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3 years ago

Need help with this please

Mathematics

1 answer:

nevsk [136]3 years ago

7 0

A would be "each point does not always give the same amount of tickets. B would be "the price for each pound of tuna appears to be the same".

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Help me please thanks

Katarina [22]

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

7 0

3 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

Suppose that the home you are buying sits on a rectangular shaped lot that is 240 feet by 139 feet. Convert this area to square

spin [16.1K]

Answer:3099.25

Step-by-step explanation:

240 feet * 139 feet = 33360 ft.

Divide 33360 by 10.764= 3099.245

"Round to the nearest hundredth = 3099.25

6 0

4 years ago

A circle in the standard (x,y) coordinate plane has

Otrada [13]

Given:

Center of a circle is at point C(-1,2).

AB is the diameter of the circle.

Coordinates of the point A are A(2,6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Point C = Midpoint of AB

$(-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)$

On comparing both sides, we get

$\dfrac{2+a}{2}=-1$

$2+a=-1\times 2$

$a=-2-2$

$a=-4$

Similarly,

$\dfrac{6+b}{2}=2$

$6+b=2\times 2$

$b=4-6$

$b=-2$

Therefore, the coordinates of point B are (-4,-2).

8 0

3 years ago

Qill anyone be kind enough to help me with this question?

katrin [286]

Its right,vertical,and complementary.Hope this helps you a bunch!

3 0

3 years ago