What is the solution to the following system of equations : y=7/12x+4 and y=7/12x-5

Answer:

[tex]x=60^{\circ}[/tex]

Step-by-step explanation:

The angle formed by [tex]48+x[/tex] and the angle marked as [tex]72^{\circ}[/tex] are co-interior angles and therefore must be supplementary (add up to 180 degrees).

Therefore, we have:

[tex]48+x+72=180,\\x+120=180,\\x=\boxed{60^{\circ}}[/tex]

four times m equals negative eight

Answer:

x = 8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos 60 = adj side/ hypotenuse

cos 60 = 4/x

x cos 60 = 4

x = 4 / cos 60

x = 4 / .5

x = 8

Answer:

x = 8 cm

Step-by-step explanation:

To solve it ,given that it is a right angled triangle.

We can use trigonometry functions

cos 60° = adjacent side / hypotenuse

cos 60° = 4 cm / x

multiply each side by x

x × cos 60° = 4 cm × x / x

x cos 60° = 4 cm

divide each side by cos 60°

x × cos 60°/cos 60° = 4 cm / 60°

x = 4 cm / 0.5 . .( given :- cos 60° =0.4 )

x = 8 cm

Answer:

12

Step-by-step explanation:

Answer:

The answer is A. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1 or C. Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1

Step-by-step explanation:

Vertex:  

(−1,0)

Focus:  

(−1,−1/4)

Axis of Symmetry:  

x

=

−

1

Directrix:  

y

=

1

4

x

y

−

3

−

4

−

2

−

1

−

1

0

0

−

1

1

−

4

Vertex:  

(

−

1

/2

,

−

1

/2

)

Focus:  

(−1/2,−5/8)

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

−

3

8

x

y

−

2

−

5

−

1

−

1

−

1

2

−

1

2

1

−

5

2

−

13

Vertex:  

(

−

1

,

0

)

Focus:  

(

−

1

,

−

1

/4

)

Axis of Symmetry:  

x

=

−

1

Directrix:  

y

=

1

4

x

y

−

3

−

4

−

2

−

1

−

1

0

0

−

1

1

−

4

Vertex:  

(

−

1

/2

,

9

/4

)

Focus:  

(

−

1/2

,

2

)

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

5

2

x

y

−

2

0

−

1

2

−

1

2

9

4

1

0

2

−

4

Answer:

3 Blue Umbrellas

Step-by-step explanation:

Given

[tex]B \to Blue[/tex]

[tex]Y \to Yellow[/tex]

[tex]R \to Red[/tex]

From the question, we have:

[tex]Y + R = 6[/tex] ---- i.e. 6 are not blue

[tex]B + R = 6[/tex] ---- i.e. 6 are not yellow

[tex]B + Y = 6[/tex] ---- i.e. 6 are not red

Required

The number of blue umbrellas

Make B the subject in: [tex]B + Y = 6[/tex]

[tex]B = 6 - Y[/tex]

Substitute: [tex]B = 6 - Y[/tex] in [tex]B + R = 6[/tex]

[tex]6 - Y + R = 6[/tex]

Collect like terms

[tex]R - Y = 6 - 6[/tex]

[tex]R - Y = 0[/tex]

Rewrite:

[tex]R = Y[/tex]

Substitute [tex]R = Y[/tex] in [tex]Y + R = 6[/tex]

[tex]Y + Y = 6[/tex]

[tex]2Y = 6[/tex]

Divide both sides by 2

[tex]Y=3[/tex]

Recall that: [tex]B = 6 - Y[/tex]

[tex]B = 6 - 3[/tex]

[tex]B = 3[/tex]

Answer:

3/88

Step-by-step explanation:

when multiplying fractions, you can just multiply across. make sure to simplify!

Step-by-step explanation:

the exterior angle at every interior angle will be found by 180 minus the interior because angles on a straight line add to 180 degrees

The sum of the exterior angles in a shape always add up to 350 degrees

Answer:

91

Step-by-step explanation:

5(20 - 3v)

5(20 - 3 x 3/5)

5(20 - 9/5)

5(91/5)

91

Answer:

C. Sequence 2 is arithmetic and Sequence 1 is geometric.

Step-by-step explanation:

Arithmetic sequence is where number is continuously increased or decreased in same amount we can see that the second sequence is decreases by 20 continuously

Geometric sequence is where a number is continuously divided or multiplied by same number

we can see that the first sequence is continuously multiplied by (-2)

Answer:

Step-by-step explanation:

360/2=180

5x+4x=180

9x=180

x=20

5×20:4×20

100:80

Answer:

Slope (m) is the number being multiplied by x (make sure you include the sign in front of it).

y- intercept (b) is the number other than the x

Step-by-step explanation:

Answer:

The slope is -9 and the y intercept is 2

Step-by-step explanation:

Write the equation in slope intercept form

y= mx+b where m is the slope and b is the y intercept

y = -9x+2

The slope is -9 and the y intercept is 2

Step-by-step explanation:

X/11+2=4

X+22/11=4 ( LCM of this denominators is 11)..

X+22=4×11

X+22=44

X=44-22

X=22 ANSWER

Answer:

-18 and 2

Step-by-step explanation:

- 18 x 2 = -36

-18 + 2 = -16

Answer:

-18 & 2

Step-by-step explanation:

-18 * 2 = -36

-18 + 2 = -16

Answer:

x = 33

Step-by-step explanation:

x = (135 - 69)/2    Tangent Secant Product

x = 66/2

x = 33

Answer:

About 706.5 or 707

Explanation:

3.14 • 5² (5² is also 25) = 78.5

78.5 • 9 = 706.5 or 707

Edit: Also posted a better picture for explanation. See the attachment.

Answer:

Step-by-step explanation:

10(h+1)-4=76

10h+10-4=76

10h+6=76

10h=76-6

h=70/10

h=7

Answer:

3.2%

Step-by-step explanation:

Answer:

60% of 20 = 12

Step-by-step explanation:

I didn't know how to write it out but 60% of 20 is 12

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. if you need a video Explanation https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the expression;

m = y2-y1/x2-x1

Making y2 the subject of the formula

Cross multiply

m(x2-x1) = y2-y1

Add y1 to both sides

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

m(x2-x1)+y1 = y2

Hence y2 = m(x2-x1)+y1

Answer:

40% of 80=32

25% of 60=15

10% of 90=9

50% of 70=35

80% of 500=400

75% of 80=60

90% of 250=225

65% of 400=260

85% of 800=680

55% of 140=77

45% of 160=72

95% of 180= 171

70% of 720=504

15% of 220=33

65% of 200= 130

Step-by-step explanation:

Answer:

32, 15, 9, 35, 400, 60, 225, 260, 680, 77, 72, 171, 504, 33, 130

Answer:

[tex]3x^2+8x+5[/tex]

Step-by-step explanation:

[tex](3x+5)(x+1)[/tex]

[tex]3x(x+1)+5(x+1)[/tex]        Distribute

[tex]3x(x+1)+5(x+1)[/tex]        Distribute [tex]3x(x+1)[/tex]

[tex]3x^2+3x+5(x+1)[/tex]        

[tex]3x^{2} +3x+5(x+1)[/tex]         Distrbute [tex]5(x+1)[/tex]

[tex]3x^2+3x+5x+5[/tex]            Combine like terms

[tex]3x^{2} +8x+5[/tex]

Answer:

3x²+8x+5

Step-by-step explanation:

Hi there!

We're given the product of two binomials: (3x+5)(x+1) and we want to express as a trinomial (polynomial with 3 terms)

we can multiply using FOIL; firsts, outers, inners, and lasts

Let's start by multiplying the firsts, which are the first terms in the two binomials, which are (3x+5) and (x+1)

So we'll multiply:

3x*x=3x²

Now we'll multiply the outers, which are the terms on the "outside" in the binomials, which are (3x+5) and (x+1)  (remember to include the sign!)

So we'll multiply:

3x*1=3x

then we'll multiply the inners, which are the terms on the "inside" of the binomials, which are (3x+5) and (x+1)

So we'll multiply:

5*x=5x

finally, we'll multiply the lasts, which are the last terms in the binomials, or (3x+5) and (x+1)

So we'll multiply:

5*1=5

now let's add up everything:

3x²+5x+3x+5

we have some like terms that we can combine

3x²+8x+5

Hope this helps!

area of a circle = πr²

22/7 × 692/100 × 692/100

150.50011

Answer:

slope = 1

Step-by-step explanation:

A standard linear function is

y = mx + b

where m = slope, b = initial value

Given y = x + 6

slope m = 1, b = 6

Slope of a line parallel to the given line should have the same slope, therefore slope required is m = 1.

Answer:

27

Step-by-step explanation:

14/2 + 5 * 4

Order of operations:

(14/2) + (5*4)

7 + 20 = 27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

C. 27

Step-by-step explanation:

Lets use BEDMAS:

14 ÷ 2 = 7

5 × 4 = 20

20 + 7 = 27

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Have a good day :)