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2 years ago

Graph the equation using the slope and y-intercept for 2y=4x+4

Mathematics

1 answer:

svp [43]2 years ago

3 0

So first you divide by 2 from y so it would equal y=4x+2 and the slope is 4 over 1 and the yintercept is (0,2)

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

2 years ago

Number 12. Find angle ADE

mr_godi [17]

Answer:

ADE=59º

Step-by-step explanation:

4x+15+13x+7=90

17x+22=90

17x=68

x=4

angle B=angle ADE so we plug in x=4 into 13x+7

13(4)+7=59º

5 0

2 years ago

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The quantity of four minus one all raised to the five-minus- two power

leva [86]

Answer:

(4-1)^5-2

Step-by-step explanation:

The quantity means parenthesis, around four minus one, (closed quantity), all raised to the power (exponent) five minus 2

3 0

2 years ago

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Please simplify this in fraction form(-3/10)(-2/9)

otez555 [7]

Answer:

These fractions are already in simplest form.

Step-by-step explanation:

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2 years ago

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Jan’s age is 3 years less than twice Tritt’s age. The sum of their ages is 30. Write an equation that could be used to find the

musickatia [10]

Answer:

x=2y-3

Step-by-step explanation:

x=Jan's age

y=Tritt's age

4 0

2 years ago

Graph the equation using the slope and y-intercept for 2y=4x+4​

Graph the equation using the slope and y-intercept for 2y=4x+4