Write a related equation that has the variable on one side. Then simplify the other side.

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

Because 5 is being subtracted from 1 side, do the opposite and add it to both. 61 plus 5 = 66, so D is correct.

You might be interested in

Joe ate 1/3 of a pizza and jane ate 1/5 of the pizza. How much of the pizza was eaten

NikAS [45]

Answer:

7/15

Step-by-step explanation:

If we're seeing how much pizza they both ate, we would add them together.

$\frac{1}{3}+\frac{1}{5}$

Find the common denominator

$\frac{5}{15}+ \frac{3}{15}$

add

$\frac{7}{15}$

7/15 of the pizza was eaten

5 0

3 years ago

Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ

bixtya [17]

Answer:

$AB=2\sqrt{ab}$

Step-by-step explanation:

From figure,

$OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)$

In triangle $OO'D$

$(OO')^2=(OD)^2+(O' D)^2$

$\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]$

Hence, $AB=2\sqrt{ab}$

6 0

3 years ago

For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in

Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is $p'(x)=3x^2-9$ . In particular, the value we are looking for is $p'(2)=3(2^2)-9=12-9=3$ .