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Talja [164]
3 years ago
8

What is the equivalent ratio to 7:10

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

14/20

Step-by-step explanation:

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What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
Ivanshal [37]

Answer:

C. y = 2x − 5

Step-by-step explanation:

Given equation of line

2x − y = 3

rewriting the equation in slope intercept form as answer are given slope intercept form

y = 2x - 3

slope intercept form of equation is

y = mx + c

where m is the slope

c is y intercept

thus

slope for y = 2x - 3 when comparing with y = mx + c is 2

now we know slope of two parallel line is same

thus,

the slope of  line that is parallel to the line 2x − y = 3

is 2

Let the equation of required line be y = mx + c

where m = 2

thus

y = 2x + c is the new required equation

it passes through the point (2, −1)

using y = -1 and x = 2 in y = 2x + c

-1 = 2*2 + c

c = -1 - 4

c = -5

thus,

equation of required line is option c

y = 2x - 5 ----answer

7 0
2 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
11 months ago
The equation of the line passes through the points (-2,0) and (-2,3) is
Iteru [2.4K]

Answer:

See my explanation.

Step-by-step explanation:

y=-2

5 0
2 years ago
What’s the answer to number 4 ?
Marizza181 [45]

Answer:

4.36*10^-^1

Step-by-step explanation:

Given:  

             (3.6*10^-^2)+(4.0*10^-^1)

Make the power of '10' equal by shifting the decimal place of any one value.

                (0.36*10^-^1)+(4.0*10^-^1)

Taking the '10^-^1' common

               10^-^1*(0.36+4.0)

Adding the values in the bracket gives:

                      4.36*10^-^1

7 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)
Mkey [24]

Answer:

=\left(-\frac{19}{2},\:-2\right)

Step-by-step explanation:

\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)

5 0
3 years ago
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