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NeX [460]
2 years ago
15

The sum of two numbers is 6. One number is 15 less than two times the second number. What is number

Mathematics
1 answer:
Zina [86]2 years ago
3 0

Answer:

8

Step-by-step explanation:

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Substitution method <br><br> x-7y=-9<br> -x+8y=10
max2010maxim [7]

Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

y=1

substituting y=1 in 3

x=7(1)-9

x=7-9

x=-2

7 0
2 years ago
A(x, 1), B(5,3) and C(4,-3) are the vertices of triangle ABC. If AB=AC, find the value of x​
Molodets [167]

\\ \rm\longmapsto AB=AC

\\ \rm\longmapsto \sqrt{(x-5)^2+(1-5)^2}=\sqrt{(x-4)^2+(1+3)^2}

\\ \rm\longmapsto (x-5)^2+(-2)^2=(x-4)^2+4^2

\\ \rm\longmapsto (x-5)^2+4=(x-4)^2+16

\\ \rm\longmapsto (x-5)^2-(x-4)^2=16-4=12

\\ \rm\longmapsto x^2-10x+25-x^2+8x-16=12

\\ \rm\longmapsto -2x+9=12

\\ \rm\longmapsto -2x=12-9=3

\\ \rm\longmapsto x=\dfrac{3}{-2}=-1.5

5 0
3 years ago
Read 2 more answers
Which expression represents, six times a number plus 8 times a number?
Arada [10]
6a+8b; when a variable is next to a coefficient then that means they are multiplying each other, we just don't know what a or b is.
3 0
3 years ago
Read 2 more answers
3/4log7(625)+2log7(x)=2 solve for x
sdas [7]
Simplifies to:
1.690196x+396.139706=2

Let's solve your equation step-by-step.
1.690196x+396.139706=2


Step 1: Subtract 396.139706 from both sides.

1.690196x+396.139706-396.139706=2-396.139706



1.690196x=-394.139706

Step 2: Divide both sides by 1.690196.
1.690196x/1.690196 -394.139706/1.690196

x= -233.191716
Answer: x= -233.191716

7 0
3 years ago
The height of a ball​ (in feet) after t seconds is given by the quadratic function h=-16(t-5)^2+116
Dmitriy789 [7]

Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}

6 0
2 years ago
Read 2 more answers
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