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3 years ago

A translation is

2 answers:

6 0

In geometry translation it means moving a shape into a different position, without changing it in any way. I would go with C.

Eduardwww [97]3 years ago

5 0

Answer:

The answer is B..

Step-by-step explanation:

A translation is a transformation in which every point moves the same direction and distance.

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A bridge has a single lane and is 122 feet long. The weight limit for the bridge is 20 tons. Each car that might be on the bridg

gulaghasi [49]

Answer:

2.8 t ≤ 12 tons , 16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.

Step-by-step explanation:

The number of trucks on the bridge = t

Number of cars = 10

Total length of Bridge = 122 ft, and weight = 20 tons

Total length of Car = 7.4 ft, and weight = 1.2 tons

Total length of truck = 16 ft, and weight = 2.8 tons

Now, there are 10 cars on the bridge.

So, total length of bridge covered = 7.4 x 10 = 74 feet

Hence, the available length of bridge for trucks = 122 - 74 = 48 ft

Also, total weight of bridge covered = 1.2 x 10 = 12 tons

Hence, the available weight of bridge for trucks = 20 - 12 = 8 tons

Hence, according to the question:

2.8 t ≤ 12 tons and

16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.

6 0

3 years ago

Demi has 21 baseball cards and 13 football cards.

djyliett [7]

Answer:

Step-by-step explanation:

21+13+19+36=89

6 0

2 years ago

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

3 years ago

the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

fiasKO [112]

Answer:

The pressure is $20\ psi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$V*P=k$

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For $V=100\ in^{3}$ , $P=25\ psi$

step 1

Find the value of k

substitute the values of V and P

$100*25=k$

$k=2,500$

The equation is equal to $V*P=2,500$

step 2

Find the pressure when the volume is 125 cubic inches

For $V=125\ in^{3}$

substitute in the equation and solve for P

$125*P=2,500$

$P=2,500/125=20\ psi$

8 0

3 years ago

Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets. Let W denote

Drupady [299]

The constraint on time is
.. 75W +15M ≥ 300 . . . . . . . minutes

The constraint on paper is
.. 3W +M ≤ 20 . . . . . . . . . . . sheets of paper

6 0

2 years ago