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jasenka [17]
3 years ago
9

How does the graph of y=4x+7 differ from the graph of y=4x

Mathematics
2 answers:
Schach [20]3 years ago
3 0

Find any two points on the line.

<span>x=0⇒y=4<span>(0)</span>+7=7⇒</span> Point 1: <span>(0,7)</span>

<span>x=−1⇒y=4<span>(−1)</span>+7=3⇒</span> Point 2: <span>(−1,3)</span>

Step 2: Plot the two points from Step 1

Step 3: Draw a straight line through both points

Mrac [35]3 years ago
3 0

Answer:

It is located 7 units up.

Step-by-step explanation:

As you can see both graphs are linear since they don´t have quadratic or exponential terms, so both graphs are linear and can be determined, now the point where the graphs intersect with the Y axis will be different, because when the value of X is 0, in the first one the Y equals 7 and in the other the Y equals 0, so the lines are paralallel but are 7 units apart from eachother in the Y axis.

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A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet

5 0
3 years ago
Which postulate or theorem proves that these two triangles are
kirill115 [55]

Answer:

AAS Congruence Theorem

4 0
3 years ago
Which equation is true for the value b= 10?
ArbitrLikvidat [17]
The answer to the question is D
7 0
3 years ago
Read 2 more answers
If alpha beta are the roots of the equation
Vikki [24]

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\ \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }

Thank you

8 0
3 years ago
An outlet store receives a shipment of sets of bunk beds that will be offered at a discounted price of $160 apiece. The sets of
GrogVix [38]

Answer:

17.1%

Step-by-step explanation:

160/193=0.829

1-0.829=0.171

Move the decimal place over two places, and the answer is 17.1%

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3 years ago
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