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3 years ago

5

Solve the system using substitution 3x+7y=3 x-3y=-15

1 answer:

erik [133]3 years ago

6 0

Answer:

3x+7y=3

x-3y=-15

2x+4y=-18

HOPE THIS HELPS!!!!!!!

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What is the measure of ABC <br> A. 63<br> B. 126<br> C. 44<br> D. 82

sdas [7]

The correct answe is D.82

6 0

2 years ago

Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of

yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster = (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?

elena-s [515]

Answer:

The multiple zero is $x=-5$ .

The multiplicity is 2

Step-by-step explanation:

The given function is

$f(x)=x^3+10x^2+25x$

To find the zero of this function, we equate it to zero.

$\Rightarrow x^3+10x^2+25x=0$

We factor to obtain;

$x(x^2+10x+25)=0$

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

$x(x+5)^2=0$

This implies that;

Either $x=0$ or $(x+5)^2=0$

$(x+5)^2=0$ has a multiple zero which is

$x=-5$ and its multplicity is 2.

3 0

3 years ago

Data Set: {60, 30, 35, 30,25}

GrogVix [38]

30 is the correct answer

3 0

2 years ago