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m_a_m_a [10]
3 years ago
9

Calculate the product 48.9.8

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0
Do you want it to multiply. O que ?
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Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line
Vanyuwa [196]

Answer:

3x-5y=-20

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\

y=\frac{3}{5}x -\frac{7}{5}

The slope is m=\frac{3}{5}.

2y-9x=8 has the same y-intercept as the line. Let's convert.

2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}

y=\frac{8}{2}+\frac{9x}{2}  \\y=4+\frac{9}{2}x

The y-intercept is 4.

We take m=\frac{3}{5} and b=4 and substitute into y=mx+b.

y=\frac{3}{5}x+4

We now convert to standard form.

-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

-5(-\frac{3}{5}x+y=4)\\3x-5y=-20



3 0
3 years ago
Find the rate of change of the function h(x) = 2 x on the interval 2 ≤ x ≤ 4. The rate of change is a0.'
IceJOKER [234]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
const2013 [10]

Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

C^2 = 42.25

C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

7 0
2 years ago
Applications Day #1:
Lelu [443]
I don’t even know how to get the information from the school that is not working on my
6 0
2 years ago
Can you fill the blank space; 19=8, 6=3, 70=7, 8=5, 4=4, 60=5, 15=7, 16=? 17=?<br><br>​
Inga [223]

Answer:

7

9

Step-by-step explanation:

key is the number of letters in each word

  • 16= sixteen= 7 letters
  • 17= seventeen= 9 letters

3 0
3 years ago
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