The length of a photograph is 3cm less than twice the width. the area is 54cm. whats the demention

Answers

Answer 1

Answer: Knowing that 6*9=54, and using the formula:
L=2w-3
2(6)-3
12-3
9=L

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Zachary purchased a computer for $1,900 on a payment plan. Two months after he purchased the computer, his balance was $900. What is an equation that models the balance y after x months

Answers

Answer:

$y=-450x+1900$

Step-by-step explanation:

According to the problem, the payment plan is $1,900, so automatically our balance is $1,900. We are then told after two months, his balance was $900:

$1900=900(2)$

To achieve the equation the problem is asking for we have to find how much Zachary would possibly be paying for one month. Divide the $900 into two months:

$(900)/(2)$

$=(450)/(1)$

Zachary pays $450$ a month, and we have to remember this is being subtracted from the initial balance. We can represent this as:

$y=mx+b$

$y=-450x+1900$

The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?a. BD bisect AC
b. AB=CD
c. BAD=BCD
d. AC=BD

Answers

Answer:

(D)

Step-by-step explanation:

It is given that The diagonals of parallelogram ABCD intersect at point E.

then, using the properties of parallelogram, we get

(A) BD bisects AC

This is correct statement because the diagonals bisect each other in parallelogram.

(B) AB=CD

This is correct statement because the opposite sides of the parallelogram are equal.

This is correct because opposite angles of the parallelogram are equal.

(D) AC=BD

This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.

Hence, option D is correct option that is not necessarily true.

I hope this helps you

Simplifying expressions-Please help!!

Answers

Answer:

6.2k

8.11w-10

10.-7m

12.6b

14.8+7x

Step-by-step explanation:

Friend the missing side of each triangle

Answers

√5
Because the triangle is a right triangle, we are able to use the Pythagorean Theorem to find the final side. Keep in mind that we have the hypotenuse and a leg, so we don't need to solve for the hypotenuse, c.

a² + b² = c² Pythagorean Theorem
√10² + b² = √15² Substitute
10 + b² = 15 Exponents
b² = 5 Subtract 10 from both sides
b = √5

The missing side is √5.

Hope this helps!

right trianlge

a^2+b^2=c^2
wher a and b are legs and c=hypotnouse
(hypotonuse is side oposite right angle)

c=√15
one leg is √10, call it a
find x
(√10)^2+b^2=(√15)^2
10+x^2=15
minus 15 both sidees
x^2=5
sqrt both sides
x=√5

x=√5cm

Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4