Please solve all with explanation

Answer:

Option C is the correct one

Step-by-step explanation:

given equation of a line is y=-1/3x+1

comparing the given equation with y=mx+c

therefore,slope(m)=-1/3

then,

slope of line perpendicular to the line having slope -1/3 is (m2)=3

Equation of line having slope (m2)=3 and passing through point (2,7) is

y-y1=m2*(x-x1)

or,y-7=3(x-2)

or,y-7=3x-6

or,3x-y-6+7=0

or,3x-y+1=0

or,3x-y=-1 is the req.equation.

Answer:

9x-7

Step-by-step explanation:

2(3x-5) = 6x - 10

3(x+3) = 3x + 3

= 9x-7

Answer:

Step-by-step explanation:

2*(3x-5)+3(x+3)=2*3x - 5*2 + x*3 + 3*3

                         = 6x - 10 + 3x + 9

                         = 6x + 3x - 10 + 9   {Combine like terms}

                         = 9x - 1

Answer:

The leading coefficient is -3

Step-by-step explanation:

If helps mark as brainllest please!!!

Answer:

1

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

All spinners have equal areas & circumference on each outcome, so spinning an A is one out of five, or 1/5.  The probability of spinning any number is 1/6.  Since 1, 3, and 5 are all odd numbers, the probability of spinning an odd number is 3/6, or 1/2.

The probability of spinning both spinners successfully (an A AND an odd number) can be found by the product rule, which is the product of the two probabilities, namely 1/5 * 1/2 = 1/10.

Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

Answer:

see below

Step-by-step explanation:  6  23  17  30

the length CD is  the square root of the delta X value squared + the delta Y value squared

a² + b² = c²   is the common form for this problem use

ΔX² + ΔY² = CD²

ΔX = X2 - X1        ΔY = Y2 - Y1

ΔX = 2 - (-2)        ΔY = 5 - (-5)

ΔX = 4                ΔY = 10

4² + 10² = CD²

16 + 100 = CD²

116  = CD²

√116  =  √CD²  = CD

√(4 × 29)  = CD

2√29  = CD    the first option

Answer:

Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )

Step-by-step explanation:

(For Diagram, Please Find in attachment)

Now In Triangle OAB

        1/2 = -X / 3 Thus X= -3/2

        [tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2

Step-by-step explanation:

P O R N G I R L S O N L Y

xni-jwtm-twb

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

[tex]\frac{sin55}{3.5} =\frac{sinx}{4}[/tex] and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

[tex]sinx=\frac{4sin55}{3.5}[/tex] so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

Answer:

It is 70

Step-by-step explanation:

Khan Academy

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

Answer:

Triangle Sum Theorem

Step-by-step explanation:

These do not give you congruent angles

Answer:

[tex]y=\frac{15}{18} x+13[/tex]

Step-by-step explanation:

Use a graphing calculator,

hope it helps

Answer:

x = 4.5

Step-by-step explanation:

thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:

4/9 = 2/x

cross-multiply:

4x = 18

x = 4.5

Answer:

The intersection point is (2, 3)

Step-by-step explanation:

The given (linear) equations for the point of intersection is required are;

y = x + 1...(1)

3·y + 2·x = 13...(2)

To find the point of intersection without using graph, we note that the point of intersection is the point at which the values of both equations are equal

We find the values of 'x' and y-coordinates at the point of intersection as follows;

Making 'y' the subject of equation (2) gives;

y = (13 - 2·x)/3

When both lines intersect, the 'x' and y-values are the same;

y = x + 1 for the first line, and y = (13 - 2·x)/3 for the second line, therefore, at the intersection point, we have;

y = y

x + 1 = (13 - 2·x)/3

3·(x + 1) = 13 - 2·x

3·x + 3 = 13 - 2·x

3·x + 2·x = 13 - 3

3·x + 2·x = 5·x = 13 - 3 = 10

∴ 5·x = 10

Therefore, at the point of intersection, x = 10/5 = 2

x = 2

'y' is given in equation (1) by y = x + 1, therefore, at the point of intersection, 'x = 2', we get;

y = x + 1

∴ The value of 'y' at the point of intersection is y = 2 + 1 = 3

y = 3

Therefore, the (x, y) coordinate at the point of intersection is (2, 3) which can be written as follows;

The point of intersection = (2, 3).

Answer:

y=3x-2 (d)

Step-by-step explanation:

First, we need to look at the y-intercept, we can see that when x = 0, y= -2. So then our equation has to be y=mx+b, and b is -2. next we find our slope, we can see that we go up by 3, then over 1, so our slope is 3/1 or 3. so the final equation is y=3x-2.

Hope this helps!

:)

Answer:

D

Step-by-step explanation:

You can use desmos graphing cacluator for this

Step-by-step explanation:

the answer is in the above image

but I do not get the meaning of Dy

Answer:

4562.50 per month

Step-by-step explanation:

To find the monthly salary, divide by the number of months ( which is 12)

54750/12

4562.50 per month

Answer:

32 is rational number.

Step-by-step explanation:

Because it can be expressed as the quotient of two integers : 32/1

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

hope it helps you ♡

see the attachment for further information

Answer:

-3

Step-by-step explanation:

Answer:

raj

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Have a nice day

Answer:

3.

Step-by-step explanation:

R = √[(2)^2 + (√5)^2]

= √(4 + 5)

= √9

= 3.

Answer:

3

Step-by-step explanation:

[tex]R =\sqrt{a^{2}+b^{2}}\\\\= \sqrt{2^{2}+(\sqrt{5})^{2}}\\\\= \sqrt{4+5}\\\\=\sqrt{9}\\\\= \sqrt{3*3}\\\\= 3[/tex]

Hint:  (√5)² = [tex]\sqrt{5}*\sqrt{5} = \sqrt{5*5}=5[/tex]

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

Answer: The estimated product is 81

8.82 and 9.41 are both 9 rounded to the nearest whole number

Therefore, 9*9=81.

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

6t - 20 - 32u

t = 6

u = 1/4

Step 2: Evaluate

Answer:

8

Step-by-step explanation:

Given

6t - 20 - 32u ( substitute the given values into the expression )

= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )

= 36 - 20 - 8

= 16 - 8

= 8