I don’t understand these question

Find the eqation of the line passing through the points(3,3) and (4,5)

Nikitich [7]

Answer:

The Answer is: y = 2x - 3

Step-by-step explanation:

Given points: (3, 3) and (4, 5)

Find the slope, m:

m = y - y1/(x - x1)

m = 3 - 5/(3 - 4)

m = -2/-1 = 2

Use the Point Slope form of the equation:

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 8 + 5

y = 2x - 3

Proof:

f(3) = 2(3) - 3

= 6 - 3 = 3, giving (3, 3)

4 0

3 years ago

Read 2 more answers

Factorise tis please. <img src="https://tex.z-dn.net/?f=%20%28x%2B3%29%5E%7B2%7D%20%2B2%28x%2B3%29" id="TexFormula1" title="

Otrada [13]

$\displaystyle \boxed{(a+b)=a^2+2ab+b^2} \\ \\ (x+3)^2+2(x+3)= \\ x^2+2 \cdot x \cdot 3 +3^2+2x+6 = \\ x^2+6x+9+2x+6= \\ x^2+8x+15= \\ \\ \Delta= b^2-4ac \\ \Delta=8^2-4 \cdot1 \cdot15 \\ \Delta=64-60=4 \\ \\ \\ X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} = \frac{-8\pm2}{2} = \\ \\X1=5 \\ X2=3$

5 0

3 years ago

Two pedestrians simultaneously left two villages 27 km apart and walked toward each other. the first one walked 4 km per hour, a

Salsk061 [2.6K]

Step 1: Assign variable for the unknown that you need to find.

Let ' t ' be the number of hours it took for the pedestrians to meet.

Step 2: List the give details

Speed of first pedestrian = 4 km/hr.

Speed of second pedestrian = 6 km/hr.

Distance between two pedestrians = 27 km.

Step 3: Set up an equation

The relationship between speed, distance and time is given below:

$Distance= \; Rate \times Time$

The first one walked 4 km per hour, distance traveled by first pedestrian is given below:

$Distance_{1^{st} \; pedestrian} \; = \; 4t\\\\Distance_{2^{nd} \; pedestrian} \; = \; 6t$

Two pedestrians simultaneously left two villages 27 km apart and walked toward each other.

$Distance_{1^{st} \; pedestrian} +Distance_{2^{nd} \; pedestrian} =27\\\\4t+6t=27\\Combine \; Like \; Terms\\\\10t=27\\Dividing \; 10 \; on \; both \; sides\\\\ \frac{10t}{10} = \frac{27}{10} \\Simplifying \; fraction \; on \; both \; sides\\\\t=2.7 \; hours$

Conclusion:

The pedestrian meet after 2.7 hours.

3 0

3 years ago

2.

soldier1979 [14.2K]

Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .

Slope-intercept form: y = − 6 /5 x − 53 /5

Point-slope form: y + 7 = − 6 /5 ⋅ ( x + 3 )

3 0

3 years ago

The amount of red blood cells in a blood sample is equal to the total amount in the sample minus the amount of plasma. What is t

zaharov [31]

Answer:

Step-by-step explanation:

The question is:

The amount of red blood cells in a blood sample is equal to the total amount in the sample minus the amount of plasma. What is the total amount of blood drawn? Red blood cells = 45% Plasma = 5.5 ml

Solution:

We have given:

The amount of red blood cells in a blood sample is equal to the total amount in the sample minus the amount of plasma. We need to find how many ml is 1% of blood.

The equation we get is:

Red blood cells = total sample - amount of plasma

45% = 100% - 5.5 ml

Combine the percentages:

5.5 ml = 100%-45%

5.5 ml = 55%

0.1 ml = 1%

1% = 0.1 ml

Now you can find out red blood cells volume or total sample volume.

Red blood cells volume = 45% x 0.1ml/%

= 4.5ml

Total sample volume =100% x 0.1ml/%

= 10ml .

4 0

3 years ago