-2 - 3a = -23
solve for a

Answer:The first one

Step-by-step explanation:

Cheap data's distribution is more symmetrical

Answer:

Im pretty sure its C

Step-by-step explanation:

Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{5+a}{2}=-\dfrac{1}{2}[/tex]

[tex]5+a=-1[/tex]

[tex]a=-1-5[/tex]

[tex]a=-6[/tex]

And,

[tex]\dfrac{-4+b}{2}=\dfrac{1}{2}[/tex]

[tex]-4+b=1[/tex]

[tex]b=1+4[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of fourth vertex are (-6,5).

Answer:

This Problem is easy its D (18)

Step-by-step explanation:

Answer:

true,true,false,false

Answer:

Step-by-step explanation:

slope is 4

Answer:

Step-by-step explanation:

horizontal line: y=9

vertical line: x = -1

Answer:

17x

Step-by-step explanation:

Distribute 20 to both fractions:

20/4 x + 60/5 x

Simplify them:

5x + 12x

Add them:

17x

Answer:

The tiles below represent the polynomial 27 + 7x+6.

X X 1 1 1

X2

x X2 X2 xxx

1 x x 1 1 1

1 X X 1 1 1

х

х

1

What is the factorization of 2x2 + 7x+6?

A. (2x+ 2)(x+3)

B. (x+3)(x+6)

C. (x+3)(x + 2)

D. (2x+3)(x+2)

Step-by-step explanation:

The factorization of 2x² + 7x + 6 is D. (2x+3)(x+2).

The factorization of 2x² + 7x+6 is illustrated below:

= 2x² + 7x + 6

= (2x² + 4x) + (3x + 6)

= 2x(x + 2) + 3(x + 2)

= (2x + 3)(x + 2)

Therefore, the factorization of 2x² + 7x + 6 will be (2x+3)(x+2).

In conclusion, the correct option is D.

Learn more about factorization on:

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Answer:

A=110.88

Step-by-step explanation:

Use the formula of a triangle- a=bxh/2

Then multiply by 4 since there are four equilateral triangles in the net

Answer:The other rational number= -18/7

Step-by-step explanation:

The product of the two rational numbers is -42/63.

One of the rational number=7/27

The other rational number whch can be called R can be gotten by diving the product by the rational numvber goven

R x  7/27   =-42/63.

-42/63 ÷  7/27=R

R=-42/63 X 27/7

R= -18/7

Answer:

14.9cm

Step-by-step explanation:

hope it helps you good day.

Answer:

Nina is not correct because she divided by 4, whereas she should’ve divided by 5.

Step-by-step explanation:

To find the mean, we add and divide by however many numbers. In this case, 6 + 7 + 4 + 0 + 3 = 20. Now, we divide by 5, because there are 5 scores in the data. This is where she went wrong, as she divided by 4. Instead, she should’ve divided by 5. This would’ve given her a mean of 4.

Answer:

4

Step-by-step explanation:

Given:

4 - 0.25g + 0.5h

When,

g = 10; and h = 5

4 - 0.25g + 0.5h

= 4 - 0.25(10) + 0.5(5)

= 4 - 2.5 + 2.5

= 4

Therefore,

4 - 0.25g + 0.5h = 4 when g = 10 and h = 5

Answer:

5.24 kilometers

Step-by-step explanation:

Marcel rides his bike to and fro to school every Tuesdays

He lives 2.62 kilometers away from the school

The total amount of distance he rides every Tuesday can be calculated as follows

= 2.62×2

= 5.24 kilometers

Hence the total distance he rides to school is 5.24 km

Answer:

RT = 86

Step-by-step explanation:

Here, we want to find the value of RT

looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT

what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT

Thus, we have it that;

2(15x -17) = 23x -6

30x - 34 = 23x -6

30x -23x = -6 + 34

7x = 28

x = 28/7

x = 4

So, we make a substitution

for RT;

23x-6

= 23(4) - 6 = 92-6 = 86

11 1/4

Step-by-step explanation:

the yards have to be converted to feet

1 yards = 3 feet

5 yards x 3 = 15 feet

Area of a rectangle = length x width

15 x 2 1/4

15 x 9/4 = 33 3/4

33 3/4 x 1/3 = 135 /12 = 11 1/4

Answer:

Final answer is x = -2

Step-by-step explanation:

-6x-3=9

add 3 to -3 and to 9 (we add 3 because its a negative)

9+3 becomes 12.

now we are left with -6x=12

divide on both sides, -6x divided by -6, and 12 divided by -6.

this leaves us with -2.

x= -2

Answer:

`1/3

Step-by-step explanation:

Answer:

c = -4/3, -2

Step-by-step explanation:

3c^2+4c+8=-6c

3c^2+6c+4c+8=0

3c(c+2) + 4(c+2)=0

(3c+4)(c+2)=0

3c+4=0

c+2=0

Given:

The figure of a triangle LMN.

P is the centroid of triangle LMN.

To find:

14. Find the value of PN if QN=30.

15. Find the value of PN if QN=9.

Solution:

We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.

Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.

14. We have QN=30.

[tex]PN=\dfrac{2}{2+1}QN[/tex]

[tex]PN=\dfrac{2}{3}(30)[/tex]

[tex]PN=2(10)[/tex]

[tex]PN=20[/tex]

Therefore, the value of PN is 20 when QN=30.

15. We have QN=9.

[tex]PN=\dfrac{2}{2+1}QN[/tex]

[tex]PN=\dfrac{2}{3}(9)[/tex]

[tex]PN=2(3)[/tex]

[tex]PN=6[/tex]

Therefore, the value of PN is 6 when QN=9.

Answer: 7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

Answer:

7

Step-by-step explanation:

Answer:

Exact Form:

265/3

Decimal Form:

88.3 (with a line over the 3)

Mixed Number Form:

88 1/3

Answer:

\frac{2x^2}{3} =24

Step-by-step explanation:

times both sides by 3

2x²=72

divide both sides by 2

x²=36

sqrt both sides

x=+/-6

x=-6 or 6

-6<6 so -6 is the smallest solution

Answer:

area is length times width, so multiply the length and the width together and youll find the answer is 50. so b

Step-by-step explanation:

The area of the figure which is composite of rectangle and triangle is 42.5 square meters

The area of Rectangle is length times of width.

Let us find the area of rectangle whose length is 7 m and width is 5 m

Area of rectangle =7×5

=35 square meters

Now we observe the figure there is right triangle whose base is 3m and height is 5m

Area = 1/2×3×5

=7.5 square meters

Total area is sum of rectangle area and triangle area

Total area = 35+7.5

=42.5 square meters

Hence, the area of the figure which is composite of rectangle and triangle is 42.5 square meters

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#SPJ2

Answer:

y=-4 or y=-6

Step-by-step explanation:

y^2-14y+49=2y^2-4y+73

y^2+10y+24=0

(y+4)(y+6)=0

y=-4 or y=-6