The answer is Y=1
5(2y-3)-3y=8-2y-15
10y-15-4y=8-2y-15
4y= 4y
———————————-
10y-15= 8+2y-15
15= 15
———————————
10y= 8+2y
-2y= -2y
———————————-
8y=8
—— —-
8 8
Y=1
Answer:
D. 3*10^2
Step-by-step explanation:
Given the diameter of human red blood cell = 0.000009 m
diameter of a cold virus = 0.00000003 m
To know how many times as large is the diameter of a red blood cell as the diameter of a cold virus, we will take the ratio of the diameter of human red blood cell to that of a cold virus as shown;
diameter of human red blood cell/diameter of a cold virus = 0.000009 m/0.00000003 m
= 9*10^-6/3*10^-8
= 9/3 * 10^-6-(-8)
= 3 * 10^(-6+8)
= 3*10^2
Hence the diameter of a red blood cell is 3*10^2 larger than that of the cold virus
PLS HELP ME, ANSWER MY QUESTION
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Answer:
y is less than or equal to negative three fourths times x plus 2
Step-by-step explanation:
step 1
Find the equation of the solid line
we have the coordinates (0,2) and (4,-1)
Find the slope m
The formula to calculate the slope between two points is equal to
substitute
<em>Find the equation of the line in slope intercept form</em>
where
m is the slope
b is the y-intercept (value of y when the value of x is equal to zero)
we have
---> is given
substitute
Remember that
The shading area is below the line
therefore
The inequality is
y is less than or equal to negative three fourths times x plus 2
