Rectangle ABCD is shown on the grid.
A
(-1,4) 14
3
+2+
4
-6-5-4-312-3₁
(-3-b
B(3,3)
34
C(1-5)
X
What is the area of rectangle ABCD in square units?
O 3√17 square units
O 6√17 square units
O
17 square units
O 34 square units

Answer:

8a-2ab

Step-by-step explanation:

5a-2b+2b+3a-2ab

Simplify 'a'

5a+3a=8a

Simplify 'b'

2b+2b=4b

8a-2ab

The coordinates of point E is (-37/7, 23/7)

The formula for calculating a coordinate points using the points (-1, -1) and point A is located at (-7, 5) in the ratio 2:5 is expressed as:

E (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}

Substitute the coordinates and ratios to have;

E (x, y) = {(2(-1)+5(-7))/2+5, (2(-1)+5(5))/2+5}

E(x, y) = {-35-2/7, -2+25/7}

E(x, y) = (-37/7, 23/7)

Hence the coordinates of point E is (-37/7, 23/7)

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Answer:

19 tables

Step-by-step explanation:

Let X represent the number of tables that have 1 student and 3 seniors

Let Y represent the number of tables that have 2 student2 and 4 seniors

Therefore number students total

1X + 2Y =23   (1)

Number of seniors total

3X + 4Y = 61   (2)

Multiply equation (1) by 2 giving

2X + 4Y = 46  (3)

Subtract (3) from (2)

3X + 4Y - (2X+4y) = 61-46

3X + 4Y - 2X -4Y  = 15

3X-2X = 15

X = 15

Plugging this value into equation (1) gives

1(15) + 2Y = 23

15 + 2Y = 23

Subtract 15 from both sides

2Y = 23 - 15

2Y = 8

Divide by 2 both sides

Y = 4

Thus total number of tables used = X +Y = 15+4 = 19

Answer:

%8.3 or 8.3/100

Step-by-step explanation:

o the answer is 7/12 because 1/3 plus 1/4 is 4/12 + 3/12 is 7/12

Answer:

18

Step-by-step explanation:

24 x 3/4 = 18.

The answer of the given equation will be  -6 - 3.3v

For doig the sum we need to first know what is algebric simplification

So Algebric Simplification is basically  is writting the same algebric expression with no same term in a compact manner. For solving the simplification weed to first group the like terms and solve the brackets first if any then in that simplified equation we will be left with unlike variables that cannot be simplified further.

To make it more easier remember the rule of BODMAS it stands for Brackets Of Dvision Multiplication Addition Substraction in any sum where it will be asked to simplify any expression we will go by the order of the above BODMAS rule first we will solve the brackets after that divisions then multiplications followed bty addition and subtraction .

In the given sum as these r not given we will simply group the expressions with alike variable that is (5.2v - 8.5v) which will result in - 3.3v and we cannot to  do any further calculations so the answer will be -6 - 3.3v

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The number of apples Maria has after giving 1 apple to Lillian at the end is is 5 apples.

Given data:

The expressions representing the change in values of the apples are:

Lilian starts with 12 apples, and she gives half (6 apples) to Sebastian. She now has 12 - 6 = 6 apples.

Sebastian starts with 6 apples and gives 2 apples to Jose. He now has 6 - 2 = 4 apples.

On simplifying the expressions:

Maria starts with 6 apples and gives 2 apples to Jose. She now has 6 - 2 = 4 apples.

Sebastian gives half of his remaining apples (4 / 2 = 2 apples) to Maria. Maria now has 4 + 2 = 6 apples.

Maria gives 1 apple to Lilian. She now has 6 - 1 = 5 apples.

Hence, at the end of the given actions, Maria has 5 apples.

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Step-by-step explanation:

since both shapes are totally symmetric, a few answers are obvious :

(1) F2 = F1 = 50°

(3) B1 = D1 = 20°

last but not least, D2 = B2.

using the fact that the sum of all angles in a triangle is always 180°.

and that the sum of all angles sind a single point on one side of a line is also always 180° :

in the triangle CDF the inner angle C is

C = 180 - 20 - 50 = 110°.

therefore, C1 = 180 - 110 = 70°

E1 = 90° (a major rule for the diagonals of a kite).

D2 = 180 - 90 - 70 = 20°

and so, B2 = 20°

(2) D2 = 20°

(4) B2 = D2 = 20°

Answer:

athour of text 2 for the first Q

athour of text 1 for the second Q

athour of text 2 for the third Q

D = RT would be the fundamental equation to answer this, which is

Distance in D

Rate is R (speed)

It is now.

We can determine the individual distances for the two legs of the whole to determine the overall distance D.

Initial Leg:

R = 8

T = a

D = 8a

8(45 – b) + 7.5b =D

What is the formula for rate and distance?

Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.

Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.

Use the formula d = st, or distance equals speed times time, to find the distance.

Distance Equals speed x time

Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.

Distance = Rate x Time

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

speed equals distance/time.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

Time = Speed/Distance

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Answer:

so the answer goes as stated in the picture my advice is to always work from the middle then subtract outwards

Step-by-step explanation:

Answer:

=5√5z

Step-by-step explanation:

√45z +√/20z

√3*3*5z + √2*2*5z

= 3√5z+2√5z

=3+2√5z

=5√5z

Answer:

-168

Step-by-step explanation:

-3(8)^2+(3)(8)

(-3)(64)+(24)

-192+24

-168

Answer:

11 and 22

Step-by-step explanation:

We can say that BC=2AC.

Since AB=33, AC=11 and BC=22.

Answer:

radious:10

height:7

volume:?

we know that

volume of cylinder:2pie×r²×h

=22/7×10²×7

=2200unit³

Looking at the histogram in C(3rd) we know that it is not symmetric. We can not(can’t) say that it is approximately normal. Hence,  C is the correct answer.

What is a histogram?

From the frequency table, we get the frequency of the first class is 20(twenty), and for the second(2) class it is 10(ten) also the remaining frequencies are correctly shown by the histogram shown in option C.

Hence, C is the correct(right) answer.

Looking at the histogram in C(3rd) we know that it is not symmetric. Hence we can not(can’t) say that it is approximately normal.

Hence C. No it is not symmetric is the correct(right) answer.

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Answer:

ans is 11

√4(11)-8=36

√36

=6

Answer:

One person will have 6100 and the other will have 4400.

Step-by-step explanation:

10500/2 = 5250

1700/2 = 850

5250+850 = 6100

10500-6100 = 4400

Check Answer:

6100+4400 = 10500

6100-4400 = 1700

Answer:

4

shirts at Bixby's costing

$

11.50

would cost

XXX

4

×

$

11.50

=

$

46

If

5

shirts at Baxter's cost the same as

4

shirts at Bixby's,

5

shirts at Baxter's would cost

$

46

and

1

shirt at Baxter's would cost

$

46

5

=

$

9.20

The largest interval in which the function is continuous is given by:

(-∞, -3).

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.

In this problem, the zeroes of the denominator of the function are:

x = -3, x = 4.

Hence the continuity intervals are:

The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.

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Answer:

x= -6

Step-by-step explanation:

x/2+3=x+6

We have to isolate the variable.

x/2+3=x+6

-x       -x

-x/2+3=6

      -3  -3

-x/2=3

-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2

x=-6

The acceleration of the object is found as 14 m/s².

Newton's second law states that acceleration of an object is determined by two variables: the net force acting on it and its mass.

The formula for the Newton's second law is;

F = ma

F = acting force in Newton

m = mass of the body in Kg.

a is the acceleration in m/s².

The mass of 7 kg accelerates with 10m/s².

Force acting on it is;

F = ma

F = 7×10

F = 10 N.

The same force is acting on the body of mass 5 kg.

F = ma

a = F/m

a = 70/5

a = 14 m/s².

Therefore, the acceleration of the body is found as 14 m/s².

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Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]

Therefore, the answer is A. as the solution is x = 5 or -7

Answer:

1/4

Step-by-step explanation:

[tex]x^y \ctimes x^z = x^{y + z}[/tex]

[tex]2^{-4} \cdot 2^2 = 2^{-4 + 2} = 2^{-2} = \frac{1}{2^2} = \frac{1}{4}[/tex]

Answer:

Add all like terms

12s = 0

s = 0

Step-by-step explanation:

8s + 6 + 4s = 6

12s + 6 = 6

       -6   -6

12s = 0

÷12   ÷12

s = 0

I hope this helps!

Answer:

9-9x

Step-by-step explanation:

Converted from word to standard form.

The value of the equation 9 less than nine times a number is A = 9n - 9 , where n is the number

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 9 less than nine times a number

Let the number be represented as n

On simplifying the equation , we get

A = 9n - 9

Therefore , the value of A is 9n - 9

Hence , the equation is A = 9n - 9 , where n is the number

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Answer:

Ashleys age is 28.

Step-by-step explanation:

When finding numbers that are consecutive, I like to divide the sum in this case, 100 by the number of people or things, in this case, the 4 siblings. The sum is 100 and there are 4 of them so we divide them first.

100÷4=25 so our answer must be around there. The question states that the ages must be even. So the even numbers in the range of lets say 20-30 are 20, 22, 24, 26, 28 and 30. Closest four numbers to 25 are 22, 24, 26 and 28. We must have two numbers below 25 and two numbers above 25.  So we will keep 22,24,26 and 28. If you add them together, then you'll get 100! Since we are looking for Ashley's age which is the oldest, her age will be 28 as 28 is the highest number out the four numbers (22,24,26,28)

Good Luck and hope this helped! <33

Answer:

x = 14

Step-by-step explanation:

These are corresponding angles, so the angles are equal to each other.

6x - 35 = 3x + 7

3x - 35 = 7

3x = 42

x = 14

Answer:

150 ?

Step-by-step explanation:

150*2 = 300 / 2 = 150

Answer:

the answer is 150

Step-by-step explanation:

150×2÷2

150×1

150