All categories

2 years ago

What value will make the equation below true? Equation: -2.1- ? = -1.50

Mathematics

1 answer:

dezoksy [38]2 years ago

5 0

Answer:

? = −0.6

Step-by-step explanation:

If you preform the opposite operation, you get what ? equals.

-2.1 + 1.50 = -0.6

You might be interested in

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

4 years ago

Find the sum of the following ap .1) 1/15, 1/12, 1/10,....,to 11 terms

sertanlavr [38]

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20

8 0

3 years ago

If four of the exterior angles of a convex pentagon measure

MakcuM [25]

Answer:

120 degrees.

Step-by-step explanation:

The 5 exterior angles sum to 360 degrees.

So the 5th exterior angle = 360 - 4(60)

= 360 - 240

= 120 degrees.

3 0

3 years ago

Read 2 more answers

What is the Slope of this equation? y=-6/5x-5

-BARSIC- [3]

Answer:

Slope = - 6/5

Step-by-step explanation:

Step 1:

y = mx + b Slope Intercept Form

Step 2:

m = Slope

Step 3:

y = - 6/5x - 5 Equation

Answer:

Slope = - 6/5

Hope This Helps :)

6 0

3 years ago

Read 2 more answers

Simplify. Your answer should contain only positive exponents. -2^х

polet [3.4K]

Answer: I'm not entirely sure, but maybe 1/x^2?

8 0

3 years ago

What value will make the equation below true? Equation: -2.1- ? = -1.50​

What value will make the equation below true? Equation: -2.1- ? = -1.50