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Serggg [28]
2 years ago
13

Write an inequality that represents the graph.

Mathematics
1 answer:
Anika [276]2 years ago
5 0

Answer:

y - 2x - 1 = 0

Step-by-step explanation:

the slope is :

\tan( \alpha )  = 4  \div 2 = 2

at a pt on graph , when

x = 1 \\ y = 3 \\

therefore, coordinates are (1,3)

The equation is :

(y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\  y - 3 = 2x - 2 \\ y - 2x - 1 = 0

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kotegsom [21]
F(5) is 3, because the graph hits 3 when the x is 5.
3 0
2 years ago
The table shows the distances and times that four rowboats traveled. Which rowboat was the fastest?
g100num [7]

Answer: the answer is C

Step-by-step explanation:

8 0
3 years ago
Write the algebraic expression of “the sum of a multiple of 3 and the number one greater than multiple of 3”
marysya [2.9K]

Answer:

9 IS THE ANSWER

Step-by-step explanation:

3*3=9

6 0
2 years ago
It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value
Liono4ka [1.6K]

Answer:

Hello,

<u>k=-3 and h=-2</u>

Step-by-step explanation:

5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\

h+1 is thus a root of x²+(-3-1)*x-5=0

x²-4x-5=0

x²+x-5x-5=0

x(x+1)-5(x+1)=0

(x+1)(x-5)=0

h+1=-1

<u>h=-2</u>

6 0
3 years ago
Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .
Katyanochek1 [597]

Answer:

a)The component form is

\vec {QP}=\binom{ - 1}{ - 8}

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

\vec {QP}=\vec {OP}-\vec{OQ}

We substitute the position vectors to get:

\vec {QP}=\binom{ - 8}{7} -  \binom { - 7}{15}

We subtract the corresponding components to obtain:

\vec {QP}=\binom{ - 8 -  - 7}{7 - 15}

This gives:

\vec {QP}=\binom{ - 8  + 7}{7 - 15}

This simplifies to:

\vec {QP}=\binom{ - 1}{ - 8}

The magnitude of a vector in the component form:

\binom{x}{y}

is

\sqrt{ {x}^{2}  +  {y}^{2} }

This means:

|\vec {QP}|= \sqrt{ {( - 1)}^{2}  +  {( - 8)}^{2} }

This simplifies to:

|\vec {QP}| = \sqrt{ 1 +  64 }

|\vec {QP}| = \sqrt{ 65 }

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0
3 years ago
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