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2 years ago

2.2

Mathematics

1 answer:

Ludmilka [50]2 years ago

4 0

Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

( 6 x $150) / 5 = $180

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A line passes through the point (4,7) and has a slope of -5/2.

pshichka [43]

Answer:

$y=-\frac{5}{2} x+17$

Step-by-step explanation:

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2 years ago

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anastassius [24]

Answer:

Step-by-step explanation:

The answer is 12 miles, if every inch is 3 miles on the map then 3x4=12.

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Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

just olya [345]

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

7 0

2 years ago

I NEED HELP ASAP!!!!!!! A. m= -2 B. m= -1/2 C. m= 2 D. m= 1/2

LenaWriter [7]

Answer:

A. m = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{-2-0}{1-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-2}{1}$
[Fraction] Divide: $\displaystyle m=-2$

6 0

2 years ago

NO LINKS!!!! Find the equation of the circle below

inysia [295]

Answer:

$(x+3)^2+(y-2)^2=9$

Step-by-step explanation:

Equation of a circle

$(x-a)^2+(y-b)^2=r^2$

where:

(a, b) is the center
r is the radius

From inspection of the diagram, the center of the circle appears to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.

Substitute these values into the general form of the equation of a circle:

$\implies (x-(-3))^2+(y-2)^2=r^2$

$\implies (x+3)^2+(y-2)^2=r^2$

Again, from inspection of the diagram, the maximum vertical point of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

⇒ radius (r) = 5 - 2 = 3

Substitute the found value of r into the equation:

$\implies (x+3)^2+(y-2)^2=3^2$

Therefore, the final equation of the given circle is:

$\implies (x+3)^2+(y-2)^2=9$

7 0

1 year ago

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