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tresset_1 [31]
3 years ago
14

Find the slope and y-intercept of the line that is

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

slope= 3/2

y-intercept= -1/2

Step-by-step explanation:

y =  -  \frac{2}{3} x + 5

The product of the gradients of 2 perpendicular lines is -1.

( -  \frac{2}{3} )(gradient \: of \: line) =  - 1 \\ gradient \: of \: line \\  =  - 1 \div ( -  \frac{2}{3} ) \\  =  - 1 \times ( -  \frac{3}{2} ) \\  =  \frac{3}{2}

y =  \frac{3}{2} x + c

Substitute a coordinate into the equation.

When y=7, x=5,

7 =  \frac{3}{2} (5) + c \\ 7 =  \frac{15}{2}  + c \\ c =7 -   \frac{15}{2}  \\ c =  -  \frac{1}{2}

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
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The opposite angles of a quadrilateral are supplementary so you can set them equal to 180.

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3 years ago
One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"
iVinArrow [24]

Answer:

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

x+y+z=180^o -----> equation A

One angle of a triangle measures  10 degrees more than the second

x=y+10 ----> equation B

The measure of the third angle is twice the sum of the first two angles

z=2(x+y) ---> equation C

substitute equation B in equation C

z=2(y+10+y)

z=4y+20 ----> equation D

substitute equation D and equation B in equation A

(y+10)+y+(4y+20)=180^o

solve for y

6y=180-30\\6y=150\\y=25^o

Find the value of x

x=25+10=35^o

Find the value of z

z=4(25)+20=120^o

therefore

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

5 0
3 years ago
An architect plans to build an extension to​ Meiling's rectangular deck. Let x represent the​ increase, in​ meters, of her​ deck
elena-14-01-66 [18.8K]

Complete question is;

An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.

Answer:

4x + 32

Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.

Thus, area is;

A = 4(x+8)

Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

Thus;

A = (4 * x) + (4 × 8)

A = 4x + 32

8 0
3 years ago
Pls help!! need it fast.... I'm stuck
viktelen [127]

Answer:

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Step-by-step explanation:

4 0
2 years ago
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Answer:

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