X intercepts for x-intercept of y = -4x^2 + 8x + 12

The area of a rectangular mirror is 15 7 16 square feet. The width of the mirror is 3 1 4 feet. If there is a 5 foot tall space

Vlad1618 [11]

Given:

Area of rectangle = $15\dfrac{7}{16}$ sq. feet.

Width of the mirror = $3\dfrac{1}{4}$ feet.

To find:

Whether it will fit on the wall whose length is 5 foot.

Solution:

We know that, area of a rectangle is

$Area=length\times width$

$\dfrac{Area}{width}=length$

Substituting the given values, we get

$Length=\dfrac{15\dfrac{7}{16}}{3\dfrac{1}{4}}$

$Length=\dfrac{\dfrac{15\times 16+7}{16}}{\dfrac{3\times 4+1}{4}}$

$Length=\dfrac{\dfrac{240+7}{16}}{\dfrac{12+1}{4}}$

$Length=\dfrac{\dfrac{247}{16}}{\dfrac{13}{4}}$

$Length=\dfrac{247}{16}\times \dfrac{4}{13}$

$Length=4.75
$

So, length of mirror is 4.75 feet which is less than 5 feet.

Therefore, the mirror will fit on the wall.

8 0

2 years ago

Select the two statements that are true about the equation y+6=−10(x−3).

qwelly [4]

I have taken that test (although I don't see you're statements)

I believe the statements to choose from are:

A.) The slope of the line is −10.

B.) The slope of the line is 3.

C.) One point on the line is (3, 6).

D.) One point on the line is (3,−6)

The answers are:

A.) The slope of the line is -10

D.) One point on the line is (3,-6)

Explanation:

The given equation of line is (1). The point slope form of a line is (2) Where m is the slope of line and (x₁,y₁) are points. On comparing (1) and (2) we get The slope of given line is -10 and the line passing through the points (3,-6).

6 0

3 years ago

Will make bianleast no picture

natita [175]

Answer: 24, 24, 47

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c & a + c > b & b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than 45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27

all combinations are true so these side lengths can form a triangle

7 0

2 years ago

. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre

MrRa [10]

Answer: 19 degrees is your answer

Step-by-step explanation:

5 0

1 year ago

During a 60 minute television program, 25% of the time is used for commercials and 5% of the time is used for the opening and cl

aksik [14]

Answer:

42 minutes

Explanation:

The total amount of anything expressed in percentage is 100%.

The reason for this is that per cent means per hundred.

So, 100% is

100

×

1

100

=

100

×

1

100

=

1

, which is a whole.

Moving to the question, a total of 25% + 5% = 30% of the time is used up by commercials and credits.

The time left for the program is 100% - 30% = 70%.

This is 70% of 60 minutes or

70

100

×

60

=

7

0

1

00

×

6

0

=

Step-by-step explanation:

3 0

3 years ago