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marin [14]
3 years ago
7

Graph the line that represents this equation: y=-5z +2

Mathematics
1 answer:
NISA [10]3 years ago
7 0
To graph a linear equation you use the slope and y-intercept.
Step 1: since 2 is your y intercept you plot your point at 2 on the number line.

Step 2: use your slope to find the second point since -5/1 is your slope you go down 5 spaces and go right 1 space.

Step 3: draw line to connect the 2 points

Step 4: repeat step 2
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The area of the base of a rectangular prisim four and three fourths and the height of two and one third what is the volume
VikaD [51]
Data:
A_{base} = 4 \frac{3}{4} = \frac{4*4+3}{4} = \frac{16+3}{4} \to A_{base} = \frac{19}{4}

h (height) = 2 \frac{1}{3} =  \frac{3*2+1}{3} = \frac{6+1}{3} \to h (height) = \frac{7}{3}
v (volume) = ?

Formula: V =  A_{b}*h

Solving:
V = A_{b}*h
V =  \frac{19}{4} * \frac{7}{3}
V =  \frac{133}{12}
V = 11.08333....
\boxed{\boxed{V \approx 11.08}}\end{array}}\qquad\quad\checkmark
7 0
4 years ago
There are 12 boys and 15 girls in your class for new students three boys and one girl join your class what is the ratio of the c
Finger [1]
Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:

Before: 15:12 simplified as 5:4
After 16:15
6 0
3 years ago
Read 2 more answers
What is the ratio 42 inches to 9 feet as a fraction in simplest form?
murzikaleks [220]
6 goes into both 42 and 108 (9x12 so you are working with equal measurements) and you get 7/18
6 0
4 years ago
A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.​
Nady [450]

Answer:

Yes, this is a right triangle

Step-by-step explanation:

Plug the values into the pythagorean thm.

1.5^2 + 2^2 = 2.5^2

2.25+4=6.25

6.25=6.25

7 0
4 years ago
In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an
Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

BC^2=AC^2+AB^2

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

10^2=a^2+a^2

100=2a^2

\Rightarrow a^2=50

\Rightarrow a=\pm5\sqrt{2}

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

\frac{1}{2}\cdot BC\cdot AD     (1)

\Rightarrow \frac{1}{2}\cdot 10\cdot AD

And other method of area of triangle is:

\frac{1}{2}\cdot AB\cdot BC       (2)

Equating (1) and (2) we get:

\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a

\Rightarrow AD=\frac{a^2}{10}

\Rightarrow AD=\frac{50}{10}=5

Using area of triangle is: \frac{1}{2}\cdot BC\cdot AD

Now, the area of triangle ABC=\frac{1}{2}\cdot 5\cdot 10

\Rightarrow 25



4 0
3 years ago
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