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3 years ago

Rewrite the equation in Slope-Intercept Form. y+4=−12(x−2)

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer: y = -12x +20

Step-by-step explanation: 1. distribute the -12 into the (x-2), that equals -12+24

2. subtract the 4 from the left side to move it to the right side of the equation

3. add like terms, so 24 + (-4) or 24-4 which equals 20.

4. Answer: y=-12x+20

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Emily is buying new cold weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amo

inysia [295]

Answer:

A) 100 x (4/5)

Step-by-step explanation:

Spent a total of 100 dollars, all being the same price

Each is 20 dollars.

For 4 pairs it would be 80.

100 x (4/5) = 80

4 0

2 years ago

A pole that is 3m tall casts a shadow that is 1.22m long. At the same time, a nearby building casts a shadow that is 38.5m long.

vichka [17]

Refer to the diagram shown below.

The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).

The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore
$\frac{DE}{BC} = \frac{AD}{AB} \\\\ \frac{h}{3} = \frac{38.5}{1.22}$

Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m

Answer: 141 m (nearest meter)

5 0

4 years ago

Read 2 more answers

Saquina dilates a digital photograph by a factor of 1.75 to create a new digital photograph similar to her original photograph.

KATRIN_1 [288]

Answer

Perimeter = 1.75 times larger

Area = 3.0625 times larger

Step-by-step explanation:

Let the original quadrilateral have sides of a, b, c, d

Perimeter of the New Photograph

Then the perimeter of the original is P = (a + b + c + d)
Now the perimeter of the new quad is P = 1.75a + 1.75b + 1.75c + 1.75d
Using the distributive Property we get P = 1.75(a + b + c + d) So the new perimeter is 1.75*the old perimeter.

Area of the New Photograph

The area is a little harder. Suppose the Old figure had an Area found by the formula of

Area = e * f Each measurement is increased by a factor of 1.75
Area_new = 1.75e * 1.75f
Area_new = 3.0625 * e * f
Area_new = 3.0625 * old area

6 0

3 years ago

Can someone Please help me on this easy math problem

allsm [11]

Step-by-step explanation:

Equation of a straight line

y = mx + c, m is the slope, and c the intercept

points (3,7) x = 3, y = 7, c = 1

7 = m × 3 + 1

7 = 3m + 1

3m = 7 - 1

3m = 6

m = 6/3

m = 2

6 0

3 years ago

a boat costs $16,600 and decreases in value by 14% per year. how much will the boat be worth after 11 years ?

MAVERICK [17]

Answer:

In the end, $16600 has turned into $3159.30.

Step-by-step explanation:

Notice that at each compounding step above, the new principal can be found by applying this formula:

NewPrincipal = CurrentPrincipal × (1 + r)

where r is your interest rate at the time of compounding, in this case -14% (or -0.14 in the calculations).

As an example, look at the first compounding step:

$14276.00=$16600.00 × (1 + -0.14).

And the second:

$12277.36=$14276.00 × (1 + -0.14).

In fact, the whole compound interest amount boils down to multiplying (1+r), or (1+-0.14), times your original principal 11 times (11 years at 1 compouding(s) per year).

Mathematically though, this is equivalent to multiplying your orginial principal by the factor (1+-0.14)11.

If we do this, we'll get that your final amount is:

$16600.00 × (1+-0.14)11=$3159.30

8 0

3 years ago