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WINSTONCH [101]
3 years ago
11

Solve for a and b (6a-3)=(7b-10)

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer:

for A=\frac{7b-7}{6} and for B=\frac{6a+7}{7}

Step-by-step explanation:

For A

\left(6a-3\right)=\left(7b-10\right)

6a-3+3=7b-10+3

6a=7b-7

\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}

a=\frac{7b-7}{6}

For B

\left(6a-3\right)=\left(7b-10\right)

7b-10=\left(6a-3\right)

7b-10=6a-3

7b-10+10=6a-3+10

7b=6a+7

\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}

b=\frac{6a+7}{7}

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The function h(x) = x2 + 14x + 41 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. S
denpristay [2]
Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
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(h,k) is the vertex;
thus
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3 0
3 years ago
The product of x and 9 equals 45
adell [148]

Answer:

5

Step-by-step explanation:

because ?*9=45

45÷9=5

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP! THANK YOU
Dafna1 [17]

Answer:

39 m.

Step-by-step explanation:

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2

b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

4 0
3 years ago
What is the equation of the points (-3,2) (2,-1) in standard form? 
Evgen [1.6K]
You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?
3 0
3 years ago
50 points! Someone actually help instead of putting random answers! Random answers will be reported
In-s [12.5K]

<em>If</em><em> </em><em>you</em><em> </em><em>only</em><em> </em><em>want</em><em> </em><em>to</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>way</em><em> </em><em>i do</em><em> </em><em>it</em><em> </em><em>to</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>without</em><em> </em><em>seeing</em><em> </em><em>my</em><em> </em><em>explanation</em><em> </em><em>ignore</em><em> </em><em>sentences</em><em> </em><em>with</em><em> </em><em>symbol</em><em> </em><em>'</em><em>#</em><em>'</em>

<h2>Answer</h2>

•Pic on the left

x = 8.36

y = 140.18°

• Pic on the right

x = 110°

<h2>Way to do</h2>

• This one for the pic on the left

#Since the total degree of a triangle is 180° and one of the side known 90° (L) so the rest must be 90° (180° - 90° = 90°)

#known that the other side of triangle degree is (5x - 2)° and 6x° so... u can find the x! :D

90 = (5x - 2) + 6x

90 = 11x - 2

90 + 2 = 11x

92 = 11x

x = 92 : 11

x = 8.36 (2 decimal places)

#Now you know the x, you can now find the degree

#degree of (5x - 2)

5x - 2 =

5(8.36) - 2 =

41.81 - 2 = 39.81

#Since the y° is in the other side of the line of degre 39.81°, you can find it by minus it with 180° (straight line with no degree is 180°)

180° - 39.81° = 140.18

•This one for the pic on the right

#Lol this one is easy. I already told you before that the straight line degree is 180° and you can find one of the side if you know one of the degree side, so you can find it.

# Also as i said before, total triangle degree is 360°

#Find the degree of the other side of x° (only can find the degree of other side x because its inside the triangle)

Degree = 180° - 80° - 30° = 70°

#Now you can get x

x = 180° - 70° = 110°

<h2>For moderators that see this</h2>

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(

7 0
3 years ago
Read 2 more answers
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