Answer:
y = 2x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 3 ) into the partial equation
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 2x - 7 ← equation of parallel line
Time it by the number before hand and you get 8 then 16 then 32 . Think about it it works and it’s a consistent continental
Answer:
RT = 12 units
Step-by-step explanation:
From the figure attached,
ΔSRQ is right triangle.
m∠R = 90°
An altitude has been constructed from point T to side SQ.
m∠RTQ = 90°
By applying geometric mean theorem in triangle SRQ,
x² = 16 × 9
x² = 144
x = √144
x = 12
Therefore, length of altitude RT is 12 units.
Answer: Solve for X
4x−5y<1
Step-by-step explanation:
step 1 add 5y to each side
4x−5y+5y<1+5y
4x<5y+1
Step 2: Divide both sides by 4.
4x4<5y+14
x<54y+14
Answer:
x<54y+14
Let's solve for x.
12y−x<3
Step 1: Add (-1)/2y to both sides.
−x+12y+−12y<3+−12y
−x<−12y+3
Step 2: Divide both sides by -1.
−x−1<−12y+3−1
x>12y−3
Answer:
x>12y−3
now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
