Solve: 2a + 5 = 23
:((

Answer:

a) Center of dilation (0,0)

b) Scale factor = 2

Step-by-step explanation:

Dilation of Polygons

The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).

The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).

Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.

Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)

Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)

Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)

a)

The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).

b)

The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2

Answer:

10

Step-by-step explanation:

If ABCD is a rectangle, then AB=CD and AC=BD.

Check work:

Answer:

4/3 for slope.. I'm unsure if its also asking for y- intercept

Step-by-step explanation:

I hope this is the way it must be calculated

Answer:

-96 :)

Step-by-step explanation:

12 x (-8) = -96

if there is one negative in the problem the answer will be negative.

Answer:

Substitue 3 in for x...

Step-by-step explanation:

By substituting 3 in for x, you can solve for y. The result should be the same.

Answer:

$1,605

Step-by-step explanation:

As, 7% of $1,500 is = $105

So, the investment is = Principcal + Interest.

= $1,500 + $105 = $1,605

The value of investment after one year will be $1,605.

Given that,

Principal[P] = $1,500.

Rate[R] = 7%.

Time[T] = 1 year.

Formula of simple interest[S.I] :

[tex]\text{ S.I.} = \dfrac{P\times R\times\ T}{100} .\\\\ \text{S.I.} = \dfrac{\$1,500\times7}{100}\\\\ \text{S.I. }=\$105.[/tex]

Investment after one year will be :

[tex]\text {Investment}= \text{Principal} +\text{Interest}.\\\text{Investment}=\$1,500+\$105\\\text{Investment} =\$1,605[/tex]

Hence, the worth of investment after one year will be $ 1,605.

Learn more about Simple Interest, refer:

https://brainly.com/question/2793278

Answer:

JKH and HKE, HKE and EKF, EKF and GKF, GKF and JKG

Step-by-step explanation:

i hope this is right, and helps lol

adjacent angles have a common vertex and side, so these should be correct

Answer:

(8-3x)/4

Step-by-step explanation:

3x+4y=8

4y=8-3x

y=(8-3x)/4

So the answer is (8-3x)/4

Answer:

No solution

Step-by-step explanation:

6x - 2(3x - 4)

Distribute;

6x - 6x + 8

0 ≠ 8

Answer:

Recursive:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit:

[tex]f(n)=4-4(n-1)[/tex]

And the 20th term f(20) is -72.

Step-by-step explanation:

We have the sequence:

4, 0, -4, -8...

Let’s find the recursive and explicit rule for the sequence.

Recursive Rule:

Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.

So, this is a arithmetic sequence.

The standard format for an recursive rule for an arithmetic sequence is:

[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]

Where a is the initial term and d is our common difference.

From our sequence, we know that our initial term a is 4.

We also determined that our common difference is -4.

Substitute. Hence, our recursive rule is:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit Rule:

The standard format for an explicit rule for an arithmetic sequence is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:

[tex]f(n)=4-4(n-1)[/tex]

To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:

[tex]f(20)=4-4(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]

Hence, our 20th term is -72.

Answer:

(0,4) (3,5) (6,6)

Step-by-step explanation:

solid line

shaded above

Answer:

8300

Step-by-step explanation:

i believe it is 8300 but if im wrong let me know

Answer:

2 glasses

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

6(2)

Answer:

C) 128

Step-by-step explanation:

Sum of all three angles of triangle = 180

Let the third angle be 'x'

x + 12 + 40 = 180

     x + 52 = 180

             x = 180 - 52

            x = 128

Answer:

The correct option is;

26.8

Step-by-step explanation:

The given parameters are;

The perpendicular bisectors of the sides of ΔMNP = Segments OQ, OR, and OS

Therefore;

in Segment MN, segment QM = segment QN, by definition of bisected line

Segment OQ = Segment OQ by reflexive property

∠OQM = ∠OQN = 90° by definition of perpendicular bisector

∴ ΔOQN ≅ ΔOQM, by SAS rule of congruency

Segment MO ≅ Segment ON by Congruent Parts of Congruent Triangle are Congruent, CPCTC

Segment MO = Segment ON = 26.8, by definition of congruency

Segment MO = 26.8

Answer: [tex]\frac{19}{39}[/tex]

Step-by-step explanation:

1. S(a+b) = 15/13

2. I tells us that sina = 2/3

3. 2/3 + sinb = 15/13

4. Solve for sinb which will be 19/39

I hope this is right.

Answer:

1h 18min

Step-by-step explanation:

Not sure if that is what the problem is asking you.

Answer:

An 1 hour and 18 minutes

Step-by-step explanation:

Yes uhmmm hope this helps I guess

Answer:

Step-by-step explanation:

square root of 25x^2 is 5x.  square root of 36 is 6

2(5x)(6)

60x

Answer:

193.8

Step-by-step explanation:

a = 3.8 times 10^13 = 38,000,000,000,000

b = 5.1 times 10^-12 = 0.0000000000051

a times b = 193.8

Answer:

the first option has a sum of 20

Step-by-step explanation:

Answer:

the first one has a sum of 20

Step-by-step explanation:

Answer:

9.55 hope this helps :)

Step-by-step explanation:

  1

  2.30

  2.50

+ 2.75

  2.00

-----------

  9.55

Answer:

A.

Step-by-step explanation:

Answer:

7.9 or 7 9/10

Step-by-step explanation:

Answer:

$901.9918

Step-by-step explanation:

$901.9918

Answer:

{-6}

Step-by-step explanation:

Step 1 Raise both sides of the equation to the index of the radical in the case 2

[tex](\sqrt{2x+13} )^{2} =(x+7)^{2}[/tex]

[tex]2x + 13 = (x+7)(x+7)[/tex]

[tex]2x +13 = x^{2} + 14x + 49\\0=x^{2} +12x+36[/tex]

Step 2 Factor

(x + 6)(x + 6) = 0

x + 6 = 0

x = - 6

Step 3 Check -6

[tex]\sqrt{2(-6)+13} = -6 + 7\\\sqrt{-12+13} = 1\\\sqrt{1} = 1\\1 = 1[/tex]