The answer is (n+11)(n-4). You want to find what multiplies to make -44 and what adds to make 7.
Answer:
Step-by-step explanation:
To be rational means to be able to express the result as the ratio of two whole numbers.
a) 4/7 + (-1/3) = 12/21 - 7/21 = 5/21 so rational
b) √(4) • 2/5 = ±2 • 2/5 = ±4/5 so both solutions are rational
Answer: B
Step-by-step explanation:
Domain is x values
Range is y values
Domain you look from left to right. You can see it starts at -3, and it goes all the way to 2. NOT 4 BUT 2!! Since we are looking at the X.
Range.. WE ARE LOOKING AT THE LOWEST POINT!! LOWEST POINT FIRST!1 I cannot stress enough. The lowest y-value is -2, and it's maximum point is 4!
REMEMBER:
DOMAIN = X LEFT TO RIGHT
RANGE= Y LOWEST POINT TO HIGHEST
Answer: 9
Step-by-step explanation: Here, we have the expression <em>4x - 7</em> and we want to evaluate the expression when <em>x</em> is equal to 4.
To evaluate an expression, we simply plug the value
of the variable into the expression and solve.
So here, since <em>x</em> is equal to 4, we have 4(4) - 7.
4(4) is equal to 16.
So we have 16 - 7 which is equal to 9.
So the value of our expression when <em>x</em> is equal to 4 is 9.
Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because

2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus
