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3 years ago

Which equation represents the graphed function?

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

Answer:

y = -2x + 3

Step-by-step explanation:

If you use the formula to find slope, which is y2-y1 over x2-x1, you can find the slope is -2. the only equation that has -2 as the slope is the first one, y = -2x + 3. hope I helped!

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Fill in the blank. If necessary, use the slash mark ( / ) for a fraction bar.

kipiarov [429]

Answer:

cos Ф = adj / hyp could be either 4/5 or -4/5.

Step-by-step explanation:

If sin Ф = 3/5, then we can assume that the opposite side is 3 and the hypotenuse is 5. Using the Pythagorean Theorem, we find that the adjacent side is 4:

√(5² - 3²) = √16 = ±4.

cos Ф = adj / hyp could be either 4/5 or -4/5.

8 0

3 years ago

Read 2 more answers

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

$AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7$

Similarly,

$BC=\sqrt{(5-(-2))^2+(4-4)^2}=7$

$CD=\sqrt{(5-5)^2+(4-(-3))^2}=7$

$AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7$

It is conclude that, $AB=BC=CD=AD$ .

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

$P=4a=4(7)=28\text{ yards}$

Area of square floor is

$A=a^2=7^2=49\text{ sq. yards}$

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0

3 years ago

Martin starts at 300 and counts by fives to 420. What are the last 6 numbers Martin will say?

Neko [114]

The last six numbers are:
390, 395, 400, 405, 410, 415
Hope this helps☺

3 0

4 years ago

Read 2 more answers

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

eimsori [14]

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

Find the area of the base B

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

8 0

3 years ago

Write a quadratic function with two real zeros.

satela [25.4K]

The formula for quadratic equation is given by:

x² - (sum)x + (product) = 0

so if we have real roots of 3 and 5

 x² - (3 + 5)x + (3*5) = 0
 x² - 8x + 15 = 0

so if we have real roots of -3 and -6

 x² - (-3 - 6)x + (-2*-6) = 0
 x² - (-9x) + 12 = 0
 x² + 9x + 12 = 0

5 0

4 years ago