2

23 + 23 = 46 ( Alvin age)

step 3

69 -46= 23 Elga age

Answer:

Elga's age is 23

Step-by-step explanation:

To solve this, we need to make our equation.

2x+x=69

In this equation, 2x is Alvin's age, while Elga's age is x. The 69 is the sum of their ages.

Combine the like terms in this equation.

3x=69

Divide both sides by 3

3/3x=69/3

x=23

Elga's age is 23, but we still need to check to make sure we are correct.

To do this, plug in 23 for x.

2(23)+23=69

46+23=69

69=69

Do we get a true statement? Yes, so we are correct.

Answer:

Is y

[tex]y = \sqrt{ - } 5 \times + 1[/tex]

Answer:

Hello,

Here is your answer.

Vertex: (5, -2)

Focus: (19/4, -2)

Directrix: x = 21/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex]f(x) = 2|x + 6| -4[/tex]

Step 1: Substitute [tex]x[/tex] for the given function.

6 is the given function.

[tex]f(x) = 2|x + 6| -4\\=f(x) = 2|6 + 6| -4\\\\f(x) = 2|6 + 6| -4\\=24-4\\\\=20[/tex]