Jerry received both the 15th highest and the 15th lowest grade in the class. how many students are there in the class?

Abby is baking cookies. Each batch of cookies is 8.9 oz. What is the weight of 2.5 batches of cookies? *

scoray [572]

Answer:

22.25

Step-by-step explanation:

6 0

3 years ago

What is the equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y =

Zepler [3.9K]

The equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form is x - 2y = - 3

Solution:

Given, line equation is 2x + y = 3

2x + y – 3 = 0 ----- eqn (1)

We have to find a line that is perpendicular to 2x + y – 3 = 0 and passing through (5, 4).

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{1}=-2$

$\text { Slope of a line } \times \text { slope of perpendicular line }=-1$

$\begin{array}{l}{-2 \times \text { slope of perpendicular line }=-1} \\\\ {\text { Slope of perpendicular line }=-1 \times \frac{1}{-2}=\frac{1}{2}}\end{array}$

Now, slope of our required line = 1/2 and it passes through (5, 4)

The point slope form is given as:

$y-y_{1}=m\left(x-x_{1}\right)$

$\text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }$

$\text { Here in our problem, } \mathrm{m}=\frac{1}{2}, \text { and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(5,4)$

$y-4=\frac{1}{2}(x-5)$

Now let us convert to standard form:

The standard form of a line is just another way of writing the equation of a line.

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.

2(y – 4) = 1(x - 5)

2y – 8 = x – 5

x – 2y - 5 + 8 = 0

x - 2y + 3 = 0

x - 2y = - 3

Hence, the line equation in standard form is x - 2y = - 3

4 0

3 years ago

Please help me with the question below

den301095 [7]

Answer:
15 feet

Explanation:
Triangle ABC is similar to triangle EDC, meaning they would’ve been congruent if it weren’t for their size.
This also means they don’t have the same side lengths but have the same proportions in comparison to each other.

The sides on the two triangles also correspond with each other. For example, line DC corresponds with line BC.
Knowing that, we can conclude that line ED also corresponds with line AB. Line ED is 12 ft and line AB is 4 ft. To get from 4 to 12, you multiply 3 (4*3=12).

Line EC also corresponds to line AC. So to calculate for line EC, we multiply the length of line AC by 3. 5*3=15, so therefore line EC is equal to 15.

5 0

4 years ago

33) What value for x makes this equation true? 4x + 3 = 23

Tju [1.3M]

Answer:

x = 5

Step-by-step explanation:

4x + 3 = 23

Subtract 3 from both sides;

4x = 20

Divide both sides by 4;

x = 5

3 0

3 years ago

Read 2 more answers

a boat can travel 176 kilometers on 88 liters of gasoline. How much gasoline will it need to go 250 kilometers

bagirrra123 [75]

It would need 125 litters of gasoline

8 0

3 years ago