Subtract using the number line. −4−(8)

The equation y= 1/2 x +4 is graphed below.which equation would intersect this line at (4, 6)?

Anton [14]

Answer:

we have the equation y = (1/2)*x + 4.

now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:

f(4) = 6.

if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).

If we want to construct f(x), an easy example can be:

f(x) = y = k*x.

such that:

6 = k*4

k = 6/4 = 3/2.

then the function

f(x) = y= (3/2)*x intersects the equation y = (1/2)*x + 4 in the point (4, 6)

5 0

2 years ago

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

vitfil [10]

Answer:

(A) $e^2$

(b) $e^{-3}$

(c) $e^2$

(d) $e^3$

Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) $(\frac{1}{e})^{-2}$

So $(\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2$

(b) $(\frac{e^5}{e^2})^{-1}$

So $(\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}$

(c) $\frac{e^5}{e^3}$

So $\frac{e^5}{e^3}=e^2$

(d) $\frac{1}{e^{-3}}=e^3$

7 0

2 years ago

PART A: A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the tr

Greeley [361]

Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.

(b) Determine the scale factor from the first map to the second map.

(c) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

$Length =4cm$ <em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>