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3 years ago

If a square has a side of 4', what would the area be?A= s2=sxsA= 42= 4'x4A= 16 sq. ft.

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

16 sqft.

Step-by-step explanation:

A=L(W)

A=4(4)

A=16

Hope that helps

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Graph the line with slope 4 and y-intercept -7

antoniya [11.8K]

Start on -7 since it is the y intercept(b). 4/1 is the slope. So from seven you would go up 4 right 1.

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3 years ago

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PLEASE, I NEED HELP FOR A CLASS. The length of triangle base is 26. A line, which is parallel to the base divides the triangle i

sasho [114]

Answer:

$DE=18.38$

Step-by-step explanation:

It is given that the length of triangle base is 26 that is BC=26.

A line, which is parallel to the base divides the triangle into two equal area parts.

Therefore, from the given information, $\frac{{\triangle}ADE}{ar ABC}=\frac{1}{2}$ .

Now, since it is given that A line, which is parallel to the base divides the triangle into two equal area parts, thus

$\frac{ar ADE}{arABC}=\frac{1}{2}=\frac{(DE)^{2}}{(BC)^{2}}$

⇒ $\frac{(DE)^{2}}{(BC)^{2}}=\frac{1}{2}$

⇒ $\frac{(DE)^{2}}{(26)^{2}}=\frac{1}{2}$

⇒ $(DE)^{2}=13{\times}26=338$

⇒ $DE=18.38$

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3 years ago

the sum of two consecutive integers is three times their difference.what is the larger number.please help!

Vesnalui [34]

9514 1404 393

Answer:

Step-by-step explanation:

If n is the larger integer, n-1 is the smaller. The difference of consecutive integers is 1, so their sum is ...

n +(n -1) = 3(1)

2n = 4 . . . . . . . . . add 1

n = 2 . . . . . . . . . . divide by 2

The larger integer is 2.

4 0

3 years ago

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Divide $210 in the ratio 2:5

RideAnS [48]

Let us say Karen received X amount of money. Then Natasha has received (X+210).
The ratio that the money divided was 2:5.
X/(X+210) = 2/5
5X = 2(X+210)
3X = 420
X = 140
Total money shared
= X+(X+210)
= 140+140+210
= 490

So the total money shared was $490.

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3 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

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2 years ago