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Sergio039 [100]
3 years ago
14

What is the slope of this linear function? y=−4x−9

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

The slope of the given linear function is -4.

Step-by-step explanation:

We have been given the linear equation y=-4x-9

The slope intercept form of a line is given by y=mx+b

Here, b is y-intercept and m is the slope.

On comparing, the given equation with the slope intercept form, we get

b = -9

m = -4

It means that the y-intercept is -9 and the slope of the line is -4.

Therefore, the slope of the given linear function is -4.

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b] In the opposite figure : XYZL is a square, XZ = 10 cm. , m(L XZY) = 43° Calculate the perimeter of triangle XYZ ​
scoray [572]

Answer:

Perimeter of Δ XYZ = 24.13

Step-by-step explanation:

In Δ XYZ is a right  triangle because the XYZL is a square.  Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.

Using the trig ratios:  

XY = opposite/ hypotenuse which is Sin 43°

Sin 43° = XY/ 10

10(Sin 43°) = XY

 6.82 = XY

YZ = adjacent/hypotenuse which is Cos 43°

Cos 43° = YZ/10

10(cos 43°) = YZ

7.31 = YZ

Now the Perimeter = XY + YZ + XZ

  Perimeter = 6.82 + 7.31 + 10

  Perimeter = 24.13  

4 0
3 years ago
PLZ HELP I WILL DO MORE POINTS IF U GET IT RIGHT PLZZZ
bezimeni [28]

Answer: 62 1/12 cubic cm

Step-by-step explanation:

5 0
4 years ago
Evaluate: 8 – 4(5) + 12. Work and explanation please!
goldfiish [28.3K]
8-4(5)+12
8-20+12
20-20
0

Hope this helps :)
8 0
3 years ago
Read 2 more answers
Find the value of the length x rounded to 1 DP.
ivanzaharov [21]

Answer:

x = 13.6 cm

Step-by-step explanation:

part A:

using tan rule:

tan(x) = \frac{opposite}{adjacent}

tan(39) = \frac{6}{adjacent}

adjacent = \frac{6}{tan(39)}

adjacent = 7.41

part B:

using tan rule:

tan(x) = \frac{opposite}{adjacent}

tan(44) = \frac{6}{adjacent}

adjacent = 6.213

Total length of x:

part A + part B

7.41 + 6.213

13.6 cm

6 0
2 years ago
Read 2 more answers
A ray of light passing from air through an equilateral glass prism undergoes minimum
Mama L [17]

Answer: 45° and speed of light in prism 2×10⁸m/s

Step-by-step explanation:

The minimum deviation of the equilateral glass prism will form 60° angle.

So angle of incidence = 3/4×60

= 3 ×15

= 45°

Minimum deviation = δmin

= 30

After finding the value of μ using prism law

μ = 1.41

Speed of light will be 2×10⁸m/s

Must click thanks and mark brainliest

5 0
3 years ago
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