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Rasek [7]
2 years ago
7

Algebraic expression for five more than the quotient of a number and four

Mathematics
1 answer:
Effectus [21]2 years ago
4 0

Answer:

5+x/4

Step-by-step explanation:

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Triangle KLM was dilated according to the rule
Anna35 [415]

Answer:

The statement that is true is;

The vertices of the image are closer to the origin than those of the pre-image

Step-by-step explanation:

The dilation rule is 0.75(x,y)= (0.75x, 0.75y)

 K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)

 L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)

M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)

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2 years ago
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The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p
makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of -\dfrac{1}{2}.

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

m=\dfrac{y_2-y_1}{x_2-x_1}

The line passing through (-2,5) and (2,p). So, the slope of the line is:

m=\dfrac{p-5}{2-(-2)}

m=\dfrac{p-5}{2+2}

m=\dfrac{p-5}{4}

It is given that the gradient or slope of the line is -\dfrac{1}{2}.

\dfrac{p-5}{4}=-\dfrac{1}{2}

On cross multiplication, we get

2(p-5)=-4(1)

2p-10=-4

2p=-4+10

2p=6

Divide both sides by 2.

p=3

Therefore, the value of p is 3.

4 0
2 years ago
What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.
Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}

6 0
3 years ago
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Can someone please help me i have no one to help me
GREYUIT [131]
It is an acute triangle because none of its angles are equal to (right) or above (obtuse) 90 degrees.
6 0
3 years ago
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1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.
DaniilM [7]

Answer:

Step-by-step explanation:

a) We would use the formula for exponential growth model which is expressed as

y = b(1 + r)^t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 5655

r = 1.4% = 1.4/100 = 0.014

Therefore, the equation would be

y = 5655(1 + 0.014)^t

y = 5655(1.014)^t

b) in 2022, t = 2022 - 2010 = 12 years

y = 5655(1.014)^12

y = 6682

6 0
3 years ago
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