A quadrilateral with vertices (-3,2),(-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5. Which matrix represents the quadrilateral after it has been dilated?
A.) 1.5 2.5 -2 -3.5
-1 2 -3 0
B.) -1.5 -2.5 2 3.5
1 -2 3 0
C.) -4.5 -7.5 6 10.5
3 -3 9 0
D.) -3.5 -5.5 4.5 7. 5
2.5 -4.5 6.5 0.5

Answers

Answer 1
Answer: Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)

dilated by a scale factor of 0.50

1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)

B.)
 -1.5    -2.5    2    3.5 
     1       -2    3       0 


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What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

x=-1,-7

Step-by-step explanation:

x^2+8x+7=0 where a \neq 0 so a = 1 b = 8 c = 7

Quadratic Formula: x=-b(√(b^2-4ac) )/(2a)

x=-8(√(8^2-4(1)(7)) )/(2(1))

x=-8(√(64-28) )/(2)     Evaluate the exponent and multiply 4ac

x=-8(√(36) )/(2)          Subtract b^2 - 4ac and multiply 2a

x=-8(√(6) )/(2)           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Given the following information, determine if one of the brands is a better buy.Brand A: 14 ounces for $44.66
Brand B: 20 ounces for $63.80
a.
Both brands cost the same per ounce.
b.
Brand A is the better buy.
c.
Brand B is the better buy.
d.
There is not enough information provided to determine the better buy.

Answers

Determine how much cost one ounce in both cases:

1. Brand A: 14 ounces for $44.66, then 1 ounce costs (\$44.66)/(14) =\$3.19.

2. Brand B: 20 ounces for $63.80, then 1 ounce costs (\$63.80)/(20) =\$3.19.

As you can see both brands cost the same per ounce.

Answer: correct choice is A.

Both brands have the same cost which is 3.19 dollars/ounce. The correct answer is option A.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine which brand is the better buy, we need to compare the cost per ounce of each brand.

For brand A:

Cost per ounce = 44.66/14

Apply the division operation,

Cost per ounce = 3.19 dollars/ounce

For brand B:

Cost per ounce = 63.80/20

Cost per ounce = 3.19 dollars/ounce

Therefore, both brands have the same cost per ounce.

Hence, the correct answer is option A.

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(15−x)∙4=10
pls pls answer asapppp

Answers

(15-12.5)*4=10

x=12.5

Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:

Answers

Answer:

see below

Step-by-step explanation:

To find the x intercept set y =0 and solve for x

0= 10x - 32

32 = 10x

Divide by 10

3.2 = x

The x intercept

( 3.2,0)

To find the y intercept set x =0 and solve for y

y= 0 - 32

y = -32

( 0, -32)

Answer:

(0, -32)

(3.2, 0)

Step-by-step explanation:

The line is in slope intercept form. It is easy to identify the y-intercept.

y=mx+b

The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.

To find the x-intercept, set the value of 'y' to zero and solve for 'x'.

0=10x-32\n\n0 + 32 = 10x-32+32\n\n32=10x\n\n(32)/(10)=(10x)/(10)\n\n(32)/(10)=x\n\n\rightarrow (32/2)/(10/2)=(16)/(5)\n\n \boxed{x=(16)/(5)}

The x intercept is (16/5, 0).

This can also be expressed as (3.2, 0).

Hope this helps.

Help Me Please???:):Dfour years after a hedge maple tree was planted, its height was 9 feet. eight years after it was planted, the hedge maple tree's height was 12 feet. what is the growth rate of the hedge maple? what was its height when it was planted?? ...?

Answers

Hedge maple trees growth rate are known to be moderate to slow. I assume that the height of it when it was planted was 6 feet. Since after 4 years, it grew 9 feet and after 8 years it grew 12 feet. I hope this answer helps!

What plus what equals 160

Answers

The equation to show the sum of two number is 160: x + y = 160.

An equation is a mathematical statement that shows that two expressions are equal.

To find two numbers that add up to 160, we can Set up an equation with two unknowns, x and y, representing the two numbers:

x + y = 160

Since there are infinitely many possible combinations of two numbers that add up to 160.

Some combinations are:

1. x = 80, y = 80

80 + 80 = 160

2. x = 50, y = 110

50 + 110 = 160

3. x = 30, y = 130

30 + 130 = 160

4. x = -20, y = 180

-20 + 180 = 160

5. x = 0, y = 160

0 + 160 = 160

These are just a few examples, and there are many other combinations of numbers that satisfy the equation x + y = 160.

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80 plus 80 is equal to 160. It's like 8 plus 8 equals 16, just add a zero to the end to each numbers it's easier to think that way