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mafiozo [28]
3 years ago
8

Given h(x)=-x-4, solve for x when h(x)=4

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Step-by-step explanation:

h(x)=-x-4

but h(x)=4

4=-x-4

x=-4-4

x=-8

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Two adjacent sides of a parallelogram are 6mm and 10mm respectively, and they form an angle measuring 60. Find the area of the p
Snowcat [4.5K]

Answer:

51.96 mm² approximately

Step-by-step explanation:

the first thing you should know is that the area of a rectangle is base*height sin of (

the included angle i.e

Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°

<em>Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:</em>

Aparallelogram= bh sin of sin of the included angle

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately

4 0
3 years ago
Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to point distance. the calculation is: d
Ronch [10]

we are given two points as

(1.0, 2.0) and (1.0, 5.0)

so,

(x1, y1)= (1.0 , 2.0)

(x2, y2)= (1.0 , 5.0)

x1=1 , y1=2

x2=1 , y2=5

now, we can use distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

now, we can plug values

and we get

d=\sqrt{(1-1)^2+(5-2)^2}

d=\sqrt{(0)^2+(3)^2}

d=\sqrt{(3)^2}

d=3

so, distance between points is 3...........Answer

5 0
3 years ago
(3/5)^2 + 4 x 3 - 2<br><br><br><br><br> Please help :)
Molodets [167]

Answer:

10 \frac{9}{25}

Step-by-step explanation:

\bigg(  \frac{3}{5} \bigg)^{2}  + 4 \times 3 - 2 \\  \\  =  \frac{9}{25}  + 12 - 2 \\  \\  =  \frac{9}{25}  + 10 \\  \\  =  \frac{9 + 10 \times 25}{25}  \\  \\  =  \frac{9 + 250}{25}  \\  \\  =  \frac{259}{25}  \\  \\  = 10 \frac{9}{25}

5 0
2 years ago
Let f(x) = x2 and g(x) = x - 3.<br> Evaluate (gºf)(-2).<br> A. -20<br> B. 20<br> C. 7<br> D. 1
7nadin3 [17]

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as <em>x</em>

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

7 0
3 years ago
What is the slope of the line passing through the points (-1,-7) and (-9,-2)?
nalin [4]

Answer: m = -5/8

Step-by-step explanation:

The general equation for slope is rise over run, also known as:

m=(y2-y1)/(x2-x1)

From the points (x, y), we can get all the variables we need.

(-1, -7) gives us x1 = -1 and y1 = -7

(-9, -2) gives us x2 = -9 and y2 = -2

If we plug all the values in, we get:

m = (-2 - (-7))/(-9 - (-1))

m = (-2 + 7)/(-9 + 1) the negatives cancel

m = (5)/(-8)

m = -5/8

7 0
3 years ago
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