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kotykmax [81]
4 years ago
15

Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.

Mathematics
1 answer:
Tems11 [23]4 years ago
3 0
Y - y1 = m(x - x1).....this is point slope form
slope(m) = -1
(2,4)...x1 = 2 and y1 = 4
now we sub
y - 4 = -1(x - 2) <===
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Gracie is shipping a cube shaped box. It measures 14in x 14in x 14in. What is the surface area of the box?
DanielleElmas [232]
14× 14 = 196 area of 1 of the squares. on a cube there are 6 squares so multiply 196 by 6

196 × 6 = 1176 sq in
8 0
3 years ago
Find the total surface area of this triangular prism.<br> 30 cm<br> 18 cm<br> 7 cm<br> 24 cm
Inessa05 [86]

Answer: <em>936 cm²</em>

Step-by-step explanation:

<em>A = (18 × 24 × 0.5) × 2 + (18 + 30 +24) × 7 = 936 (cm²)</em>

5 0
3 years ago
The hypotenuse of a right triangle is 26 mm. One leg of the right triangle is 10 mm. What is the length of the other leg? (4 poi
PIT_PIT [208]

Answer:

24 mm

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean theorem

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.

10^2+b^2=26^2

Solve the exponents

100+b^2=676

Now, solve for b. To do this, get b by itself.

First, subtract 100 from both sides

100-100+b^2=676-100

b^2=576

Take the square root of both sides

\sqrt{b^2}=\sqrt{576}

b=24

So, the other leg is 24 mm

7 0
3 years ago
Given the function f(X)= |3x-7|, find the values of X that satisfy the equation f(X) = 4
Kay [80]

Answer:

x = 1 or x = \frac{11}{3}

Step-by-step explanation:

The expression inside the absolute value function can be positive or negative

That is 3x - 7 = ± 4

There are 2 equations to solve

(1)

3x - 7 = 4 ( add 7 to both sides )

3x = 11 ( divide both sides by 3 )

x = \frac{11}{3}

(2)

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1


5 0
3 years ago
Find the average rate of change of g(x)=<br> –<br> 2x+3 over the interval [12,19].
likoan [24]

Answer:

2

Step-by-step explanation:

(y2-y1)/(x2-x1)

m*thway can be used to double check

8 0
3 years ago
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