The graph of y = 3x + 1 has a slope of 3, for it to be steeper the graph should have a slope of more than 3.
Therefore, the equation to use is y = 7x + 1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5(x+4)=70
Step 1: Simplify both sides of the equation.
−5(x+4)=70
(−5)(x)+(−5)(4)=70(Distribute)
−5x+−20=70
−5x−20=70
Step 2: Add 20 to both sides.
−5x−20+20=70+20
−5x=90
Step 3: Divide both sides by -5.
−5x
−5
=
90
−5
x=−18
Answer:
1) 13.3 cm
2) 48.3 cm
Step-by-step explanation:
1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.
Let OB = x, OC = OB + BC = x + 8
Therefore:

The height of triangle ODC = OC = x + 8 = 5.3 + 8 = 13.3 cm
2) Using Pythagoras theorem:
OD² = OC² + DC²
OD² = 13.3² + 15²
OD² = 401.89
OD = √401.89 = 20 cm
2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm
Answer:
y= -3x
Step-by-step explanation:
The graph of a line with a proportional relationship would have the line go through the origin.
Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.
y= -3x should be the correct answer.
Hope this helps.
Answer:
9/25
Step-by-step explanation:
Number of student who has cat , dog = 25 - 3 = 22
Number of students who has cat and dogs = (15 + 16) - 22
= 31 - 22 = 9
Number of students who has only cats = 15 - 9 = 6
Number of students who has only dogs = 16 - 9 = 7
P(Cat & dog) = 9/25