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3 years ago

Write the equation of a line that is parallel to y = 9 and that passes through the point (3,-8)

Mathematics

2 answers:

Elis [28]3 years ago

5 0

Answer:

y=-8

Step-by-step explanation:

Leto [7]3 years ago

4 0

Answer:

y=9

Step-by-step explanation:

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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

$A=x*y$

The area of the two congruent right triangles is equal to the area of the rectangle

$A=2*44=88\ in^{2}$

$88=x*y$ -------> equation A

$y=x-3$ -----> equation B

Substitute equation B in equation A

$x*[x-3]=88$

$x^{2} -3x-88=0$ --------> equation that can be used to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

$x=11\ in$ -----> the length of the rectangle

Find the value of y

$88=11*y$

$y=8\ in$ ----> the width of the rectangle

Statements

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) The equation $x*[x-3]=44$ can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation $x*[x-3]=88$ can be used to solve for the dimensions of the triangle

case C) The equation $x^{2} -3x-88=0$ can be used to solve for the length of the rectangle

The statement is True

see the procedure

case D)The triangle has a base of $11$ inches and a height of $8$ inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

case E) The rectangle has a width of $4$ inches

The statement is False

See the procedure

8 0

3 years ago

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What is the answer to 1/4 + 1/2

goblinko [34]

$\frac{1}{4} + \frac{1}{2} \\ \\ \frac{1}{4} + \frac{1*2}{2*2} \\ \\ \frac{1}{4} + \frac{2}{4} \\ \\ \frac{1+2}{4} \\ \\ \frac{3}{4}$

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3 years ago

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Find the discriminant of 5x^2+3x-5=0 for x

Marta_Voda [28]

The discriminant is 109

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4 years ago

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Solve for E. 50−3.6(E−4)=32

DedPeter [7]

E= 9 because you have to distribute -3.6 to E and -4

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3 years ago

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Consider a group of 1,000 newborn infants. One hundred (100) infants were born with serious birth defects, and 20 of these 100 d

kozerog [31]

Answer:

The prevalence of serious defects in this population at the time of birth is 10%.

Step-by-step explanation:

The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.

In this problem, we have that:

There were 1000 newborn infants.

100 infants were born with serious birth defects.

Calculate the prevalence of serious defects in this population at the time of birth.

This is:

$P = \frac{10}{100} = 0.1$

The prevalence of serious defects in this population at the time of birth is 10%.

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3 years ago