Bernard is two years older than his sister Therese and four years younger than his sister
Josephine. The product of his sisters' ages is the age of his mother, 40.

A. If x is Bernard's age, write his two sisters' ages in terms of x.
Answer:

B. Write Bernard's mother's age in terms in terms of x and solve this quadratic equation.

Answer:


C. What is Bernard's age?
Answer:


Please show working out​

Answer:

2 Tetrahedrons combined create an Octahedron.

Step-by-step explanation:

Despite the lack of information.

The Plato Polyhedrons are Tetahedron, Cube (Hexaedron), Dodecahedron, Octahedron and Icosahedron. They are regular ones, made up by regular plane figures.

An Octahedron can be built by combining two pyramids. Each Tetrahedron is made up by 4 equilateral triangle.

Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

If you want to learn more, you can read:

https://brainly.com/question/12858856

Answer:

f = -3

Step-by-step explanation:

→Distribute the 6 to (10 + 14f), and the 4 to (-12 + 12f):

6(10 + 14f) = 4(-12 + 12f)

60 + 84f = -48 + 48f

→Subtract 48f from both sides:

60 + 36f = -48

→Subtract 60 from both sides:

36f = -108

→Divide both sides by 36:

f = -3

Answer:

-3

Step-by-step explanation:

6(10 + 14f) = 4(–12 + 12f)

Expand out

60 + 84f = -48 + 48f

Subtract -48 to both sides to bring the numerical to one side

108 + 84f = 48f

Minus 84f from both sides to isolate 12

108 = -36f

Divide both sides by -36 to isolate f

-3 = f

Answer:

x = 61.92751306

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =  opposite / adjacent

tan x = 15/8

Take the inverse tan on each side

tan ^ -1 (tan x) = tan ^ -1 (15/8)

x = 61.92751306

Answer:

Step-by-step explanation:

tan x = 15/8

tanx = 15/8    ... 1

cot x = 8/15..... 2

multiply 1 and 2

tanx * cotx = 15/8 * 8/15

x [ tan * 1/tan]  =  1

x = 1

hope it is correct. i just tried

Answer:

rhetorical question you have answered it already.....only you can

Answer:

b, c, d.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: x+3^2

Step-by-step explanation:

2(x+1)-(x+1) ^2

2x-x+-x^2+1

x+-x^2+1

-x^2+1

Hope this helps

Step-by-step explanation:

(0,-3)will be the mid point . PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME.

The answer is (1,-3)

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Stay safe....

Answer:

600

Step-by-step explanation:

if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.

The required number can be of type 6abcd where a,b,c,d ∈ [0,9].

Place value of 6 in 6000 = 6000

Place value is the numerical value that a digit has by virtue of its position in a number.

So, for a place value ten times the place value of the 6 in the number 6,000,

We need a number in which the place value of 6 is 60000.

So, the required number can be of type 6abcd where a,b,c,d ∈ [0,9].

Hence, the required number can be of type 6abcd where a,b,c,d ∈ [0,9].

To get more about place value visit:

https://brainly.com/question/25137147

Answer:

1/4

Step-by-step explanation:

5/20 donus had sprinkles

So the probability will be 5/20 = 1/4

Answer:

Solution,

2(4x+3)=10x-2

or,8x+6=10x-2

or,8x-10x=-2-6

or,-2x=-8

or,X=-8/-2

X=4

Hope it helps

Good luck on your assignment

Answer:

x = 4

Step-by-step explanation:

First you want to distribute the terms:

2(4x+3) = 10x-2

8x+6 = 10x-2

then combine like terms:

8x+6 = 10x-2

-8x         -8x

6 = 2x-2

+2      +2

8 = 2x

x = 4

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

Answer:

Area is 126.5 inches^2

Step-by-step explanation:

Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;

A = 1/2(a + b) h

here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11

Plugging these values into the equation, we have

A = 1/2(9 + 14)11

= 1/2(23)11 = (23*11)/2 = 126.5 inches^2

Answer:

[tex]\displaystyle d = \sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (3, 4)

Point (4, 7)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

Step-by-step explanation: so, he earns 5 dollars every day, and he starts off with 0 with the y=mx+b form you would y or m in this case is equal to 5x or is this case d so ot would be m=5d

Answer:m=5d

Step-by-step explanation:

Answer:

The slope is zero.

Step-by-step explanation:

Imagine the graph. [tex]y=3[/tex] would simply be a horizontal line. All horizontal lines have slopes of 0. You can also use the slope formula if necessary to try it out.

On the other hand, if the line was vertical (e.g. [tex]x=3[/tex]), then the slope would be undefined.

Answer: The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope.

Step-by-step explanation:  y=3  rewritten as  y=0x+3

For a line equation for the form of y=mx+b, the slope is m

m=0

Perimeter:

3+3+2+3+10+3+3+6+2+3=38

Perimeter is 38

Area:

Shape a: 3*3=9

Shape b: 3*5=15

Shape c: 10*3=30

30+15+9=54

Area is 54

Step-by-step explanation:

The perimeter of a shape is all the outside measurements of its sides rogether. So, add all the sides.

[tex]3 + 3 + 2 + 3 + 3 + 3+ 10 + 3 + 3 + 6 \\ = 39[/tex]

So 39 is your perimeter.

As for the area, you could do this in many ways since this shape can be cut up into all sorts of smaller shapes, but I'm assuming you mean surface area. To get that, take the area of all the shapes there are in this one and then add them all together. I added an attachment of the areas I'm going to take. I separated the shape into three different ones.

These are all rectangles, and the area for a rectangle is lw.

So...

[tex]lw + lw + lw[/tex]

^This will be the formula to use for the area. Keep in mind, these are all different areas separately, so you do not combine the like terms (as tempting as it may be).

Now just substitute: 3×3 3×5 3×10

[tex](3 \times 3) + (5 \times 3) + (10 \times 3) \\ 9 + 15 + 30 \\ 54[/tex]

So 54 is your area.

Answers:

[tex]39cm[/tex]

[tex]54{cm}^{2} [/tex]

Answer:

Yes, the segments would form a triangle.

Step-by-step explanation

If the two shortest lengths are equal to or greater than the longest, it can form a triangle.

Answer:

yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

4+10 > 12  true

10+12 > 4  true

12+4 > 10  true

Then the three sides form a triangle

Answer:

[tex]D[/tex]

Step-by-step explanation:

[tex]2700*(1+x/100)=3200[/tex]

[tex]1+x/100=3200/2700[/tex]

[tex]1+x/100=32/27[/tex]

[tex]x/100=32/27-1[/tex]

[tex]x/100=5/27[/tex]

[tex]27x=500[/tex]

[tex]x=500/27[/tex]

[tex]x=18.518518518518[/tex]

Answer: $14.88x + $8.88y

Step-by-step explanation:

x represents adult ticket

y represents child ticket

Value of adult tickets = 14.88 * x

Value of child tickets = 8.88 * y

So the equation is

14.88x + 8.88y

Answer:

Hi

Step-by-step explanation:

According to my calculations, the answer is C.

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[tex]\text{In order for an inequality to be correct, the inequality has to be TRUE}\\\\\text{When we look at answer choice A, we see that -2/3 is less than -1/3}\\\text{This is true because -1/3 is closer to 0 on the number line, making it bigger}\\\text{than -2/3}\\\\\text{When we look at answer choice B, 0 is greater than -2/3. This is true}\\\text{because 0 is bigger than -2/3, since -2/3 is on the negative side}\\\\\text{When you look at answer choice C, -1/3 is less than -2/3. This is not}\\[/tex]

[tex]\text{true because -2/3 is not bigger than -1/3, since -1/3 is closer to 0.}\\\\\text{Therefore, answer choices A and B should be correct}[/tex]

Answer:

I prefer 5% of your income should be saved each month

Answer:

b. you must decide what you can afford

Step-by-step explanation:

i just took the quiz and that's the correct answer

Answer:

-16-(-45)

Step-by-step explanation:

If we subtract -45 from -16, we'll get the result 29

=> -16-(-45)

=> -16+45

=> 29

Answer:

-21 and 40.

Step-by-step explanation:

The two numbers from the list that have a difference of 29 are:

-21 and 40.

-21 - (-40)

= -21 + 40

= 29

The two numbers are -21 and 40.

Answer:

one real solution

Step-by-step explanation:

u^2 =0

Take the square root of each side

sqrt(u^2) = ±sqrt(0)

u = 0

Answer:

One real solution

Step-by-step explanation:

[tex] {u}^{2} = 0 \\ u = \sqrt{0} \\ u = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

38

is the correct answer

Answer : The First Answer is in the picture above and second question is incorrect ..

Step-by-step explanation:

Hope it works out !!

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the length of each leg.

Proof:

[tex]\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\[/tex]

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex]

Since a=b in an isosceles triangle:

[tex]a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2} \\\\c=a\sqrt{2} \\[/tex]

Therefore, the next step is to Determine the principal square root of both sides of the equation.

Answer: C and hoped this helped and please mark as brainlest.